The value of (89 × 76 + 89 × 24) is
(a) 890
(b) 8900
(c) 89000
(d) 10420

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Solution

(b) 8900

(89 × 76 + 89 × 24)
= 89 × (76 + 24) [Using distributive property of multiplication over addition]
= 89 × 100
= 8900

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(89 \times (76 - 89 + 24))

\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})

\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})

(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})

\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})

1, 5, 8 = 76

2, 7, 3 = 25

3, 4, 9 = 89

4, 5, 7 = 69

5, 3, 8

∣ ∣ ∣ ∣ \begin{matrix} 18 & 40 & 89 40 & 89 & 198 89 & 198 & 440 \end{matrix} ∣ ∣ ∣ ∣

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