Which of the following is not the additive inverse of a
a. -(-a)
b. a × (-1)
c. -a
d. a ÷ (-1)

Solution:

According to the additive inverse property the additive inverse of any number x is -x.

To determine which of the above listed options is NOT the additive inverse of a, let us solve the options individually using integer rules.

a. -(-a) = a
b. a × (-1) = -a
c. -a = -a
d. a ÷ (-1) = -a

Therefore except option a, all the other options are giving the additive inverse value. Hence,  -(-a) is not the additive inverse of a.

✦ Try This:  What is the additive inverse of 27

According to the additive inverse property we know that the additive inverse of any number x is -x. Hence using the same logic we can calculate the additive inverse value of 27

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 1

NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 14

Which of the following is not the additive inverse of a: -(-a), a × (-1), -a, a ÷ (-1)

Summary:

After applying the additive inverse property we have observed that option (a) is not the additive inverse of a.

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