Question

(1) Write the integer which is 4 more than its additive inverse.
(2) Write the integer which is 2 less than its additive inverse​

Answer 1

Answers:

(1) 2

(2) -1

Explanation

Additive inverse refers to a number which when added to the original number results in 0. additive inverse of a number "x" will be "-x".

(1) Write the integer which is 4 more than its additive inverse.

let the original integer = a

Then,

The additive inverse of the integer = -a

According to the Question,

⇛ a = 4 + ( -a )

⇛ a = 4 - a

⇛ a + a = 4

⇛ 2a = 4

⇛ a = 4/2

⇛ a = 2

2 is the required integer.

(2) Write the integer which is 2 less than its additive inverse.

let the original integer = b

Then,

The additive inverse of the integer = -b

According to the Question,

⇛ b = -b - 2

⇛ b + b = -2

⇛ 2b = -2

⇛ b = -2/2

⇛ b = -1

-1 is the required integer.