Solve Division Problem: 113.4 ÷ 10 Using Decimal Method

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

Think of it this way: 10 is bigger than 1, so when you divide by something bigger, your answer gets smaller! Moving the decimal left makes the number smaller, which is exactly what should happen.

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, 234 is really 234.0, so dividing by 10 gives you 23.4.

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

Count the zeros! ÷10 (1 zero) = move 1 place left. ÷100 (2 zeros) = move 2 places left. ÷1000 (3 zeros) = move 3 places left.

Q: What if I don't have enough digits to move the decimal?

Add zeros to the left! For example: $ 5.2 ÷ 100 $ becomes $ 0.052 $ by adding a zero before the 5.

Q: Is this the same as the shortcut for multiplying by 0.1?

Yes! Dividing by 10 is exactly the same as multiplying by 0.1. Both operations move the decimal point one place to the left.

Decimal Division with Place Value Movement

$113.4:10=$

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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 According to the number of zeros, move the decimal point

00:18 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

$113.4:10=$

Step-by-step solution

To solve this problem, we need to perform division of the decimal number $113.4$ by $10$ .

Step 1: Understand the operation: Division by $10$ involves moving the decimal point one position to the left.
Step 2: Locate the decimal point in the number $113.4$ . It is between the digits $3$ and $4$ .
Step 3: Move the decimal point one position to the left to divide by $10$ .

By moving the decimal one position to the left, the number $113.4$ becomes $11.34$ .

Therefore, the result of dividing $113.4$ by $10$ is $\mathbf{11.34}$ .

Final Answer

$11.34$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 moves decimal point one position left
Technique: From 113.4, move decimal left to get 11.34
Check: Multiply answer by 10: 11.34 × 10 = 113.4 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point to the right when dividing by 10 = you get 1134 instead! This makes the number bigger when it should be smaller. Always remember: dividing by 10 makes numbers smaller, so move 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?

Think of it this way: 10 is bigger than 1, so when you divide by something bigger, your answer gets smaller! Moving the decimal left makes the number smaller, which is exactly what should happen.

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

Every whole number has an invisible decimal point at the end! For example, 234 is really 234.0, so dividing by 10 gives you 23.4.

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

Count the zeros! ÷10 (1 zero) = move 1 place left. ÷100 (2 zeros) = move 2 places left. ÷1000 (3 zeros) = move 3 places left.

What if I don't have enough digits to move the decimal?

Add zeros to the left! For example: $5.2 ÷ 100$ becomes $0.052$ by adding a zero before the 5.

Is this the same as the shortcut for multiplying by 0.1?

Yes! Dividing by 10 is exactly the same as multiplying by 0.1. Both operations move the decimal point one place to the left.

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