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Sum of Consecutive Numbers (Not Starting from 1)

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Question

Find the following using suitable properties.
i. 625 X [-25] X [-16] X [-4]

ii. 348 X [-37] + 348 X [-63]

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Solution

$(1) . 625 \times (- 25) \times (- 16) \times (- 4) = [625 \times (- 16)] \times [(- 25) \times (- 4)] \{associative law\} = (- 10000) \times (100) = - 1000000 (2) . 348 \times (- 37) + 348 \times (- 63) = 348 \times [(- 37) + (- 63)] \{distributive law\} = 348 \times [- (37 + 63)] = 348 \times (- 100) = - 34800$

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