{"id":1054,"date":"2018-05-28T06:45:02","date_gmt":"2018-05-28T11:45:02","guid":{"rendered":"https:\/\/mathisvisual.com\/?p=1054"},"modified":"2018-05-24T14:21:54","modified_gmt":"2018-05-24T19:21:54","slug":"integer-division-part3","status":"publish","type":"post","link":"https:\/\/mathisvisual.com\/integer-division-part3\/","title":{"rendered":"Visualizing Integer Division: Positive Divided By a Negative"},"content":{"rendered":"<p><iframe loading=\"lazy\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/Rp0EDeJu6q0?wmode=transparent&amp;rel=0&amp;feature=oembed\" frameborder=\"0\" allow=\"autoplay; encrypted-media\" allowfullscreen><\/iframe><\/p>\n<p>So far in the\u00a0<strong>integer division\u00a0<\/strong>series, we have tackled the following ideas:<\/p>\n<ul>\n<li><a href=\"https:\/\/mathisvisual.com\/division\/\" target=\"_blank\" rel=\"noopener\">Whole Number Division and the Two Types of Division: Quotative and Partitive<\/a><\/li>\n<li><a href=\"https:\/\/mathisvisual.com\/integer-division\/\" target=\"_blank\" rel=\"noopener\">Division of Integers: Negative Divided By a Negative<\/a><\/li>\n<li><a href=\"https:\/\/mathisvisual.com\/integer-division-part2\/\" target=\"_blank\" rel=\"noopener\">Division of Integers: Negative Divided By a Positive<\/a><\/li>\n<\/ul>\n<p>If you have yet to view those posts, you should definitely go back prior to moving on to ensure that you are ready to grasp our last step in the\u00a0Division of Integers Series:<strong> Positive Number Divided By a Negative Number<\/strong>.<\/p>\n<p>In this video, we will address the division of a positive dividend by a negative divisor first using partitive (or fair share) division, then quotative (or measured) division. The viewer will also be prompted to pause the video and try one their own using concrete manipualtives and\/or visuals.<\/p>\n<p>See the instructional guide below aimed to help teachers and\/or parents use this activity with their own students\/children.<\/p>\n<p>&nbsp;<\/p>\n<h2>Visual Prompt #1: Partitive Division<\/h2>\n<p>In <a href=\"https:\/\/youtu.be\/Rp0EDeJu6q0\" target=\"_blank\" rel=\"noopener\">the video above<\/a>, we start with dividing a negative by a negative through partitive division:<\/p>\n<blockquote><p><em>8 \u00f7 (-2) = ___<\/em><\/p><\/blockquote>\n<p>in words:<\/p>\n<blockquote><p><em>8 divided into -2 groups gives a result of ___ per group<\/em><\/p><\/blockquote>\n<p>&nbsp;<\/p>\n<p>So, let&#8217;s have the viewer model concretely and\/or visually the following:<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1073\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative partitive 8 divided into -2 groups prompt\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.004-partitive-8-divided-into-2-groups-prompt.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>We can approach this using a set or linear model where we are spatially splitting the quantity into 2 equal &#8220;negatively charged&#8221; groups and counting the number of objects in each group. We can think of this as repeated subtraction if we were to fair share 1 object at a time or 2 objects at a time, up to a quantity that a student is comfortable to <a href=\"https:\/\/mathisvisual.com\/subitizing\/\" target=\"_blank\" rel=\"noopener\">subitize<\/a> quickly for distributing equally to the two groups.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1072\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative partitive 8 divided into -2 groups prompt solution\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<h2>Visual Prompt #2: Quotative Division<\/h2>\n<p>Now we move on to approaching the same problem from a partitive division perspective:<\/p>\n<blockquote><p><em>8 \u00f7 (-2) = ____<\/em><\/p>\n<p>or<\/p>\n<p><em>8 divided into groups of -2 gives a result of ____ groups.<\/em><\/p><\/blockquote>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1071\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative quotative 8 divided into groups of -2 prompt\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.013-quotative-8-divided-into-groups-of-2-prompt.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>The problem we run into here is that we want to determine how many groups of -2 we can create from 8.<\/p>\n<p>This is a problem because\u00a0<strong>we can&#8217;t make any groups of -2 <\/strong>(or so it may seem).<\/p>\n<p>If we determine first how many groups of +2 we can make (4 in total), we can negate the negative of each group by using negatively charged groups:<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1070\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative quotative 8 divided into groups of -2 solution step 1\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.021-quotative-8-divided-into-groups-of-2-solution-step-1.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>So instead of having 4 positively charged groups of +2, we can express those groups as 4 negatively charged groups of -2.<\/p>\n<p>In other words, we have:<\/p>\n<blockquote><p><em>-4 groups of -2<\/em><\/p><\/blockquote>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1069\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative quotative 8 divided into groups of -2 solution step 2\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.028-quotative-8-divided-into-groups-of-2-solution-step-2.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<h3>Other possible representations and strategies:<\/h3>\n<p>Consider determining how many groups of +2 we can &#8220;<strong>remove<\/strong>&#8221; since division represents <strong>repeated subtraction<\/strong>. Once we find out how many groups of +2 we can remove, we can then express those groupings negatively to create negative values in the groups:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1068\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative quotative 8 divided into groups of -2 solution approach 2 step 1\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.044-quotative-8-divided-into-groups-of-2-solution-approach-2-step-1.