Question

4. Name the property under multiplication used in the following -5/7×3/8=3/8×-5/7
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Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

TO IDENTIFY

The property under multiplication used in the following

$\displaystyle \sf{ - \frac{5}{7} \times \frac{3}{8} = \frac{3}{8} \times ( - \frac{5}{7} \: ) \: }$

CONCEPT TO BE IMPLEMENTED

COMMUTATIVE PROPERTY under multiplication for the Set of Real numbers states that

For two real numbers a and b

$\sf{a \times b = b \times a \: }$

EVALUATION

The given multiplication is

$\displaystyle \sf{ - \frac{5}{7} \times \frac{3}{8} = \frac{3}{8} \times ( - \frac{5}{7} \: ) \: }$

The property used in the above multiplication is called COMMUTATIVE PROPERTY under multiplication for the set of Real numbers

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Answer 2

$\underline{\pink{ Commutative \: Property \: under \: Multiplication : }}$

$\blue{ \frac{a}{b} \: and \: \frac{c}{d} \: are }$

$\blue{ two \: rational \: numbers }$

$\boxed{ \orange { \frac{a}{b} \times \frac{c}{d} = \frac{c}{d} \times \frac{a}{b} }}$

$Here , \frac{a}{b} = \frac{-5}{7} \: and \\ \frac{c}{d} = \frac{3}{8}$

$\Big( \frac{-5}{7}\Big) \times \frac{3}{8} = \frac{3}{8} \times \Big( \frac{-5}{7}\Big)$

Therefore.,

$\green { ( Commutative \: Property ) }$

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