Question

If the sum of -7 and a is - 6, find the additive inverse of a .

Answer 1

Hey there !! here is your answer... Hope it helped!!

Answer:

To answer your question , let me tell you the properties in addition and subtraction of integers:

1. When 2 positives are added, answer will also be positive.

2. When 2 Negatives are added , answer will be negative.

3.When a positive and a negative are added, the sign of the greater number will be put.

Step-by-step explanation:

So, based on these rules, let us answer your question:

Q. If the sum of -7 and a is - 6, find the additive inverse of a .

Let us take the number that is added to be as 'a'.

As you can see in the question, the final answer(-6) is a negative answer.

Let us find the value of 'a' now.

-7+a=-6

a=-6+7

a=1 (When a positive and a negative are added, the sign of the greater number will be put.)

So, the value of 'a' will be positive.

Now, what is the additive inverse?

The additive inverse of a number is the number that should be added to a  given number to make the answer '0', or in other words, the additive inverse of a number will be the opposite sign of the number. For eg: Additive inverse of 2= -2.

So , following the rule of the additive inverse,

a=1.

Additive inverse of 1 = -1

Hope it helped you!! :)

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