Question

The additive inverse of 21/5 is

(a) -21/5. (b) 21/5. (c) 1/2. (d) 2/5​

Answer 1

The additive inverse of 21/5 is - 21/5

Given :

The number 21/5

To find :

The additive inverse of 21/5 is

(a) - 21/5

(b) 21/5

(c) 1/2

(d) 2/5

Solution :

Step 1 of 2 :

Define additive inverse of a number

We know that 0 is the additive identity

Let N be any number and M be the additive inverse of N

So by the property of additive inverse

N + M = 0 = M + N

More precisely for any given number the additive inverse is the number that when added to the given number will result zero

So from above we can conclude that additive inverse of N is - N

Step 2 of 2 :

Find the additive inverse of 21/5

Here the given number is 21/5

Let x be the required additive inverse

So by the property of additive inverse

x + 21/5 = 0

⇒ x = - 21/5

So the additive inverse of 21/5 is - 21/5

Hence the correct option is (a) - 21/5

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