Solve Decimal Division: 0.1 ÷ 10 Step by Step

Q: Why does dividing by 10 move the decimal left?

Think of it this way: dividing makes numbers smaller. Moving the decimal point left makes $ 0.1 $ become the smaller number $ 0.01 $. It's the opposite of multiplying!

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

Use this trick: Dividing by 10, 100, 1000... makes numbers smaller, so move the decimal LEFT. Multiplying by 10, 100, 1000... makes numbers bigger, so move RIGHT.

Decimal Division with Power of Ten

$0.1:10=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 According to the number of zeros, move the decimal point

00:08 Move the decimal point according to the number of zeros

00:17 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0.1:10=$

Step-by-step solution

To solve this problem, follow these steps:

Step 1: Recognize that we are dividing $0.1$ by $10$ .
Step 2: Apply the rule for dividing by $10$ , which involves shifting the decimal point in $0.1$ one place to the left.

Let's solve the problem:

Step 1: We have the number $0.1$ , and we need to divide it by $10$ .
Step 2: Since dividing by $10$ shifts the decimal point one place to the left, move the decimal in $0.1$ one place left.
Therefore, $0.1$ becomes $0.01$ after shifting the decimal point.

Thus, the solution to the problem is $\boxed{0.01}$ .

Final Answer

$0.01$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 shifts decimal point one place left
Technique: Move decimal in $0.1$ left to get $0.01$
Check: Multiply answer by 10: $0.01 \times 10 = 0.1$ ✓

Common Mistakes

Avoid these frequent errors

Moving the decimal point the wrong direction
Don't move the decimal point to the right when dividing by 10 = you get 1.0 instead of 0.01! This makes the answer 100 times too big because you're multiplying instead of dividing. Always move the decimal point LEFT when dividing by powers of ten.

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 10 move the decimal left?

Think of it this way: dividing makes numbers smaller. Moving the decimal point left makes $0.1$ become the smaller number $0.01$ . It's the opposite of multiplying!

What if I need to add zeros when moving the decimal?

Sometimes you need to add zeros as placeholders! For example, dividing $0.5$ by 100 means moving left 2 places: $0.5$ becomes $0.005$ (we added a zero).

How do I remember which direction to move the decimal?

Use this trick: Dividing by 10, 100, 1000... makes numbers smaller, so move the decimal LEFT. Multiplying by 10, 100, 1000... makes numbers bigger, so move RIGHT.

Does this work for any power of 10?

Yes! Divide by 10 = move 1 place left. Divide by 100 = move 2 places left. Divide by 1000 = move 3 places left. The number of zeros tells you how many places to move!

Can I solve this using long division instead?

You could, but it's much faster to use the decimal point rule! Long division would give the same answer, but moving the decimal is the smart shortcut for powers of 10.

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