Using distributive law, find the square of 101.

Solution:

Given, the number is 101.

We have to find the square of 101 using distributive law.

The distributive property is also known as the distributive law of multiplication over addition and subtraction.

The name itself signifies that the operation includes dividing or distributing something.

The distributive law is applicable to addition and subtraction.

A (B + C) can be solved as A × (B + C) = AB + AC.

A (B - C) can be solved as A × (B - C) = AB - AC.

101 can be written as (100 + 1)

Square of 101 = (100 + 1)²

Using distributive law,

(100 + 1)² = (100 + 1) (100 + 1)

= 100(100 + 1) + 1(100 + 1)

= 100(101) + 101

= 10100 + 101

= 10201

Therefore, 101² = 10201.

✦ Try This: Using distributive law, find the square of 48.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 93 (a)

Using distributive law, find the square of 101

Summary:

Using distributive law, the square of 101 is 10201.

☛ Related Questions:

• Using distributive law, find the square of 72
• Can a right triangle with sides 6cm, 10cm and 8cm be formed? Give reason
• Write the Pythagorean triplet whose one of the numbers is 4