Mathematics
Find the value of the following:
(i) 54279 × 92 + 54279 × 8
(ii) 60678 × 262 - 60678 × 162
Whole Numbers
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Answer
(i) 54279 × 92 + 54279 × 8
Using the Distributive Law of Multiplication over Addition: a × b + a × c = a × (b + c).
⇒ 54279 × (92 + 8)
⇒ 54279 × 100
⇒ 5427900.
Hence, 54279 × 92 + 54279 × 8 = 5427900.
(ii) 60678 × 262 - 60678 × 162
Using the Distributive Law of Multiplication over Subtraction: a × b - a × c = a × (b - c).
⇒ 60678 × (262 - 162)
⇒ 60678 × 100
⇒ 6067800.
Hence, 60678 × 262 - 60678 × 162 = 6067800.
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