NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - True or False Questions

Question 43

Idea: A whole number means \(0, 1, 2, 3, \dots\).

What does \(2m\) mean?

It means “2 times \(m\)”.

So, \(2m = 2 \times m\).

What is a multiple of 2?

A number is a multiple of 2 if it can be written as \(2 \times k\) for some whole number \(k\).

These numbers are also called even numbers.

Check with examples:

• If \(m = 0\), then \(2m = 2 \times 0 = 0\) → multiple of 2.
• If \(m = 3\), then \(2m = 2 \times 3 = 6\) → multiple of 2.
• If \(m = 10\), then \(2m = 2 \times 10 = 20\) → multiple of 2.

General reasoning:

Since \(m\) is a whole number, let \(k = m\).

Then \(2m = 2 \times m = 2 \times k\).

This matches the form “\(2 \times\) (a whole number)”.

Conclusion: \(2m\) is always a multiple of 2. So the statement is True.