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91Ó°ÊÓ

In the following exercise, simplify each expressions.

(a) 13-7

(b) role="math" localid="1644741992011" -13--7

(c) -13-7

(d)13--7

Short Answer

Expert verified

Part (a) The simplified value is 6.

Part (b) The simplified value is -6.

Part (c) The simplified value is -20.

Part (d) The simplified value is 20.

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 the opposite of 7 to 13.

13-7=13+-7=6

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 13 with the opposite of the opposite of 7.

-13--7=-13+7=-6

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.

Add the opposite of 7 with the opposite of 13.

-13-7=-20

07

Part (d) 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

08

Part (d) Step 2. Calculation. 

Add 13 with the opposite of the opposite of 7.

13--7=13+7=20

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