{"id":839,"date":"2018-01-10T21:33:17","date_gmt":"2018-01-11T02:33:17","guid":{"rendered":"https:\/\/mathisvisual.com\/?p=839"},"modified":"2018-05-21T06:48:16","modified_gmt":"2018-05-21T11:48:16","slug":"integer-subtraction-symbolic","status":"publish","type":"post","link":"https:\/\/mathisvisual.com\/integer-subtraction-symbolic\/","title":{"rendered":"Integer Subtraction Using Number Lines and Symbolic Notation"},"content":{"rendered":"<p><iframe loading=\"lazy\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/EEmPN2qYfK4?wmode=transparent&amp;rel=0&amp;feature=oembed\" frameborder=\"0\" allow=\"autoplay; encrypted-media\" allowfullscreen><\/iframe><\/p>\n<p>Until the <a href=\"https:\/\/mathisvisual.com\/integer-addition-symbolic\/\">previous post on integer addition<\/a>, we have primarily used colour to differentiate between <strong>positive<\/strong> and <strong>negative<\/strong> values. In the last video of the <strong>adding and subtracting integers<\/strong> series, we continue using the symbolic notation used to represent <strong>negative integers<\/strong>.<\/p>\n<p>The video shown at the top of the post has the entire <strong>visual progression of integer addition using symbolic notation<\/strong>.<\/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<h2>Visual Prompts:\u00a0Question 1, Act 1<\/h2>\n<p>Watch the first 40 seconds of\u00a0<a href=\"https:\/\/youtu.be\/EEmPN2qYfK4\">the video<\/a>\u00a0above before pausing and prompting your students or children to share their thinking for the following:<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-841\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4-1024x576.jpeg\" alt=\"Integer Subtraction Using a Number Line and Symbolic Notation 01 - Q2 neg7 minus neg4\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-01-Q2-neg7-minus-neg4.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>The goal is for students to begin making the connection between the black squares representing positive quantities and the red squares representing negative quantities. It should be noted that students can pick whatever colour they would like to represent positive and negative as long as they define them.<\/p>\n<p>Since students should have already used the previous integer videos in this series, we hope that children can now see that the symbolic expression -7 &#8211; (-4) is the same as &#8220;7 red squares take away 4 red squares&#8221;.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-842\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line-1024x576.jpeg\" alt=\"Integer Subtraction Using a Number Line and Symbolic Notation 02 - Q2 neg7 minus neg4 on number line\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-02-Q2-neg7-minus-neg4-on-number-line.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>By laying the 7 red squares on the number line, students can visually subtract 4 red squares and see that there are 3 red squares or -3 remaining.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-843\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3-1024x576.jpeg\" alt=\"Integer Subtraction Using a Number Line and Symbolic Notation 03 - Q2 neg7 minus neg4 equals neg3\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-03-Q2-neg7-minus-neg4-equals-neg3.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Then, students are asked to determine the result of 5 &#8211; (-4).<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-844\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4-1024x576.jpeg\" alt=\"Integer Subtraction Using a Number Line and Symbolic Notation 04 - Q3 5 minus neg4\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-04-Q3-5-minus-neg4.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>Since students have had the experience in previous posts to know that 5 &#8211; (-4) really means &#8220;5 black squares take away 4 red squares&#8221; and there are no red squares to remove, we must apply the zero principle to add 4 red squares and 4 black squares.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-845\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4-1024x576.jpeg\" alt=\"Integer Subtraction Using a Number Line and Symbolic Notation 05 - Q3 5 minus neg4 plus 4 plus neg4\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-05-Q3-5-minus-neg4-plus-4-plus-neg4.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>Now students can take away the -4 or the 4 red squares to leave us with a total of 9 black squares:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-846\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4-1024x576.jpeg\" alt=\"Integer Subtraction Using a Number Line and Symbolic Notation 06 - Q3 5 minus neg4 after taking away neg4\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-06-Q3-5-minus-neg4-after-taking-away-neg4.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>We can either count them up by using <a href=\"https:\/\/mathisvisual.com\/one-to-one-correspondence\/\">one-to-one correspondence<\/a> or we can organize them on the number line to quickly see that the result is 9.