NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - Multiple Choice QuestionsQuestion 13
Class 6 - Mathematics - Unit 3: Integers - Multiple Choice Questions
Question. 13
The additive inverse of a negative integer
(A)
is always negative
(B)
is always positive
(C)
is the same integer
(D)
zero
Detailed Answer with Explanation:
The additive inverse of a number is the number you add to it to get 0.
Let the negative integer be (a).
So, (a<0).
By definition, we need a number (x) such that
(a + x = 0).
Solving for (x):
(x = -a).
Since (a<0), multiplying by (-1) flips the sign:
(-a>0).
Therefore, the additive inverse of a negative integer is positive.
Example: If (a=-7), then its additive inverse is (-a=7) (positive).