Solve Decimal Division: 13.61 ÷ 10 Step by Step

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

When you divide by 10, you're making the number 10 times smaller. Moving the decimal point left reduces each digit's place value by a factor of 10, which is exactly what division by 10 does!

Q: What if I have more or fewer decimal places?

It doesn't matter! The rule stays the same - always move one place left when dividing by 10. If you have $ 5.2 ÷ 10 $, you get $ 0.52 $.

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

Think about size: Division makes numbers smaller, so the decimal moves toward the smaller place values (left). Multiplication makes numbers bigger, so it moves right.

Q: What happens when I divide by 100 or 1000?

Move the decimal point two places left for 100, three places left for 1000. The number of zeros tells you how many places to move!

Decimal Division with Powers of Ten

$13.61:10=$

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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 as many places as there are 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

$13.61:10=$

Step-by-step solution

To solve the problem, we'll use a straightforward approach:

Step 1: Recognize that dividing by 10 moves the decimal point one place to the left.
Step 2: Start with 13.61.
Step 3: Move the decimal point one place left results in 1.361.

Now, let's apply these steps to calculate:

Starting with $13.61$ , when dividing by 10, the decimal moves one position to the left:

$13.61 \rightarrow 1.361$ .

Thus, the solution to the division is $1.361$ .

Final Answer

$1.361$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 moves the decimal point one place left
Technique: Move from 13.61 to 1.361 by shifting decimal left once
Check: Multiply answer by 10: 1.361 × 10 = 13.61 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point right when dividing by 10 = 136.1 instead of 1.361! This happens when confusing division with multiplication. Always remember: dividing by 10 makes numbers smaller, so move decimal left.

Practice Quiz

Test your knowledge with interactive questions

$$ 20.1:10= $$

FAQ

Everything you need to know about this question

Why does dividing by 10 move the decimal point left?

When you divide by 10, you're making the number 10 times smaller. Moving the decimal point left reduces each digit's place value by a factor of 10, which is exactly what division by 10 does!

What if I have more or fewer decimal places?

It doesn't matter! The rule stays the same - always move one place left when dividing by 10. If you have $5.2 ÷ 10$ , you get $0.52$ .

How do I remember which direction to move the decimal?

Think about size: Division makes numbers smaller, so the decimal moves toward the smaller place values (left). Multiplication makes numbers bigger, so it moves right.

What happens when I divide by 100 or 1000?

Move the decimal point two places left for 100, three places left for 1000. The number of zeros tells you how many places to move!

Do I need to add zeros when moving the decimal?

Yes! If moving left creates empty spaces, fill them with zeros. For example: $3.6 ÷ 100 = 0.036$ (added a zero before the 3).

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