Solve the Decimal Division: 5.2 ÷ 100 Step-by-Step

Q: Why does dividing by 100 move the decimal point left?

When you divide by 100, you're making the number 100 times smaller. Moving the decimal point left makes numbers smaller, just like division should!

Q: How do I remember which way to move the decimal?

Think about it logically: division makes numbers smaller, so move left. Multiplication makes numbers bigger, so move right.

Q: What if I don't have enough digits to move the decimal?

Add placeholder zeros to the left! For example, if dividing 5 by 1000, write it as 5.0, then add zeros: 0.005.

Decimal Division with Powers of Ten

$5.2:100=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 According to the number of zeros, move the decimal point

00:10 Move the decimal point as many places as zeros

00:21 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$5.2:100=$

Final Answer

$0.052$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 100 moves decimal point two places left
Technique: Count zeros in divisor: 100 has 2 zeros = move 2 places
Check: Multiply answer by divisor: 0.052 × 100 = 5.2 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point right when dividing by 100 = 520 instead of 0.052! Division by powers of 10 makes numbers smaller, not larger. Always move the decimal point left when dividing by 10, 100, 1000.

Practice Quiz

Test your knowledge with interactive questions

$\text{0}.07\times10=$

FAQ

Everything you need to know about this question

Why does dividing by 100 move the decimal point left?

When you divide by 100, you're making the number 100 times smaller. Moving the decimal point left makes numbers smaller, just like division should!

How do I remember which way to move the decimal?

Think about it logically: division makes numbers smaller, so move left. Multiplication makes numbers bigger, so move right.

What if I don't have enough digits to move the decimal?

Add placeholder zeros to the left! For example, if dividing 5 by 1000, write it as 5.0, then add zeros: 0.005.

Does this work for any power of 10?

Yes! Count the zeros in the divisor (10 has 1 zero, 1000 has 3 zeros) and move the decimal point that many places left.

How can I check my answer quickly?

Multiply your answer by the original divisor. If you get back to the original number, you're correct! $0.052 \times 100 = 5.2$ ✓

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