Draw a number line showing the sum (−7) + (+9) = (+2) and its inverse operation.

Question

ScanSolve AI Tutor · Accepted Answer

Here's how to represent the sum and its inverse operation on a number line: a) Draw a number line showing the following sum: (−7) + (+9) = (+2) Step 1: Draw a number line with 0 in the center and markings for positive and negative integers. Step 2: Start at 0. To represent (−7), draw an arrow from 0 moving 7 units to the left, ending at −7. Step 3: From −7, to represent (+9), draw another arrow moving 9 units to the right. Step 4: This second arrow will end at +2. The final position, +2, is the result of the sum. b) Draw a number line to show the inverse operation of the sum above. The original sum is (−7) + (+9) = (+2). An inverse operation would undo this sum. One way to show this is to start from the result (+2) and subtract one of the numbers to get back to the other. Let's show (+2) − (+9) = (−7). Step 1: Draw a number line with 0 in the center and markings for positive and negative integers. Step 2: Start at 0. To represent (+2), draw an arrow from 0 moving 2 units to the right, ending at +2. Step 3: From +2, to represent subtracting (+9), draw another arrow moving 9 units to the left (because subtracting a positive number is equivalent to moving left). Step 4: This second arrow will end at −7. The final position, −7, is the result of the inverse operation.

Draw a number line showing the sum (-7) + (+9) = (+2) and its inverse operation.

Step-by-step solution

Part a· 4 steps

Draw a number line with 0 in the center and markings for positive and negative integers.

Start at 0.

From $-7$ , to represent $(+9)$ , draw another arrow moving 9 units to the right.

This second arrow will end at $+2$ .

Part b· 4 steps

Draw a number line with 0 in the center and markings for positive and negative integers.

Start at 0.

From $+2$ , to represent subtracting $(+9)$ , draw another arrow moving 9 units to the left (because subtracting a positive number is equivalent to moving left).

This second arrow will end at $-7$ .

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Draw a number line showing the sum (-7) + (+9) = (+2) and its inverse operation.

Step-by-step solution

Part a· 4 steps

Draw a number line with 0 in the center and markings for positive and negative integers.

Start at 0.

From −7-7−7, to represent (+9)(+9)(+9), draw another arrow moving 9 units to the right.

This second arrow will end at +2+2+2.

Part b· 4 steps

Draw a number line with 0 in the center and markings for positive and negative integers.

Start at 0.

From +2+2+2, to represent subtracting (+9)(+9)(+9), draw another arrow moving 9 units to the left (because subtracting a positive number is equivalent to moving left).

This second arrow will end at −7-7−7.

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From $-7$ , to represent $(+9)$ , draw another arrow moving 9 units to the right.

This second arrow will end at $+2$ .

From $+2$ , to represent subtracting $(+9)$ , draw another arrow moving 9 units to the left (because subtracting a positive number is equivalent to moving left).

This second arrow will end at $-7$ .