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Evaluate 103 × 107 without multiplying directly:

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11021

00121

99121

66121

answer is A.

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Detailed Solution

Given: 103 × 107
Let us first split 103 and 107:
103 × 107 = (100 + 3) (100 +7)
Let us use identity here,
(x + a) (x + b) = x² + (a + b) x + ab:

103 × 107 = (100 + 3) (100 + 7)

= 1002 + (3 + 7) 100 + 3 × 7

= 10000 + 10 × 100 + 21

= 10000 + 1000 + 21

= 11021

Hence, 103 × 107 = 11021
Therefore, the product of 103 × 107 is 11021.
So, the correct option is 1.

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