NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - True or False Questions
Question 35

Question. 35

6 and −6 are at the same distance from 0 on the number line.

Answer:

true

Detailed Answer with Explanation:

  1. On a number line, the distance from 0 means how far a number is from 0. We do not care about direction (left or right).
  2. The distance from 0 is called the absolute value. We write it as:
    \(|a|\) = distance of \(a\) from 0.
  3. For \(6\):
    \(|6| = 6\).
  4. For \(-6\):
    \(|-6| = 6\).
  5. Both distances are equal:
    \(|6| = |-6| = 6\).
  6. So, \(6\) and \(-6\) are at the same distance from 0 (they are on opposite sides).

Therefore: True.

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