Skill: Multiply by multiples of 10

Explanation and Free Practice Resources

Multiplying by a multiple of 10 is understood through place value: for example, $6\times30$ means 6 groups of 3 tens, or $6\times3$ tens, giving 18 tens, or 180. The factor 30 is decomposed as $3\times10$ , so the resulting product has one additional place-value shift rather than a zero being appended mechanically; this reasoning supports multiplication of larger whole numbers and the standard algorithm.

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Detailed Explanation: Multiply by multiples of 10

To multiply by a multiple of $10$ , first think about the place value in the second factor.

For example, solve:

6\times30

Rewrite $30$ as $3$ tens:

30=3\times10

This means $6\times30$ is $6$ groups of $3$ tens:

6\times3\text{ tens}=18\text{ tens}

Since $10$ tens equal $1$ hundred, $18$ tens equal $180$ :

18\text{ tens}=180

Therefore,

6\times30=180

The factor $30$ has one ten, so the product shifts one place value to the left from $6\times3=18$ , giving $180$ .

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