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Multiplying decimals by 10, 100 and 1000

Multiplying by 10

When a decimal is multiplied by 10, every figure moves one place to the left.

Multiplying a decimal by 10

Each figure moves 1 place to the left, so 4.25 x 10 = 42.5

Each figure moves 1 place to the left, so 4.25 x 10 = 42.5

Multiplying by 100

When multiplying by 100, every figure moves two places to the left.

Multiplying a decimal by 100

What is 0.103 x 100?

What is 0.103 x 100?

Multiplying by 1000

When multiplying by 1000, every figure moves three places to the left.

Multiplying a decimal by 1000

What is 0.04 x 1000?

What is 0.04 x 1000?

Question

Which is bigger: 0.005 × 10 or 0.0004 × 1000?

Answer

The answer is 0.0004 × 1000
If you didn't get it right, remember that multiplying by 10 moves each digit one place to the left.

Therefore, 0.005 × 10 = 0.05.
Multiplying by 1000 moves each digit three places to the left.
Therefore, 0.0004 × 1000 = 0.4.
0.4 is bigger than 0.05.

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