## if the sum of-8 and a is -3 ,then find the additive inverse of a step by step

Question

if the sum of-8 and a is -3 ,then find the additive inverse of a step by step

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Mathematics
2 years
2021-07-17T14:42:13+00:00
2021-07-17T14:42:13+00:00 2 Answers
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## Answers ( )

Step-by-step explanation:For a number

a

, it’s multiplicative inverse

b

is such that

a

⋅

b

=

1

which is the multiplicative identity.

For a number

a

, it’s additive inverse

c

would be such that

a

+

c

=

0

where

0

is additive identity.

Thus, for

a

=

−

8

It’s additive inverse be

c

.

Then

−

8

+

c

=

0

Now, adding

8

to both sides,

c

=

8

.

Let the multiplicative inverse be

b

.

Then

a

⋅

b

=

1

⇒

−

8

⋅

b

=

1

Multiplying both sides with

−

1

8

b

=

−

1

8

Step-by-step explanation:-8+a= -3

if we subtract-8 and -3 we get -5

so….

-8+-5=-3

and when we do the value of a in additive inverse we get 5

so the final answer is

-8+5=-3

hope this help you!