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Chapter 1: Q 263. (page 62)

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

Short Answer

Expert verified

The sum of -8and 2is negative because negative value -8has higher magnitude than 2.

The sum of 8and -2is positive because positive value8has higher magnitude.

Step by step solution

01

Step 1. Given Information

It is asked to explain why sum of -8and 2is negative and sum of8and-2is positive.

02

Step 2. Explaining the reasons for negative and positive sum

(1)

The sum of -8and 2can be written as (-8)+2

Simplify

=(-8)+2=-(8-2)=-6

Since negative value -8has larger magnitude value. So, the sum will always be the same as a sign of a higher magnitude number.

(2)

The sum of 8and -2can be written as 8+(-2)

Simplify

=8+(-2)=8-2=6

Since positive value 8has a larger magnitude value. So, the sum will always be the same as a sign of a higher magnitude number.

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Most popular questions from this chapter

Translate the English phrase into an algebraic expression:

(a) the sum of 17y2 and 19

(b) the product of 7 and y.

In the following exercise, multiply:-1(-19)

In the following exercise, simplify the expression:65梅(-5)+(-28)梅(-7)

Translation from Algebra to English.

14<21

Translate Algebra to English.

(2)(7)
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