Name the property used in each of the following- 1-3 - - 4-9 - -4-3 - - - 1-3 - 4-9 - - - -4-3 -

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Associative Property of Rational Numbers

Name the prop...

Question

Name the property used in each of the following:
$\frac{1}{3} + [\frac{4}{9} + (\frac{- 4}{3})] = [\frac{1}{3} + \frac{4}{9}] + [\frac{- 4}{3}]$

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\frac{- 2}{3} \times [\frac{3}{4} + \frac{- 1}{2}] = [\frac{- 2}{3} \times \frac{3}{4}] + [\frac{- 2}{3} \times \frac{- 1}{2}]

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

\frac{2}{3} \times \frac{4}{5} = \frac{4}{5} \times \frac{2}{3}

(\frac{- 3}{4}) \times 1 = \frac{- 3}{4} = 1 \times (\frac{- 3}{4})

(\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}

\frac{3}{4} \cdot \frac{9}{5} = \frac{27}{20}

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

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