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Chapter 1: Q. 71 (page 37)

In the following exercise, simplify each expression.

(a)-7+-4

(b)-7+4

(c)7+-4

Short Answer

Expert verified

Part (a) The simplified value is -11.

Part (b) The simplified value is -3.

Part (c) The simplified value is 3.

Step by step solution

01

Part (a) Step 1. Concept Used.

According to subtraction property, the subtraction of a number is equal to the addition of its opposite. This can be expressed as follows.

a-b=a+-b

02

Part (a) Step 2. Calculation.

Add -4to -7.

-7+-4=-7-4=-11

03

Part (b) Step 1. Concept Used.

According to subtraction property, the subtraction of a number is equal to the addition of its opposite. This can be expressed as follows.

a-b=a+-b

04

Part (b) Step 2. Calculation. 

Add the opposite of 7 to 4 that is subtract 7 from 4.

-7+4=-3

05

Part (c) Step 1. Concept Used.

According to subtraction property, the subtraction of a number is equal to the addition of its opposite. This can be expressed as follows.

a-b=a+-b

06

Part (c) Step 2. Calculation.

Subtract 4 from 7.

7+-4=7-4=3

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