Solve Decimal Division: 0.8 ÷ 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 $ 0.8 $ become $ 0.08 $, which is indeed smaller!

Q: What if there's no decimal point visible?

Every whole number has an invisible decimal point at the end! For example, 8 is really 8.0, so $ 8 ÷ 10 = 0.8 $.

Q: How do I remember which direction to move?

Remember: Division makes smaller, multiplication makes bigger. Smaller means move decimal left, bigger means move decimal right.

Q: What about dividing by 100 or 1000?

Same pattern! Dividing by 100 moves decimal two places left, dividing by 1000 moves three places left. The number of zeros tells you how many places to move.

Q: Do I need to add zeros when moving the decimal?

Yes! When $ 0.8 $ becomes $ 0.08 $, we add a zero to show the decimal moved. This keeps the place values correct.

Decimal Division with Powers of Ten

$0.8:10=$

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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

00:09 Move the decimal point according to the number of zeros

00:16 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

$0.8:10=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Understand that dividing by 10 shifts the decimal point one place to the left.
Step 2: Apply this knowledge to the number 0.8.

Now, let's work through each step:

Step 1: The number given is $0.8$ . We need to divide this number by 10. When dividing by 10, we shift the decimal point one place to the left.

Step 2: Shifting the decimal point of $0.8$ one place to the left results in $0.08$ .

Therefore, the solution to the problem is $0.08$ .

Final Answer

$0.08$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 shifts decimal point one place left
Technique: Move 0.8's decimal: 0.8 ÷ 10 = 0.08
Check: Multiply back: 0.08 × 10 = 0.8 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point right when dividing by 10 = 8.0 instead of 0.08! This makes the number larger instead of smaller. Always move decimal left when dividing by 10.

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 $0.8$ become $0.08$ , which is indeed smaller!

What if there's no decimal point visible?

Every whole number has an invisible decimal point at the end! For example, 8 is really 8.0, so $8 ÷ 10 = 0.8$ .

How do I remember which direction to move?

Remember: Division makes smaller, multiplication makes bigger. Smaller means move decimal left, bigger means move decimal right.

What about dividing by 100 or 1000?

Same pattern! Dividing by 100 moves decimal two places left, dividing by 1000 moves three places left. The number of zeros tells you how many places to move.

Do I need to add zeros when moving the decimal?

Yes! When $0.8$ becomes $0.08$ , we add a zero to show the decimal moved. This keeps the place values correct.

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