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Find the Additive Inverse of: −7/9

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Additive Inverse of -7/9 is -(-7/9) i.e. 7/9.

Additive inverse of any value or number is the number which when added to it results in zero. For example , if x is any number then its additive inverse is -x. as x + (-x) = 0 . In mathematical notation, the additive inverse of a number x is represented as −x. For example, if x is a positive number, its additive inverse is represented as −x, and if x is a negative number, its additive inverse is represented by −(−a), which simplifies to a.

What is Additive Inverse?

The value of an additive inverse of a number is defined as the value that when added to the original number results in zero. It’s the amount we add to a number to make it equal zero. 

If x is an original number, then its additive inverse is minus x, or -x, as follows:

x + (-x) = x – x = 0

Hence, the Additive inverse of x is -x.

Now, in the case of -x i.e. the additive inverse of -x must be x or positive as follows:

(-x) + x = -x + x = 0

Problem: Find Additive Inverse of −7/9

Solution:

Given fraction is -7/9

As we know that, the additive inverse of any fraction is given as:

p/q + (-p/q) = p/q – p/q = 0

This implies, the additive inverse of p/q is -p/q.

Now, in case of (-p/q) i.e. the additive inverse of (-p/q) must be (p/q) or positive as follows:

(-p/q) + p/q = -p/q + p/q = 0

Similarly, the additive inverse of -7/9 is 7/9 as follows:

(-7/9) + 7/9 = 0

Hence, the additive inverse of -7/9 is 7/9 or positive 7/9

Similar Questions

Question 1: What is the additive inverse of xy?

Answer:

Additive inverse of xy is -xy as follows:

xy + (-xy)

= xy – xy

= 0

Question 2: Is there a similarity between additive inverse and additive identity?

Answer:

No, they’re not the same. The additive inverse occurs when you add two numbers together to achieve a zero result. The value that is added to get the original integer, which is zero, is called additive identity.

Question 3: What is the additive inverse of 1/100?

Answer:

Additive inverse of 1/100 is -1/100 as follows:

1/100 + (-1/100)

= 1/100 – 1/100

= 0


Last Updated : 18 Mar, 2024
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