Use distributivity to simplify-i 74- 58 - 12

We know that the distributive property is a(b+c)=ab+ac 74 ×( 58+ 12)=(74)( 58)+(74)( 12) =3532+78 =35+2832 =6332 ...

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Operations on Rational and Irrational Numbers

Use distribut...

Question

Use distributivity to simplify:
i) $\frac{7}{4} \times (\frac{5}{8} + \frac{1}{2})$

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Use the distributivity of multiplication of rational numbers over their addition to simplify:

(i) $\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1})$

(ii) $\frac{- 5}{4} \times (\frac{8}{5} + \frac{16}{5})$

(iii) $\frac{2}{7} \times (\frac{7}{16} - \frac{21}{4})$

(iv) $\frac{3}{4} \times (\frac{8}{9} - 40)$

\frac{11}{12} \div (\frac{5}{9} \times \frac{18}{25})

(2 \frac{1}{2} \times \frac{8}{10}) \div (1 \frac{1}{2} + \frac{5}{8})

\frac{15}{16}

(\frac{5}{6} - \frac{1}{2}) \div \frac{10}{11}

\frac{9}{8} \div \frac{3}{5}

(\frac{3}{4} + \frac{3}{5})

\frac{2}{5} \div {\frac{1}{5} o f [\frac{3}{4} - \frac{1}{2}] - 1}

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

3, 4, 5, 6, 6, 5, 4, 3, 2, 2, 2, 1, 7, 7, 8, 2

(16^{- 1 / 5})^{5 / 2}

\sqrt[5]{{(32)}^{- 3}}

\sqrt[3]{(343)^{- 2}}

(0.001)^{1 / 3}

\frac{(25)^{3 / 2} \times (243)^{3 / 5}}{(16)^{5 / 4} \times (8)^{4 / 3}}

{(\frac{\sqrt{2}}{5})}^{8} \div {(\frac{\sqrt{2}}{5})}^{13}

{(\frac{5^{- 1} \times 7^{2}}{5^{2} \times 7^{- 4}})}^{7 / 2} \times {(\frac{5^{- 2} \times 7^{3}}{5^{3} \times 7^{- 5}})}^{- 5 / 2}

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