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Chapter 1: Q 139. (page 39)

Explain why the sum of −8 and 2 is negative, but the sum of 8 and −2 is positive.

Short Answer

Expert verified

The sign depends on the greater number sign.

Step by step solution

01

Step 1. Explain the first result -8+2=-6.

Consider the given information.

  • Since the value of the sum of a positive number and a negative number is the difference of the number.
  • The sign of the sum is the sign of the bigger number.

As 8 is greater than 2. So, in the sum of -8 and 2, the sign will be negative.

-8+2=-8+2=-6

02

Step 2. Explain the second result.

Refer to the concept explained in step 1.

As 8 is greater than 2. So, sign in the sum of 8 and 2, the sign will be postive.

8+-2=8-2=6

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