Identify the property-13- 12-15 - 13- 12 - 13- 15

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Multiplication of Integers

Identify the ...

Question

Identify the property.
$13 \times (12 + 15) = (13 \times 12) + (13 \times 15)$

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Solution

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Name the property of multiplication illustrated by each of the following statements :

(i) $\frac{- 15}{8} \times \frac{- 12}{7} = \frac{- 12}{7} \times \frac{- 15}{8}$

(ii) $(\frac{- 2}{3} \times \frac{7}{9}) \times \frac{- 9}{5} = \frac{- 2}{3} \times (\frac{7}{9} \times \frac{- 9}{5})$

(iii) $\frac{- 3}{4} \times (\frac{- 3}{4} \times \frac{- 5}{6}) + (\frac{- 3}{4} \times \frac{7}{8})$

(iv) $\frac{- 16}{9} \times 1 = 1 \times \frac{- 16}{9} = \frac{- 16}{9}$

(v) $\frac{- 11}{15} \times \frac{15}{- 11} = \frac{15}{- 11} \times \frac{- 11}{15} = 1$

(vi) $\frac{- 7}{5} \times 0 = 0$

9 + (12 + 15) = 12 + (9 + 15)

(15 - 12) \times 18 = 15 \times 18 - 12 \times 18)

5 \times 108

15 \times 12 - 5 \times 12

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