Question

-4/5 and -13/-15

verify the commutative property of addition of this rational number.​

Answer 1

Answer:

Given : The Rational Numbers are -4/5 , -13/-15

To Find : Verify Commutative Property of addition

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Solution : Let us add both numbers two times by changing their positions.

$\bigstar{ \underline{ \mathfrak{ \pmb{We \: Know \: That , }}}}$

${ \pmb{ \sf{Commutative \: Property :}}}$

⠀⠀⠀⠀⠀⠀⠀This Property mean changing the order of number doesn't change their Sum or different or product. For Example : 2 + 3 = 3 + 2 >> 5 = 5 .

$\bigstar{ \underline{ \pmb{ \mathfrak{Verification,}}}}$

$\: \: \: \: \: : { \implies{ \sf{ \frac{ - 4}{5} + \frac{13}{15} = \frac{13}{15} + \bigg( \frac{ - 4}{5} \bigg) }}}$

$\: \: \: \: \: : { \implies{ \sf{ \frac{ - 12 + 13}{15} = \frac{13 - 12}{15} }}}$

$\: \: \: \: \: : { \implies{ \sf{ \pmb{ \frac{1}{15} = \frac{1}{15} }}} }$

Hence Proved

hope it's helps uh dear @HelpfulOPS :)

Answer 2

Answer,

Given,

Two rational numbers are -4/5 and -13/-15.

To Find?

Verify the Commutative Property of Addition.

Solution

Let us add these two rational numbers by changing their positions.

As, we know that

☆ Commutative Property:-

This property states that changing of orders doesn't change their addition and multiplication.

☆ Verification

⟹ -4/5 + (-13)/(-15) = (-13)/(-15) + -4/5

⟹ -12+13/15 = 13-12/15

⟹ 1/15 = 1/15

L.H.S = R.H.S

Hence Proved!