Q. 2 D5.0( 8 Votes )

Evaluate the following products without actual multiplication.

501 × 501

Answer :

501 can be written as (500 + 1)


501 × 501 = (500 + 1) × (500 + 1)


501 × 501 = (500 + 1)2


501 × 501 = (500 + 1) × (500 + 1)


501 × 501 = (500 + 1)2


Using identity (a + b)2 = a2 + 2ab + b2


Here a = 500 and b = 1


501 × 501 = 5002 + 2(500)(1) + 12


501 × 501 = 250000 + 1000 + 1


501 × 501 = 251001


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