Question 124 (i)

Evaluate the following, using distributive property.
$- 39 \times 99$

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Solution

$- 39 \times 99 = (- 40 + 1) \times (100 - 1) = - 40 \times (100 - 1) + 1 \times (100 - 1)$
Now, using distributive property,
$= (- 40 \times 100) + (- 1 \times - 40) + (1 \times 100) + (1 \times (- 1)) [∵ a \times (b \times c) = a \times b + a \times c] = - 4000 + 40 + 100 - 1 = - 3861$

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Question 124 (iii)

Evaluate the following, using distributive property.
$53 \times (- 9) - (- 109) \times 53$

Question 124 (iv)

Evaluate the following, using distributive property.
$68 \times (- 17) + (- 68) \times 3$

Question 124(ii)

Evaluate the following, using distributive property.
$(- 85) \times 43 + 43 \times (- 15)$

(i) - 39 \times 99

(- 85) \times 43 + 43 \times (- 15)

53 \times (- 9) - (- 109) \times 53

68 \times (- 17) + (- 68) \times 3

7 + 77 + 777 + 7 \times 9 + 77 \times 99 + 777 \times 999

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