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

Short Answer

Expert verified

The additive inverse of a number is a number which is added to a particular number to make the sum equal to zero, whereas the multiplicative inverse of a number is a number which is the reciprocal of a particular number, when it multiplied with some number to make the product equal to 1.

Step by step solution

01

Step 1. Additive inverse

The additive inverse of a number is a number, when it is added to a particular number to make the sum equal to zero.

02

Step 2. Multiplicative inverse

The multiplicative inverse of a number is a number which is the reciprocal of a number, when it multiplied with a number to make the product equal to 1.

03

Step 3. Final answer

The additive inverse of a number is a number which is added to a particular number to make the sum equal to 0, whereas the multiplicative inverse of a number is a number which is the reciprocal of a particular number, when it multiplied with some number to make the product equal to 1.

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