Math, asked by byreddysiri6300, 1 month ago

The additive inverse of 1947 in Q is​

Answers

Answered by mahii095
1

-1947

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Answered by pulakmath007
0

The additive inverse of 1947 in Q is - 1947

Given :

The number 1947

To find :

The additive inverse of 1947 in Q

Solution :

Step 1 of 2 :

Define additive inverse of a number

We know that 0 is the additive identity in Q

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

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 1947

Here the given number is 1947

Let x be the required additive inverse

So by the property of additive inverse

x + 1947 = 0

⇒ x = - 1947

Hence the additive inverse of 1947 in Q is - 1947

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