NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - True or False Questions
Question 37

Question. 37

The sum of an integer and its additive inverse is always zero.

Answer:

true

Detailed Answer with Explanation:

Step 1: Take any integer (n).

Step 2: Its additive inverse is (-n).

Step 3: Add the number and its inverse:

(n + (-n))

Step 4: This is the same as:

(n - n)

Step 5: Subtracting the same number gives:

(0)

Conclusion: For every integer (n), (n + (-n) = 0).