{"id":741,"date":"2017-12-21T22:29:45","date_gmt":"2017-12-22T03:29:45","guid":{"rendered":"https:\/\/mathisvisual.com\/?p=741"},"modified":"2018-05-21T06:49:18","modified_gmt":"2018-05-21T11:49:18","slug":"integer-subtraction-3","status":"publish","type":"post","link":"https:\/\/mathisvisual.com\/integer-subtraction-3\/","title":{"rendered":"Subtracting Positive and Negative Integers &#8211; Part 3"},"content":{"rendered":"<p><iframe loading=\"lazy\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/MsBatHLOCbk?wmode=transparent&amp;rel=0&amp;feature=oembed\" frameborder=\"0\" gesture=\"media\" allow=\"encrypted-media\" allowfullscreen><\/iframe><\/p>\n<p>In this visualization video, we re-introduce the <strong>zero principle<\/strong>\u00a0to subtracting positive and negative <strong>integers<\/strong>.<\/p>\n<p>By showing black and red squares combining and disappearing as well as black and red squares re-appearing in an attempt to show that we can add more squares of one colour as long as we add the same amount of the other colour as well.<\/p>\n<p>Following the introductory revisiting of the zero principle, we introduce the problem:<\/p>\n<blockquote><p>7 black squares take away 2 red squares<\/p><\/blockquote>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-748\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers - Part 3 - 01 - 7 black minus 2 red Introduction\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-01-7-black-minus-2-red-Introduction.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>As you can imagine, this is problematic for students as there are no red squares to take away!<\/p>\n<p>What must we do?<\/p>\n<p>If we recall the introduction showing that a black and red square can combine to disappear and also can &#8220;re-appear&#8221; when we want them to, we could simply add 2 red squares (so we can take them away) and 2 black squares.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-747\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers - Part 3 - 02 - 7 black minus 2 red With Words\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-02-7-black-minus-2-red-With-Words.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>Now, we replace the words with the math symbolic representation as well as re-arrange the squares to look a bit more &#8220;pretty&#8221; and easier to subitize:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-746\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers - Part 3 - 03 - 7 black minus 2 red Symbolically\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-03-7-black-minus-2-red-Symbolically.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<h2>Math Is Visual Prompts<\/h2>\n<p>Students are then given the following <strong>symbolically<\/strong> to represent concretely and then symbolically, on their own:<\/p>\n<blockquote><p>6 black &#8211; 4 red = ?<\/p><\/blockquote>\n<p>Check out the <a href=\"https:\/\/youtu.be\/EjnTbNt1RL0\">animated video here<\/a>:<\/p>\n<p><iframe loading=\"lazy\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/EjnTbNt1RL0?wmode=transparent&amp;rel=0&amp;feature=oembed\" frameborder=\"0\" gesture=\"media\" allow=\"encrypted-media\" allowfullscreen><\/iframe><\/p>\n<p>You can also consider using the following visual prompt images below:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-745\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers - Part 3 - 04 - 6 black minus 4 red intro\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-04-6-black-minus-4-red-intro.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>It might be worth reviewing the <a href=\"https:\/\/youtu.be\/MsBatHLOCbk\">initial video<\/a> to ensure that students are picking up on the &#8220;rules&#8221; of the zero principle. Here is the initial video again, to avoid having to scroll up:<\/p>\n<p><iframe loading=\"lazy\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/MsBatHLOCbk?wmode=transparent&amp;rel=0&amp;feature=oembed\" frameborder=\"0\" gesture=\"media\" allow=\"encrypted-media\" allowfullscreen><\/iframe><\/p>\n<p><iframe loading=\"lazy\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/MsBatHLOCbk?wmode=transparent&amp;rel=0&amp;feature=oembed\" frameborder=\"0\" gesture=\"media\" allow=\"encrypted-media\" allowfullscreen><\/iframe><\/p>\n<p>Hopefully, students will recognize that by using the zero principle, we can make 4 red squares appear as long as we also make 4 black squares appear.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-744\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers - Part 3 - 05 - 6 black minus 4 red using zero principle\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-05-6-black-minus-4-red-using-zero-principle.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>Then, students can &#8220;take away&#8221; or subtract the 4 red squares and will be left with 10 black.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-743\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers - Part 3 - 06 - 6 black minus 4 red simplified\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-06-6-black-minus-4-red-simplified.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>Rearranging the squares might make conceptually subitizing the total a bit easier.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-742\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely-1024x576.jpeg\" alt=\"Subtracting Positive and Negative Integers - Part 3 - 07 - 6 black minus 4 red rearranged concretely\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Subtracting-Positive-and-Negative-Integers-Part-3-07-6-black-minus-4-red-rearranged-concretely.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>Hope you and your students enjoy this exploration.<\/p>\n<p>Math is visual. Let&#8217;s teach it that way!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this visualization video, we re-introduce the zero principle\u00a0to subtracting positive and negative integers. By showing black and red squares combining and disappearing as well as black and red squares re-appearing in an attempt to show that we can add more squares of one colour as long as we add the same amount of the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":748,"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-741","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 - Part 3 - 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-3\/\" \/>\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 - Part 3 - Math Is Visual\" \/>\n<meta property=\"og:description\" content=\"In this visualization video, we re-introduce the zero principle\u00a0to subtracting positive and negative integers. 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