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1067\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative quotative 8 divided into groups of -2 solution approach 2 step 2\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.052-quotative-8-divided-into-groups-of-2-solution-approach-2-step-2.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>We can also think about how many groups of -2 we can &#8220;add&#8221; to get to 0:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1066\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative quotative 8 divided into groups of -2 solution approach 3 step 1\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.069-quotative-8-divided-into-groups-of-2-solution-approach-3-step-1.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Since repeated addition is the opposite operation of repeated subtraction, we can then take those groups and &#8220;subtract&#8221; them by negating the groupings:<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1065\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative quotative 8 divided into groups of -2 solution approach 3 step 2\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.074-quotative-8-divided-into-groups-of-2-solution-approach-3-step-2.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<h2>Visual Prompt #3: Your Turn!<\/h2>\n<p>Pause the video and let the viewer apply their knowledge of <strong>positive number divided by a negative number<\/strong>\u00a0using<strong> partitive division<\/strong> in the following visual prompt:<\/p>\n<blockquote><p><em>10 \u00f7 (-5) = ___<\/em><\/p>\n<p>or<\/p>\n<p><em>10 divided into -5 groups gives a result of ___ per group<\/em><\/p><\/blockquote>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1064\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative partitive 10 divided into -5 groups prompt\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.081-partitive-10-divided-into-5-groups-prompt.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Allow time for the viewer to engage in the partitive division before showing the remainder of the video animation or the following still image.<\/p>\n<p>Again, we must note that we want to determine the value of the quantity that will be shared amongst 5 negatively charged groups or -5 groups.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1063\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative partitive 10 divided into -5 groups prompt solution step 1\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.085-partitive-10-divided-into-5-groups-prompt-solution-step-1.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>By fair sharing 10 across the -5 groups, we see that each group will contain 2 negatives or -2.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1062\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative partitive 10 divided into -5 groups prompt solution step 2\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.089-partitive-10-divided-into-5-groups-prompt-solution-step-2.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>How about approaching the same problem using <strong>quotative division<\/strong>:<\/p>\n<blockquote><p><em>10 \u00f7 (-5) = ___<\/em><\/p>\n<p>or<\/p>\n<p><em>10 divided into groups of -5 gives a result of ___ groups<\/em><\/p><\/blockquote>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1061\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative quotative 10 divided into groups of -5 prompt\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.093-quotative-10-divided-into-groups-of-5-prompt.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>By using our conceptual understanding built through the previous visual prompts, we can now recognize that since there are 0 groups of -5 we can create from the +10 given, we must use negatively charged groups.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1060\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative quotative 10 divided into groups of -5 prompt solution step 1\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.097-quotative-10-divided-into-groups-of-5-prompt-solution-step-1.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Since I can create 2 groups of +5, I know I can also represent those same two groups as -2 groups of -5.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-1059\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2-1024x576.jpeg\" alt=\"Integer Division - Positive Divided by Negative quotative 10 divided into groups of -5 prompt solution step 2\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.100-quotative-10-divided-into-groups-of-5-prompt-solution-step-2.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p>There you have it! Understanding integer division conceptually through concrete and visual representations. In my classroom, I&#8217;d have students using coloured tiles or linking cubes to physically manipulate the materials to fully conceptualize this very important idea that often is approached using only rules and procedures.<\/p>\n<p>Did you use this in your classroom or at home? How&#8217;d it go? Post in the comments!<\/p>\n<p>Thanks for sticking around!<\/p>\n<p>Math IS Visual. Let&#8217;s teach it that way.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this Math Is Visual video animation and visual prompts, we will explore negative divided by a positive integer division conceptually through concrete and visual representations! We will also tackle this from two approaches: quotative division and partitive division!