The multiplicative inverse of 10¹⁰ is ___________. Fill in the blank to make the statement true.

Solution:

Given, The multiplicative inverse of 10¹⁰ is ___________.

The multiplicative inverse of a number is defined as a number that when multiplied by the original number gives the product as 1.

i.e., a × b = 1

a = 10¹⁰

Now, 10¹⁰ × b = 1

b = 1/10¹⁰

We know, for any non-zero integer a, 1/aⁿ = a⁻ⁿ

1/aⁿ = 1/10¹⁰

a⁻ⁿ = 10^-10

Therefore, the required value is 10^-10.

✦ Try This: The multiplicative inverse of 10¹³ is ___________. Fill in the blank to make the statement true.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 34

The multiplicative inverse of 10¹⁰ is ___________. Fill in the blank to make the statement true.

Summary:

The multiplicative inverse is defined as the reciprocal of a given number. The multiplicative inverse of 10¹⁰ is 10^-10.

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☛ Related Questions:

• a³ × a⁻¹⁰ = __________. Fill in the blank to make the statement true
• 5⁰ = __________. Fill in the blank to make the statement true
• 5⁵ × 5⁻⁵ = __________. Fill in the blank to make the statement true