Question

what is the product of rational number 5 by 7 and its multiplicative inverse​

Answer 1

Answer:

5/7  *  7/5

=>  35/35

=>   1

Answer 2

Answer:

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Questions & Answers

CBSE

Mathematics

Grade 7

Multiplicative inverse

Question

Answers

Related Questions

The product of a fractional number and its multiplicative inverse is

A) 0

B) 1

C) Number itself

D) None of these

Answer

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Hint: Multiplicative inverse of a number is the reciprocal of the given number. If the product of two numbers is 1, then each number is known as multiplicative inverse or the reciprocal of one another. To find the multiplicative inverse of a proper or improper fraction, interchange the numerator and denominator.

So let a be a number then multiplicative inverse is the reciprocal of that number that is 1a . we are asked to find the product of a fractional number and its multiplicative inverse so we will multiply a with

1a .

Complete step-by-step answer:

In the given question we are asked to find the product of a fractional number and its multiplicative inverse.

So we will assume ‘ x ’ as a number

So the multiplicative inverse of the given number is 1x . Hence we will now multiply both the numbers with each other.

So, x×1x=1

Let’s do it by taking a proper fractional number.

Let x=57

So we have 57 as the number let’s find the multiplicative inverse of this number which is equal to 75 . Now we are asked to find the product of both the numbers, so we have 57×75=1 .

Hence this is true for all the numbers.

Hence option B is the correct answer.

Hence, the product of a fractional number and its multiplicative inverse is 1

So, the correct answer is “Option B”.

Note: Always we will try to keep in mind that we have multiplicative inverse is just the inverse of the given number or it can be defined, a number is the multiplicative inverse of others if their product gives us 1