NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - Problems and Solutions
Question 68

Question. 68

Write the integer which is 2 less than its additive inverse.

Answer:

\(-1\)

Detailed Answer with Explanation:

  1. Let the required integer be (n).
  2. The additive inverse of (n) is (-n).
  3. “2 less than its additive inverse” means ((-n) - 2).
  4. So, we set it equal to the number itself:
    (n = -n - 2)
  5. Add (n) on both sides:
    (n + n = -2)
    (2n = -2)
  6. Divide both sides by 2:
    (n = -1)
  7. Check: additive inverse of (-1) is (1); two less than (1) is (1 - 2 = -1). Correct.
Open NCERT PDF