Question

Find the product and verify the commutative property for multiplication of rational numbers:
$\frac{4}{5} \times \frac{ - 5}{8}$

please give the answer...​

Answer 1

Step-by-step explanation:

-4/5 x 5/8

-1/2

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Answer 2

Question:

$\frac{4}{5} \times \frac{ - 5}{8}$

▪️Commutative Property:

➡️( A x B ) = ( B x A )

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Now,

▪️$A = \frac{4}{5}$

$B = \frac{ - 5}{8}$

$(A \times B) = \frac{4 }{5} \times \frac{ - 5}{8}$

$= 1 \times ( \frac{ - 1}{2} )$

$= \frac{ - 1}{2}$

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Now,

▪️$(b \times a) = \frac{ - 5}{8} \times \frac{4}{5}$

$= ( \frac{ - 1}{2} ) \times 1$

$= \frac{ - 1}{2}$

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Hence

$(\frac{ - 1}{2} ) = ( \frac{ - 1}{2})$

( A x B ) = ( B x A )

▪️Therefore it obeys Commutative Property.

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