1
Question
Find the
value of the following:
(a) 297 ×
17 + 297 × 3 (b) 54279 ×
92 + 8 × 54279
(c) 81265
× 169 − 81265 ×
69 (d) 3845 × 5 ×
782 + 769 × 25 ×
218
Find the value of the following:
(a) 297 × 17 + 297 × 3 (b) 54279 × 92 + 8 × 54279
(c) 81265 × 169 − 81265 × 69 (d) 3845 × 5 × 782 + 769 × 25 × 218
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Solution
(a) 297 ×
17 + 297 × 3 = 297 × (17 + 3)
= 297 × 20 = 5940
(b) 54279
× 92 + 8 × 54279 = 54279 × 92 + 54279 × 8
= 54279 × (92 + 8)
= 54279 × 100 = 5427900
(c) 81265
× 169 − 81265 × 69 = 81265 × (169 − 69)
= 81265 × 100 = 8126500
(d) 3845 ×
5 × 782 + 769 × 25 × 218
= 3845 × 5 × 782 + 769 × 5 × 5 × 218
= 3845 × 5 × 782 + 3845 × 5 × 218
= 3845 × 5 × (782 + 218)
= 19225 × 1000 = 19225000
(a) 297 × 17 + 297 × 3 = 297 × (17 + 3)
= 297 × 20 = 5940
(b) 54279 × 92 + 8 × 54279 = 54279 × 92 + 54279 × 8
= 54279 × (92 + 8)
= 54279 × 100 = 5427900
(c) 81265 × 169 − 81265 × 69 = 81265 × (169 − 69)
= 81265 × 100 = 8126500
(d) 3845 × 5 × 782 + 769 × 25 × 218
= 3845 × 5 × 782 + 769 × 5 × 5 × 218
= 3845 × 5 × 782 + 3845 × 5 × 218
= 3845 × 5 × (782 + 218)
= 19225 × 1000 = 19225000
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