Solve Division Problem: 581.8 ÷ 10 Step-by-Step

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

Dividing makes numbers smaller, so the decimal point moves toward the smaller place values (left). Think of it as the opposite of multiplying by 10, which moves the decimal right.

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

Every whole number has an invisible decimal point at the end! For example, 42 is really 42.0, so 42 ÷ 10 = 4.2.

Q: How many places do I move for different powers of 10?

÷ 10: Move 1 place left÷ 100: Move 2 places left÷ 1000: Move 3 places leftThe number of zeros equals the number of places to move!

Q: What if moving the decimal creates a number that starts with zero?

That's normal! For example, $ 5.81 ÷ 10 = 0.581 $. The zero before the decimal point shows the number is less than 1.

Q: Can I use long division instead of the decimal point rule?

You could, but the decimal point method is much faster and less error-prone! Long division with decimals takes many more steps for the same result.

Decimal Division with Powers of Ten

$581.8:10=$

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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

00:17 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

$581.8:10=$

Step-by-step solution

To solve this problem, we need to divide $581.8$ by $10$ .

Step 1: Identify the decimal point in the number $581.8$ , which is between the $1$ and $8$ .
Step 2: Move the decimal point one place to the left as per the rule of dividing by 10. This step transforms $581.8$ into $58.18$ .
Step 3: Write down the resulting number.

Therefore, when we divide $581.8$ by $10$ , the result is $58.18$ .

Final Answer

$58.18$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 moves the decimal point one place left
Technique: Transform 581.8 → 58.18 by shifting decimal leftward once
Check: Multiply 58.18 × 10 = 581.8 to verify the original number ✓

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 = 5818.0! This multiplies instead of divides, giving an answer 100 times too large. Always remember: division by 10 moves the 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 dividing by 10 move the decimal point left?

Dividing makes numbers smaller, so the decimal point moves toward the smaller place values (left). Think of it as the opposite of multiplying by 10, which moves the decimal right.

What if there's no decimal point visible in the number?

Every whole number has an invisible decimal point at the end! For example, 42 is really 42.0, so 42 ÷ 10 = 4.2.

How many places do I move for different powers of 10?

÷ 10: Move 1 place left
÷ 100: Move 2 places left
÷ 1000: Move 3 places left

The number of zeros equals the number of places to move!

What if moving the decimal creates a number that starts with zero?

That's normal! For example, $5.81 ÷ 10 = 0.581$ . The zero before the decimal point shows the number is less than 1.

Can I use long division instead of the decimal point rule?

You could, but the decimal point method is much faster and less error-prone! Long division with decimals takes many more steps for the same result.

How do I check if my answer is correct?

Multiply your answer by 10. If you get back to the original number, you're right! For example: $58.18 × 10 = 581.8$ ✓

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