Multiplying by 10: The Power of Ten

Core Concepts

Explore the power of ten! This stack covers the simple rule for multiplying any number by 10, from \(10 \times 1\) to \(10 \times 12\), and explains the concept of place value.

Next Steps in Multiplication Facts 6-12
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Multiplying by 10: The Power of Ten

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What is the fastest way to multiply a whole number by \(10\)?
Just add a zero to the end of the number. For example, to find \(10 \times 7\), you take the \(7\) and add a \(0\) to get \(70\).
Why does adding a zero work when you multiply by \(10\)?
Multiplying by \(10\) shifts every digit one place to the left in the place value chart. The ones place becomes the tens place, the tens becomes the hundreds, and so on. A zero is used as a placeholder in the now-empty ones place.
$$ 10 \times 3 = ? $$
$$ 10 \times 3 = 30 $$
$$ 10 \times 5 = ? $$
$$ 10 \times 5 = 50 $$
$$ 10 \times 8 = ? $$
$$ 10 \times 8 = 80 $$
$$ 10 \times 10 = ? $$
$$ 10 \times 10 = 100 $$
$$ 10 \times 11 = ? $$
$$ 10 \times 11 = 110 $$
$$ 10 \times 12 = ? $$
$$ 10 \times 12 = 120 $$
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