NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - True or False Questions
Question 39

Question. 39

The sum of three different integers can never be zero.

Answer:

false

Detailed Answer with Explanation:

  1. We need three different integers whose sum is 0.
  2. Take the numbers: −1, 0, 1. All three are different.
  3. Write their sum:
    ( -1 + 0 + 1 )
  4. Add the first two:
    ( -1 + 0 = -1 )
  5. Now add the third number:
    ( -1 + 1 = 0 )
  6. The sum is 0 and the numbers are different. So the statement “The sum of three different integers can never be zero” is false.

Another example:
( -2 + (-1) + 3 = -3 + 3 = 0 )

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 3: Integers – True or False Questions | Detailed Answers