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Chapter 1: Q. 822 (page 163)

What is the difference between the additive inverse and the multiplicative inverse of a number?

Short Answer

Expert verified

For any real number a,鈭�ais the additive inverse of a. A number and its opposite add to zero.

a+(鈭�a)=0

For any real number a ,1 a is the multiplicative inverse of a . A number and its reciprocal multiply to one.

a路1a=1

Step by step solution

01

Given information

What is the difference between the additive inverse and the multiplicative inverse of a number?

02

Explanation

For any real number a,鈭�ais the additive inverse ofa . A number and its opposite add to zero.

a+(鈭�a)=0

For any real number a,1a is the multiplicative inverse of a. A number and its reciprocal multiply to one.

a路1a=1

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