Using distributive law, find the squares of 101. – InterviewSolution

InterviewSolution

1.

Using distributive law, find the squares of 101.

Answer»

By using distributive law,

We have,

101 = 100 + 1

So,

101² = (100 + 1)²

= (100 + 1) (100 + 1)

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

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

= 10000 + 100 + 100 + 1

= 10201

∴The square of the given number i.e. 101² = 10201

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