Evaluate 105 times 106 without multiplying di | vedclass

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Question

(A) To evaluate $105 	imes 106$ without direct multiplication,we can express the numbers as $(100 + 5)$ and $(100 + 6)$.Using the algebraic identity

Vedclass · Accepted Answer

$11130$

Vedclass · Answer

(A) To evaluate $105 	imes 106$ without direct multiplication,we can express the numbers as $(100 + 5)$ and $(100 + 6)$.Using the algebraic identity $(x + a)(x + b) = x^2 + (a + b)x + ab$,where $x = 100$,$a = 5$,and $b = 6$:$105 	imes 106 = (100 + 5)(100 + 6)$$= (100)^2 + (5 + 6)(100) + (5 	imes 6)$$= 10000 + 11(100) + 30$$= 10000 + 1100 + 30$$= 11130$

Evaluate $105 \times 106$ without multiplying directly.

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