Solve Decimal Division: 4.61 ÷ 10 Step-by-Step

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

Think of it this way: dividing makes numbers smaller. When you divide by 10, each digit moves to a place value that's 10 times smaller, so the decimal point appears to move left!

Q: What if there aren't enough digits to move the decimal?

Add zeros to the left! For example, if dividing 3.2 by 10, you get 0.32. The zero acts as a placeholder in the ones place.

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

Use this trick: Division makes numbers smaller, so the decimal moves left. Multiplication makes numbers bigger, so it moves right!

Q: What about dividing by 100 or 1000?

÷ 100: Move decimal 2 places left÷ 1000: Move decimal 3 places leftThe number of zeros tells you how many places to move!

Decimal Division with Place Value Shifts

$4.61:10=$

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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

00:09 Move the decimal point by the number of 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

$4.61:10=$

Step-by-step solution

To solve this problem, we need to divide the number 4.61 by 10.

When dividing a decimal by 10, we move the decimal point one place to the left. This is a standard rule of arithmetic for dealing with powers of ten:

Starting decimal: $4.61$
Move the decimal point one place left: $0.461$

Therefore, the result of dividing 4.61 by 10 is $\boxed{0.461}$ .

Final Answer

$0.461$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 moves decimal point one place left
Technique: Move 4.61 decimal left once: 4.61 becomes 0.461
Check: Multiply answer by 10: 0.461 × 10 = 4.61 ✓

Common Mistakes

Avoid these frequent errors

Moving the decimal point the wrong direction
Don't move the decimal point right when dividing by 10 = 46.1! This makes the number bigger instead of smaller. Always remember: dividing by 10 makes numbers smaller, so move the decimal point 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?

Think of it this way: dividing makes numbers smaller. When you divide by 10, each digit moves to a place value that's 10 times smaller, so the decimal point appears to move left!

What if there aren't enough digits to move the decimal?

Add zeros to the left! For example, if dividing 3.2 by 10, you get 0.32. The zero acts as a placeholder in the ones place.

How do I remember which way to move the decimal?

Use this trick: Division makes numbers smaller, so the decimal moves left. Multiplication makes numbers bigger, so it moves right!

Is 4.61 ÷ 10 the same as 4.61 × 0.1?

Yes! Dividing by 10 is exactly the same as multiplying by 0.1. Both give you $0.461$ as the answer.

What about dividing by 100 or 1000?

÷ 100: Move decimal 2 places left
÷ 1000: Move decimal 3 places left
The number of zeros tells you how many places to move!

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