Solve Decimal Division: 0.061 ÷ 10 Step-by-Step

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

When you divide by 10, you're making the number 10 times smaller. Moving the decimal point left makes each digit worth less, which creates a smaller number!

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

That's totally normal! When moving $ 0.061 $ left, we need to add a zero to get $ 0.0061 $. Always add zeros as placeholders when needed.

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

Use this trick: Dividing makes smaller, so move LEFT. Multiplying makes bigger, so move RIGHT. Division = LEFT, Multiplication = RIGHT!

Q: Is 0.0061 the same as 0.006100?

Yes! Adding zeros to the right of a decimal doesn't change its value. $ 0.0061 = 0.006100 = 0.00610 $ - they're all equal.

Q: Can I check my answer by multiplying?

Absolutely! Since division and multiplication are opposite operations, multiply your answer by 10. If you get back to the original number, you're correct!

Decimal Division with Place Value Movement

$0.061:10=$

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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

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

00:20 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

$0.061:10=$

Step-by-step solution

To solve the problem, we will use the rule for dividing a decimal by $10$ , which requires moving the decimal point one position to the left:

Identify the current decimal position in the number $0.061$ , which is between the zero and six in $0.061$ .
Move the decimal point one position to the left to divide by $10$ .
After moving, the decimal point between $0$ and $6$ is positioned before the first $0$ , resulting in $0.0061$ .

Thus, the result of dividing $0.061$ by $10$ is $\mathbf{0.0061}$ .

The correct choice among the given options is Choice 2 with the value $0.0061$

Final Answer

$0.0061$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 moves decimal point one position left
Technique: From 0.061, move decimal left to get 0.0061
Check: Multiply back: $0.0061 \times 10 = 0.061$ ✓

Common Mistakes

Avoid these frequent errors

Moving the decimal point in the wrong direction
Don't move the decimal point to the right when dividing by 10 = multiplying instead! This gives 0.61 instead of 0.0061. Always remember: dividing by 10 makes numbers smaller, so move decimal LEFT.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why does the decimal point move left when dividing by 10?

When you divide by 10, you're making the number 10 times smaller. Moving the decimal point left makes each digit worth less, which creates a smaller number!

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

That's totally normal! When moving $0.061$ left, we need to add a zero to get $0.0061$ . Always add zeros as placeholders when needed.

How do I remember which way to move the decimal?

Use this trick: Dividing makes smaller, so move LEFT. Multiplying makes bigger, so move RIGHT. Division = LEFT, Multiplication = RIGHT!

Is 0.0061 the same as 0.006100?

Yes! Adding zeros to the right of a decimal doesn't change its value. $0.0061 = 0.006100 = 0.00610$ - they're all equal.

Can I check my answer by multiplying?

Absolutely! Since division and multiplication are opposite operations, multiply your answer by 10. If you get back to the original number, you're correct!

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