Three numbers are plotted on a number line, as shown.

![](http://admin.getprephub.com/media/editor/u4_20230329203812264412.png)

For each expression, choose the correct table to identify whether the value of the expression is to the left or to the right of $$m$$ on the number line.

![](http://admin.getprephub.com/media/editor/u4s_20230329203839689750.png)

<div id="displayOption0" class="markdown-body editormd-html-preview"><textarea>![](http://admin.getprephub.com/media/editor/u4sss_20230329203914840987.png)</textarea><img src="http://admin.getprephub.com/media/editor/u4sss_20230329203914840987.png" alt="">
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<div id="displayOption1" class="markdown-body editormd-html-preview"><textarea>![](http://admin.getprephub.com/media/editor/u4ssss_20230329203943348656.png)</textarea><img src="http://admin.getprephub.com/media/editor/u4ssss_20230329203943348656.png" alt="">
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<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>Three numbers are plotted on a number line, as shown.

![](http://admin.getprephub.com/media/editor/u4_20230329203812264412.png)

For each expression, choose the correct table to identify whether the value of the expression is to the left or to the right of $$m$$ on the number line.

![](http://admin.getprephub.com/media/editor/u4s_20230329203839689750.png)</textarea>Three numbers are plotted on a number line, as shown.
<img src="http://admin.getprephub.com/media/editor/u4_20230329203812264412.png" alt="">
For each expression, choose the correct table to identify whether the value of the expression is to the left or to the right of <math><semantics><mrow><mi>m</mi></mrow><annotation encoding="application/x-tex">m</annotation></semantics></math>m on the number line.
<img src="http://admin.getprephub.com/media/editor/u4s_20230329203839689750.png" alt="">
</div>

<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>According to the number line given,

Let, $${p}=-5, {~m}=-3, {n}=2$$

Then , $$m+n=-3+2=-1$$, (right to $$m$$ )

$$m-n=-3-2=-5$$ (left of $$m$$ )

$$m+p=-3-5=-8$$ (left to $$m$$ )

$$m-p=-3-(-5)=-3+5=2$$ (right to $$m$$ )

The correct table is

![](http://admin.getprephub.com/media/editor/u4ss_20230329203856761083.png)</textarea>According to the number line given,
Let, <math><semantics><mrow><mrow><mi>p</mi></mrow><mo>=</mo><mo>−</mo><mn>5</mn><mo separator="true">,</mo><mrow><mtext>&nbsp;</mtext><mi>m</mi></mrow><mo>=</mo><mo>−</mo><mn>3</mn><mo separator="true">,</mo><mrow><mi>n</mi></mrow><mo>=</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">{p}=-5, {~m}=-3, {n}=2</annotation></semantics></math>p=−5,&nbsp;m=−3,n=2
Then , <math><semantics><mrow><mi>m</mi><mo>+</mo><mi>n</mi><mo>=</mo><mo>−</mo><mn>3</mn><mo>+</mo><mn>2</mn><mo>=</mo><mo>−</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">m+n=-3+2=-1</annotation></semantics></math>m+n=−3+2=−1, (right to <math><semantics><mrow><mi>m</mi></mrow><annotation encoding="application/x-tex">m</annotation></semantics></math>m )
<math><semantics><mrow><mi>m</mi><mo>−</mo><mi>n</mi><mo>=</mo><mo>−</mo><mn>3</mn><mo>−</mo><mn>2</mn><mo>=</mo><mo>−</mo><mn>5</mn></mrow><annotation encoding="application/x-tex">m-n=-3-2=-5</annotation></semantics></math>m−n=−3−2=−5 (left of <math><semantics><mrow><mi>m</mi></mrow><annotation encoding="application/x-tex">m</annotation></semantics></math>m )
<math><semantics><mrow><mi>m</mi><mo>+</mo><mi>p</mi><mo>=</mo><mo>−</mo><mn>3</mn><mo>−</mo><mn>5</mn><mo>=</mo><mo>−</mo><mn>8</mn></mrow><annotation encoding="application/x-tex">m+p=-3-5=-8</annotation></semantics></math>m+p=−3−5=−8 (left to <math><semantics><mrow><mi>m</mi></mrow><annotation encoding="application/x-tex">m</annotation></semantics></math>m )
<math><semantics><mrow><mi>m</mi><mo>−</mo><mi>p</mi><mo>=</mo><mo>−</mo><mn>3</mn><mo>−</mo><mo>(</mo><mo>−</mo><mn>5</mn><mo>)</mo><mo>=</mo><mo>−</mo><mn>3</mn><mo>+</mo><mn>5</mn><mo>=</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">m-p=-3-(-5)=-3+5=2</annotation></semantics></math>m−p=−3−(−5)=−3+5=2 (right to <math><semantics><mrow><mi>m</mi></mrow><annotation encoding="application/x-tex">m</annotation></semantics></math>m )
The correct table is
<img src="http://admin.getprephub.com/media/editor/u4ss_20230329203856761083.png" alt="">
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