If m is a whole number, then 2m denotes a multiple of 2.
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:
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.