. Vocabulary How do you find the multiplicative inverse of
a number? Give an example of a number and its multiplicative
inverse.

Question

13-09-2022
Mathematics

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. Vocabulary How do you find the multiplicative inverse of
a number? Give an example of a number and its multiplicative
inverse.

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rafikiedu15 rafikiedu15 · Answer 1 · 2022-09-18T12:32:11+02:00

The multiplicative inverse of a number is a number that when multiplied by the original number gives the product as 1. The multiplicative inverse of 'a' is denoted by a-1 or 1/a. In other words, when the product of two numbers is 1, they are said to be multiplicative inverses of each other. The multiplicative inverse of a number is defined as the division of 1 by that number. It is also called the reciprocal of the number. The multiplicative inverse formula says that the product of a number and its reciprocal is 1.

There are various types of numbers like natural numbers, fractions, unit fractions, negative numbers, etc. Let us understand the multiplicative inverse formula for each type of number.

Natural numbers are counting numbers starting from 1. The multiplicative inverse of a natural number a is 1/a.

Multiplicative Inverse of Integers

Finding the multiplicative inverse of positive integers is the same as natural numbers (explained above). Just like positive integers, the product of a negative number and its reciprocal must be equal to 1. Thus, the multiplicative inverse of any negative number is its reciprocal. For example, (-6) × (-1/6) = 1, therefore, the multiplicative inverse of -6 is -1/6. Note that the multiplicative inverse of a negative number is always negative. And, in the multiplicative inverse of a negative integer, the negative sign will attach to the numerator, and not with the denominator.

How to Find Multiplicative Inverse of a number :

The multiplicative inverse of a number is also known as its reciprocal. It is very easy to find the multiplicative inverse of a number using the following steps:

Step 1: Divide the given number by 1.

Step 2: Write it in the form of a fraction. Say, the reciprocal of a is 1/a.

Step 3: Simplify and get the answer.

Let us find the multiplicative inverse of 2/3. The first step is to divide it by 1, which will result in 1/(2/3) = 3/2. Therefore, the reciprocal of 2/3 is 3/2.

learn more about multiplicative inverse of

a number here : brainly.com/question/13663199

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. Vocabulary How do you find the multiplicative inverse of a number? Give an example of a number and its multiplicative inverse.

Respuesta :

Otras preguntas

. Vocabulary How do you find the multiplicative inverse of
a number? Give an example of a number and its multiplicative
inverse.