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Distributive Property of Rational Numbers

ii Name the p...

Question

Question 124(ii)
Name the property used in each of the following:
$\frac{- 2}{3} \times [\frac{3}{4} + \frac{- 1}{2}] = [\frac{- 2}{3} \times \frac{3}{4}] + [\frac{- 2}{3} \times \frac{- 1}{2}]$

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Solution

Distributive property over addition.

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Q. Name the property used in each of the following:

\frac{- 3}{2} + (\frac{1}{3} + \frac{4}{7}) = (\frac{- 3}{5} + \frac{1}{3}) + \frac{4}{7}

Name the property used in each of the following:
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Q. Name the property under multiplication used in each of the following:
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\frac{2}{3} \times \frac{4}{5} = \frac{4}{5} \times \frac{2}{3}

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(\frac{- 17}{28}) \times (\frac{- 28}{17}) = 1

\frac{1}{5} \times (\frac{7}{8} \times \frac{4}{3}) = (\frac{1}{5} \times \frac{7}{8}) \times \frac{4}{3}

\frac{2}{7} \times (\frac{9}{10} + \frac{2}{5}) = \frac{2}{7} \times \frac{9}{10} + \frac{2}{7} \times \frac{2}{5}

Q. Name the property used in each of the following:

\frac{2}{3} + (\frac{- 2}{3}) = 0 = (\frac{- 2}{3}) + \frac{2}{3}

Q. Name the property used in the following:

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Distributive Property of Rational Numbers

Standard VIII Mathematics

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