Problem 6

Explain how to find the opposite of the number that is 2 units less than \(-17\) on the number line. Justify your answer on the number line. cant copy graph

Short Answer

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The opposite of the number that is 2 units less than \(-17\) on the number line can be found by first identifying the number 2 units less than \(-17\), which is \(-19\). The opposite of this number is \(-(-19)\), which equals \(19\). The position of \(19\) on the number line, at an equal distance from \(0\) as \(-19\) but on the opposite side, verifies that it is indeed the opposite of the number that is 2 units less than \(-17\).

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Step by step solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Find the number 2 units less than -17 on the number line.

To do this, we will move 2 units to the left on the number line from the point -17. Mathematically, this can be represented as: \[-17 + (-2) = -19\]. So, the number that is 2 units less than -17 on the number line is -19.

Step 2: Find the opposite of -19 on the number line.

The opposite of any number 'x' on the number line is represented as '-x'. In this case, the opposite of -19 is -(-19), which is equal to 19. Therefore, the opposite of the number that is 2 units less than -17 on the number line is 19.

Step 3: Justify the position of 19 on the number line.

Let's visualize the positions of -17, -19, and 19 on the number line. Since 19 is the opposite of -19, it is positioned at the same distance from 0 as -19, but on the opposite side. Remember that -17 is to the left of 0, -19 is further left of -17, and 19 is to the right of 0. The position of 19 on the number line verifies that it is indeed the opposite of -19. To conclude, the opposite of the number that is 2 units less than -17 on the number line is 19, as demonstrated by its position on the number line.

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Chapter 7: Chapter 7

Explain how to find the opposite of the number that is 2 units less than \(-17\) on the number line. Justify your answer on the number line. cant copy graph

Short Answer

Step by step solution

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Step 1: Find the number 2 units less than -17 on the number line.

Step 2: Find the opposite of -19 on the number line.

Step 3: Justify the position of 19 on the number line.

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More chapters from the book ‘Spectrum Critical Thinking for Math, Grade 6’

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