Skill: Multiply multiples of 10 by a 1-digit number

Explanation and Free Practice Resources

Multiplying a one-digit whole number by a multiple of 10 (10–90) means finding the corresponding number of tens and then renaming those tens as hundreds or tens as needed; for example, $6 \times 40$ is $6 \times 4$ tens, or 24 tens, which equals 240. This understanding connects basic multiplication facts with place value and prevents treating the zero as an arbitrary symbol; larger factors, multiples of 100, and general multi-digit algorithms are beyond this scope.

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Detailed Explanation: Multiply multiples of 10 by a 1-digit number

To multiply a 1-digit number by a multiple of 10, first multiply by the number of tens. Then rename those tens.

Example: Find $(6 \times 40)$ .

Think of $(40)$ as $4$ tens:

40=4\text{ tens}

Multiply $6$ by $4$ :

6\times 4=24

So, $(6\times 40)$ is $(24)$ tens. Rename $(24)$ tens as $(240)$ :

24\text{ tens}=240

Therefore,

\boxed{6\times 40=240}

The zero in $(40)$ shows that the $4$ means $4$ tens. It helps us remember the place value.

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