<\/p>\n","protected":false},"author":1,"featured_media":1072,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"video","meta":{"footnotes":""},"categories":[23],"tags":[37,32,33,34,30,31],"series":[38,39,35],"class_list":["post-1054","post","type-post","status-publish","format-video","has-post-thumbnail","hentry","category-number","tag-division","tag-grade-7","tag-grade-8","tag-grade-9","tag-integers","tag-intermediate","post_format-post-format-video","series-division","series-integer-division","series-integers"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Visualizing Integer Division: Positive Number Divided By Negative Number<\/title>\n<meta name=\"description\" content=\"In this Math Is Visual video animation and visual prompts, we will explore negative divided by a positive integer division conceptually through concrete and visual representations! We will also tackle this from two approaches: quotative division and partitive division!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathisvisual.com\/integer-division-part3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Visualizing Integer Division: Positive Number Divided By Negative Number\" \/>\n<meta property=\"og:description\" content=\"In this Math Is Visual video animation and visual prompts, we will explore negative divided by a positive integer division conceptually through concrete and visual representations! We will also tackle this from two approaches: quotative division and partitive division!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathisvisual.com\/integer-division-part3\/\" \/>\n<meta property=\"og:site_name\" content=\"Math Is Visual\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/mathisvisual\" \/>\n<meta property=\"article:published_time\" content=\"2018-05-28T11:45:02+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution.jpeg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1080\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"kylepearce3\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@mathisvisual\" \/>\n<meta name=\"twitter:site\" content=\"@mathisvisual\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"kylepearce3\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathisvisual.com\/integer-division-part3\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathisvisual.com\/integer-division-part3\/\"},\"author\":{\"name\":\"kylepearce3\",\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e\"},\"headline\":\"Visualizing Integer Division: Positive Divided By a Negative\",\"datePublished\":\"2018-05-28T11:45:02+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathisvisual.com\/integer-division-part3\/\"},\"wordCount\":783,\"commentCount\":0,\"image\":{\"@id\":\"https:\/\/mathisvisual.com\/integer-division-part3\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution.jpeg\",\"keywords\":[\"division\",\"Grade 7\",\"Grade 8\",\"Grade 9\",\"Integers\",\"Intermediate\"],\"articleSection\":[\"Number Sense\"],\"inLanguage\":\"en-CA\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathisvisual.com\/integer-division-part3\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathisvisual.com\/integer-division-part3\/\",\"url\":\"https:\/\/mathisvisual.com\/integer-division-part3\/\",\"name\":\"Visualizing Integer Division: Positive Number Divided By Negative Number\",\"isPartOf\":{\"@id\":\"https:\/\/mathisvisual.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/mathisvisual.com\/integer-division-part3\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/mathisvisual.com\/integer-division-part3\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution.jpeg\",\"datePublished\":\"2018-05-28T11:45:02+00:00\",\"author\":{\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e\"},\"description\":\"In this Math Is Visual video animation and visual prompts, we will explore negative divided by a positive integer division conceptually through concrete and visual representations! We will also tackle this from two approaches: quotative division and partitive division!\",\"breadcrumb\":{\"@id\":\"https:\/\/mathisvisual.com\/integer-division-part3\/#breadcrumb\"},\"inLanguage\":\"en-CA\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathisvisual.com\/integer-division-part3\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-CA\",\"@id\":\"https:\/\/mathisvisual.com\/integer-division-part3\/#primaryimage\",\"url\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution.jpeg\",\"contentUrl\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution.jpeg\",\"width\":1920,\"height\":1080,\"caption\":\"Integer Division - Positive Divided by Negative partitive 8 divided into -2 groups prompt solution\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathisvisual.com\/integer-division-part3\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathisvisual.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Visualizing Integer Division: Positive Divided By a Negative\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathisvisual.com\/#website\",\"url\":\"https:\/\/mathisvisual.com\/\",\"name\":\"Math Is Visual\",\"description\":\"Let&#039;s teach it that way.\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathisvisual.com\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-CA\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e\",\"name\":\"kylepearce3\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-CA\",\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/793650925788278dc82a6c7461d8fa6fff2e7680c114f04295ad0479a8ca15c9?