NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - True or False Questions
Question 69

Question. 69

There is a whole number which when added to a whole number, gives the number itself.

Answer:

true

Detailed Answer with Explanation:

  1. Whole numbers are: \(\mathbb{W} = \{0,1,2,3,\ldots\}\).
  2. We want a whole number \(x\) such that adding it does not change any whole number \(a\).
  3. Try \(x = 0\).
  4. Example: \(5 + 0 = 5\).
  5. Another example: \(0 + 7 = 7\).
  6. This works for every whole number: \(a + 0 = a\).
  7. Also: \(0 + a = a\).
  8. So \(0\) is the special number (called the additive identity).
  9. Therefore, the statement is true.
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