{"id":715,"date":"2017-12-18T23:16:35","date_gmt":"2017-12-19T04:16:35","guid":{"rendered":"https:\/\/mathisvisual.com\/?p=715"},"modified":"2018-05-21T06:49:33","modified_gmt":"2018-05-21T11:49:33","slug":"integer-subtraction","status":"publish","type":"post","link":"https:\/\/mathisvisual.com\/integer-subtraction\/","title":{"rendered":"Subtracting Positive and Negative Integers"},"content":{"rendered":"<p><iframe loading=\"lazy\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/MW3GDLW8WTM?wmode=transparent&amp;rel=0&amp;feature=oembed\" frameborder=\"0\" allow=\"autoplay; encrypted-media\" allowfullscreen><\/iframe><\/p>\n<p>In this video, we introduce the idea of subtracting integers by using simple subtraction of a positive by a positive (black squares) and negative subtracting a negative (red squares). We then offer a notice and wonder situation when we give black squares, followed by the introduction of a black and red (the zero principle).<\/p>\n<p>Viewing the previous two posts would be useful for students to have the full understanding of the zero principle. Access them <a href=\"https:\/\/mathisvisual.com\/integer-addition\/\">here<\/a> and <a href=\"https:\/\/mathisvisual.com\/integer-addition-2\/\">here<\/a>.<\/p>\n<p>Once students watch the introductory video above, show them this video:<\/p>\n<p><iframe loading=\"lazy\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/fTEUan3Mtr8?wmode=transparent&amp;rel=0&amp;feature=oembed\" frameborder=\"0\" allow=\"autoplay; encrypted-media\" allowfullscreen><\/iframe><\/p>\n<p>Here, we try to do the opposite of what was happening in the previous two posts. Instead of combining a red and a black and having them disappear, we are having a red and black appear before subtracting one of the two colours.<\/p>\n<p>Still not sure what is going on here? No problem! Check out the visual prompts below&#8230;<\/p>\n<p>Use the following visual prompts to help students to conceptualize the addition and subtraction of\u00a0<strong>integers<\/strong>.<\/p>\n<p>Math is visual. Let&#8217;s teach it that way!<\/p>\n<h2>Math Is Visual Prompts<\/h2>\n<p>Feel free to use the video and pause in-between ideas or alternatively, use the following visual prompts.<\/p>\n<h4>Visual #1 Prompts<\/h4>\n<p>Show the following image:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-716\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers Visual Prompts 01 - 8 - 3\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-01-8-3.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>You may consider working only with the visual prior to introducing the numerical symbols included in the visual below:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-876\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers 1a - 8 black minus 3 black\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1a-8-black-minus-3-black.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>After giving students some time to determine how many squares will remain and what colour they will be, you can show them the visual that matches this scenario.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-903\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers 1b - 8 black minus 3 black equals 5 black v2\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-1b-8-black-minus-3-black-equals-5-black-v2.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<h4>Visual #2 Prompts<\/h4>\n<p>Show the following image:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-719\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers Visual Prompts 04 -9 - -2\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts-04-9-2.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>After students use square tiles and come to their conclusion, have them write out their thinking using a numerical expression.<\/p>\n<p>Then, show them this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-878\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers 2a - 9 red minus 2 red\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2a-9-red-minus-2-red.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>And finally, a simplified version:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-904\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers 2b - 9 red minus 2 red equals 7 red v2\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-2b-9-red-minus-2-red-equals-7-red-v2.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<h4>Visual #3 Prompts<\/h4>\n<p>Show the following image:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-722\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers Visual Prompts.007\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.007.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>After students use square tiles and come to their conclusion, have them write out their thinking using a numerical expression.<\/p>\n<p>Then, show them this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-880\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers 3a - 9 black minus 2 red\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3a-9-black-minus-2-red.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>And finally, visuals for the simplification:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-881\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers 3b - 9 black minus 2 red plus 2 black plus 2 red\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3b-9-black-minus-2-red-plus-2-black-plus-2-red.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-900\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers 3c - 9 black minus 2 red equals 11 black 2\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-3c-9-black-minus-2-red-equals-11-black-2.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<h4>Visual #4 Prompts<\/h4>\n<p>Show the following image:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-732\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers Visual Prompts.017\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Visual-Prompts.017.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>After students use square tiles and come to their conclusion, have them write out their thinking using a numerical expression.<\/p>\n<p>Then, show them this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-886\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers 5a - 7 red minus 3 black\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5a-7-red-minus-3-black.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>And finally, a simplified version:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-887\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers 5b - 7 red minus 3 black plus 3 black plus 3 red\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5b-7-red-minus-3-black-plus-3-black-plus-3-red.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-905\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers 5c - 7 red minus 3 black equals 10 red v2\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-5c-7-red-minus-3-black-equals-10-red-v2.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this video, we introduce the idea of subtracting integers by using simple subtraction of a positive by a positive (black squares) and negative subtracting a negative (red squares). We then offer a notice and wonder situation when we give black squares, followed by the introduction of a black and red (the zero principle). Viewing [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":727,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"video","meta":{"footnotes":""},"categories":[23],"tags":[32,33,34,30,31],"series":[43,35,42],"class_list":["post-715","post","type-post","status-publish","format-video","has-post-thumbnail","hentry","category-number","tag-grade-7","tag-grade-8","tag-grade-9","tag-integers","tag-intermediate","post_format-post-format-video","series-integer-subtraction","series-integers","series-subtraction"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Subtracting Positive and Negative Integers - Math Is Visual<\/title>\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-subtraction\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Subtracting Positive and Negative Integers - Math Is Visual\" \/>\n<meta property=\"og:description\" content=\"In this video, we introduce the idea of subtracting integers by using simple subtraction of a positive by a positive (black squares) and negative subtracting a negative (red squares). 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