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/793650925788278dc82a6c7461d8fa6fff2e7680c114f04295ad0479a8ca15c9?s=96&d=mm&r=g\",\"caption\":\"kylepearce3\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Visualizing Integer Division: Positive Number Divided By Negative Number","description":"In this Math Is Visual video animation and visual prompts, we will explore negative divided by a positive integer division conceptually through concrete and visual representations! We will also tackle this from two approaches: quotative division and partitive division!","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathisvisual.com\/integer-division-part3\/","og_locale":"en_US","og_type":"article","og_title":"Visualizing Integer Division: Positive Number Divided By Negative Number","og_description":"In this Math Is Visual video animation and visual prompts, we will explore negative divided by a positive integer division conceptually through concrete and visual representations! We will also tackle this from two approaches: quotative division and partitive division!","og_url":"https:\/\/mathisvisual.com\/integer-division-part3\/","og_site_name":"Math Is Visual","article_publisher":"https:\/\/www.facebook.com\/mathisvisual","article_published_time":"2018-05-28T11:45:02+00:00","og_image":[{"width":1920,"height":1080,"url":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution.jpeg","type":"image\/jpeg"}],"author":"kylepearce3","twitter_card":"summary_large_image","twitter_creator":"@mathisvisual","twitter_site":"@mathisvisual","twitter_misc":{"Written by":"kylepearce3","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathisvisual.com\/integer-division-part3\/#article","isPartOf":{"@id":"https:\/\/mathisvisual.com\/integer-division-part3\/"},"author":{"name":"kylepearce3","@id":"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e"},"headline":"Visualizing Integer Division: Positive Divided By a Negative","datePublished":"2018-05-28T11:45:02+00:00","mainEntityOfPage":{"@id":"https:\/\/mathisvisual.com\/integer-division-part3\/"},"wordCount":783,"commentCount":0,"image":{"@id":"https:\/\/mathisvisual.com\/integer-division-part3\/#primaryimage"},"thumbnailUrl":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution.jpeg","keywords":["division","Grade 7","Grade 8","Grade 9","Integers","Intermediate"],"articleSection":["Number Sense"],"inLanguage":"en-CA","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathisvisual.com\/integer-division-part3\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathisvisual.com\/integer-division-part3\/","url":"https:\/\/mathisvisual.com\/integer-division-part3\/","name":"Visualizing Integer Division: Positive Number Divided By Negative Number","isPartOf":{"@id":"https:\/\/mathisvisual.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mathisvisual.com\/integer-division-part3\/#primaryimage"},"image":{"@id":"https:\/\/mathisvisual.com\/integer-division-part3\/#primaryimage"},"thumbnailUrl":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution.jpeg","datePublished":"2018-05-28T11:45:02+00:00","author":{"@id":"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e"},"description":"In this Math Is Visual video animation and visual prompts, we will explore negative divided by a positive integer division conceptually through concrete and visual representations! We will also tackle this from two approaches: quotative division and partitive division!","breadcrumb":{"@id":"https:\/\/mathisvisual.com\/integer-division-part3\/#breadcrumb"},"inLanguage":"en-CA","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathisvisual.com\/integer-division-part3\/"]}]},{"@type":"ImageObject","inLanguage":"en-CA","@id":"https:\/\/mathisvisual.com\/integer-division-part3\/#primaryimage","url":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution.jpeg","contentUrl":"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/05\/Integer-Division-Positive-Divided-by-Negative.006-partitive-8-divided-into-2-groups-prompt-solution.jpeg","width":1920,"height":1080,"caption":"Integer Division - Positive Divided by Negative partitive 8 divided into -2 groups prompt solution"},{"@type":"BreadcrumbList","@id":"https:\/\/mathisvisual.com\/integer-division-part3\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathisvisual.com\/"},{"@type":"ListItem","position":2,"name":"Visualizing Integer Division: Positive Divided By a Negative"}]},{"@type":"WebSite","@id":"https:\/\/mathisvisual.com\/#website","url":"https:\/\/mathisvisual.com\/","name":"Math Is Visual","description":"Let&#039;s teach it that way.","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathisvisual.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-CA"},{"@type":"Person","@id":"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e","name":"kylepearce3","image":{"@type":"ImageObject","inLanguage":"en-CA","@id":"https:\/\/mathisvisual.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/793650925788278dc82a6c7461d8fa6fff2e7680c114f04295ad0479a8ca15c9?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/793650925788278dc82a6c7461d8fa6fff2e7680c114f04295ad0479a8ca15c9?s=96&d=mm&r=g","caption":"kylepearce3"}}]}},"_links":{"self":[{"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/posts\/1054","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/comments?post=1054"}],"version-history":[{"count":5,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/posts\/1054\/revisions"}],"predecessor-version":[{"id":1057,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/posts\/1054\/revisions\/1057"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/media\/1072"}],"wp:attachment":[{"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/media?parent=1054"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/categories?post=1054"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/tags?post=1054"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/mathisvisual.com\/wp-json\/wp\/v2\/series?post=1054"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}