Verify each of the following-i 37 -59-59 - 37ii -87 - 139-139 -87iii -125 - 7-36-7-36 -125iv -8 -1312-1312 -8

(i) 37 #215; 59= 59 #215;37 nbsp;LHS=3 #215;( 5)7 #215;9 #160; #160; #160; #160; #160; #160; #160; #160;= 1563Simplifying, #160;w ...

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Properties of Multiplication of Integers

Verify each o...

Question

Verify each of the following:
(i) $\frac{3}{7} \times \frac{- 5}{9} = \frac{- 5}{9} \times \frac{3}{7}$
(ii) $\frac{- 8}{7} \times \frac{13}{9} = \frac{13}{9} \times \frac{- 8}{7}$
(iii) $\frac{- 12}{5} \times \frac{7}{- 36} = \frac{7}{- 36} \times \frac{- 12}{5}$
(iv) $- 8 \times \frac{- 13}{12} = \frac{- 13}{12} \times (- 8)$

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\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})

Verify each of the following :

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

(ii) $\frac{- 8}{7} \times \frac{13}{9} = \frac{13}{9} \times \frac{- 8}{7}$

(iii) $\frac{- 12}{5} \times \frac{7}{- 36} = \frac{7}{- 36} \times \frac{- 12}{5}$

(iv) $- 8 \times \frac{- 13}{12} = \frac{- 13}{12} \times (- 8)$

\frac{5}{9} or \frac{- 3}{- 8}

\frac{4}{- 3} or \frac{- 8}{7}

\frac{- 12}{5} or - 3

\frac{7}{- 9} or \frac{- 5}{8}

\frac{4}{- 5} or \frac{- 7}{8}

\frac{9}{- 13} or \frac{7}{- 12}

\frac{5}{9} > \frac{- 3}{- 8}

\frac{5}{9} < \frac{- 3}{- 8}

\frac{2}{- 3} < \frac{- 8}{7}

\frac{4}{- 3} > \frac{- 8}{7}

139^{\circ}

39^{\circ}

26 59^{'}

153^{\circ} 1^{'}

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