In the following exercise, simplify each expression.

  1. -5+-9
  2. -5+9
  3. 5+-9

Short Answer

Expert verified

Part (a) The simplified value is -14.

Part (b) The simplified value is 4.

Part (c) The simplified value is -4.

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 -5to -9.

-5+-9=-5-9=14

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 5 to 9 that is subtract 5 from 9.

-5+9=4

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 9 from 5.

5+-9=5-9=-4

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