NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - True or False Questions
Question 77

Question. 77

Every number is a multiple of itself.

Answer:

true

Detailed Answer with Explanation:

Idea (very simple): A number is called a multiple of \(b\) if we can write it as \(b \times k\), where \(k\) is a whole number.

  1. Take any number. Call it \(n\).
  2. Choose the whole number \(k=1\).
  3. Now write: \(n \times 1\).
  4. We know \(n \times 1 = n\).

So we have written \(n\) in the form \(n \times 1\) (with whole number \(k=1\)). Therefore, \(n\) is a multiple of itself. Hence, the statement is true.

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