For rational numbers -a-b- -c-d- and -e-f- we have -a-b- - -c-d- - -e-f- - - - - - Maths Q-A

Evaluate the given expression:The given expression is a/b×(c/d+e/f).According to the distributive law, we know thatA×(B+C)=A× B+A× CTherefore, the given express ...

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Standard VIII

Mathematics

Associative Property of Whole Numbers

For rational ...

Question

For rational numbers $\frac{a}{b}, \frac{c}{d}$ and $\frac{e}{f}$ we have $\frac{a}{b} \times (\frac{c}{d} + \frac{e}{f}) =$ $+$

$\frac{a}{b} \times \frac{c}{d}$

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$\frac{a}{b} \times \frac{e}{f}$

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Solution

Evaluate the given expression:
The given expression is $\frac{a}{b} \times (\frac{c}{d} + \frac{e}{f})$ .
According to the distributive law, we know that
$A \times (B + C) = A \times B + A \times C$
Therefore, the given expression can be written as,
$\frac{a}{b} \times (\frac{c}{d} + \frac{e}{f}) = \frac{a}{b} \times \frac{c}{d} + \frac{a}{b} \times \frac{e}{f}$
Hence, the required rational numbers are $\frac{a}{b} \times \frac{c}{d}$ and $\frac{a}{b} \times \frac{e}{f}$ .

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For rational numbers ab,cd and ef we have ab×cd+ef= ______+______

Evaluate the given expression:The given expression is ab×cd+ef.According to the distributive law, we know thatA×B+C=A×B+A×CTherefore, the given expression can be written as,ab×cd+ef=ab×cd+ab×efHence, the required rational numbers are ab×cd and ab×ef.

For rational numbers $\frac{a}{b}, \frac{c}{d}$ and $\frac{e}{f}$ we have $\frac{a}{b} \times (\frac{c}{d} + \frac{e}{f}) =$ $+$