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Chapter 1: Q45. (page 16)

Identify the additive inverse and multiplicative inverse for each number

-0.125

Short Answer

Expert verified

Additive inverse of -0.125is0.125and multiplicative inverse of -0.125is localid="1647965937507" -8

Step by step solution

01

- Define additive inverse

Let 鈥榓鈥� be a real number such that

a+-a=0=-a+a

Then 鈥�-a鈥� is the additive inverse of 鈥榓鈥�

02

- Additive inverse of -0.125

Substitute -0.125 for a

a=-0.125

Multiply both sides by -1

鈭�1脳a=鈭�1脳鈭�0.125鈭�a=0.125

Thus additive inverse of -0.125is 0.125

03

- Define multiplicative inverse

Let 鈥榓鈥� be a real number witha=0 such that

a路1a=1=1a路a

Then 鈥�1a鈥� is the multiplicative inverse of 鈥榓鈥�

04

- Multiplicative inverse of -0.125

Substitute -0.125 for a

a=-0.125

Convert decimal form of rational number to fraction form

a=-18

Take reciprocal on both sides

1a=1鈭�181a=鈭�8

Thus multiplicative inverse of -0.125is -8

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Most popular questions from this chapter

Evaluate each expression

59.9

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