<\/p>\n<p>&nbsp;<\/p>\n<p>The last visual prompt in the video asks students to compute -6 &#8211; 1. We can interpret this expression as 6 negative (red) squares subtract 1 positive (black) square.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-848\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1-1024x576.jpeg\" alt=\"Integer Subtraction Using a Number Line and Symbolic Notation 08 - Q4 neg6 minus 1\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-08-Q4-neg6-minus-1.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>In the last question, we didn&#8217;t have any negative squares (red squares) to take away. This time, we don&#8217;t have any positive squares (or black squares) to take away.\u00a0Again, we must apply the zero principle by adding a zero pair. Since 1 + (-1) = 0, or in other words putting a black square and a red square makes them disappear, we have not changed the expression by doing this.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-849\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1-1024x576.jpeg\" alt=\"Integer Subtraction Using a Number Line and Symbolic Notation 09 - Q4 neg6 minus 1 plus 1 plus neg1\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-09-Q4-neg6-minus-1-plus-1-plus-neg1.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>We can now go ahead and subtract the positive (black) square and we are left with -7 or 7 red squares.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-851\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7-1024x576.jpeg\" alt=\"Integer Subtraction Using a Number Line and Symbolic Notation 11 - Q4 neg6 minus 1 equals neg7\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-11-Q4-neg6-minus-1-equals-neg7.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>Something interesting about expressions involving integers is how we can interpret them. By looking at the spacing in the question above, it would appear that we have -6 subtract 1 (or -6 subtract +1). However, we could also arrive at the same result by thinking of that same expression as -6 + (-1) because positive and negative values are intrinsically related just as adding and subtracting are opposite operations.<\/p>\n<p>Let&#8217;s take a closer look:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-852\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1-1024x576.jpeg\" alt=\"Integer Subtraction Using a Number Line and Symbolic Notation 12 - Q4 neg6 minus 1 same as neg6 plus neg1\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-12-Q4-neg6-minus-1-same-as-neg6-plus-neg1.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>By simply adding -1 instead of subtracting +1, we avoid having to use the zero principle. The inverse relationship of positive and negative values has got us covered!<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-853\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added-1024x576.jpeg\" alt=\"Integer Subtraction Using a Number Line and Symbolic Notation 13 - Q4 neg6 minus 1 same as neg6 plus neg1 show neg1 added\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-13-Q4-neg6-minus-1-same-as-neg6-plus-neg1-show-neg1-added.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>We still end up at the same result:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-854\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7-1024x576.jpeg\" alt=\"Integer Subtraction Using a Number Line and Symbolic Notation 14 - Q4 neg6 minus 1 same as neg6 plus neg1 equals neg7\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2018\/01\/Integer-Subtraction-Using-a-Number-Line-and-Symbolic-Notation-14-Q4-neg6-minus-1-same-as-neg6-plus-neg1-equals-neg7.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>Pretty neat, eh?<\/p>\n<p>Let me know in the comments how you used this activity!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let&#8217;s continue exploring integer subtraction, but this time we will progress from using colour alone to represent the opposite signs of positive and negative values and explicitly write out these expressions and equations mathematically!<\/p>\n","protected":false},"author":1,"featured_media":844,"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-839","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>Integer Subtraction Using Number Lines and Symbolic Notation<\/title>\n<meta name=\"description\" content=\"Let&#039;s continue exploring integer subtraction, but let&#039;s progress from using colour alone to represent the opposite signs of positive and negatives!\" \/>\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-symbolic\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Integer Subtraction Using Number Lines and Symbolic Notation\" \/>\n<meta property=\"og:description\" content=\"Let&#039;s continue exploring integer subtraction, but let&#039;s progress from using colour alone to represent the opposite signs of positive and negatives!\" 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