Multiply 1.313 by 100: Decimal Place Value Practice

Q: Why do I move the decimal point right when multiplying?

When you multiply by 100, you're making the number larger. Moving the decimal point right increases the value of each digit, just like multiplication should!

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

Count the zeros! 10 has 1 zero = move 1 place. 100 has 2 zeros = move 2 places. 1000 has 3 zeros = move 3 places right.

Q: What if I run out of digits when moving right?

Add zeros as placeholders! For example: $ 1.5 \times 1000 = 1500 $. The zeros fill the empty places after moving the decimal.

Q: Is 131.3 the same as 131.30?

Yes! The trailing zero doesn't change the value. Both equal one hundred thirty-one and three tenths.

Q: Can I just add two zeros to the end instead?

No! Adding zeros to 1.313 gives 1.31300, which equals the original number. You must move the decimal point, not just add zeros.

Decimal Multiplication with Powers of Ten

$1.313\times100=$

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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 according to the number of zeros

00:19 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

$1.313\times100=$

Step-by-step solution

To solve the problem of multiplying $1.313 \times 100$ , we follow these steps:

Step 1: Begin with the number $1.313$ , observing where the decimal point is placed.
Step 2: Multiplying by 100 requires moving the decimal point two places to the right. Initially, the decimal is after the first digit: $1.3\textbf{13}$ .
Step 3: Move the decimal point two places right: after the two shifts ( $1.313 \rightarrow 13.13 \rightarrow 131.3$ ), we identify the new number.

This results in the number being $131.3$ .

Thus, the correct answer is $131.3$ .

Final Answer

$131.3$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 100 moves decimal point two places right
Technique: Start at 1.313, move decimal right twice: 13.13 → 131.3
Check: Count decimal places moved equals zeros in multiplier ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point left when multiplying by 100 = 0.01313 instead of 131.3! Moving left is for division, not multiplication. Always move the decimal point right when multiplying by powers of ten.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why do I move the decimal point right when multiplying?

When you multiply by 100, you're making the number larger. Moving the decimal point right increases the value of each digit, just like multiplication should!

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

Count the zeros! 10 has 1 zero = move 1 place. 100 has 2 zeros = move 2 places. 1000 has 3 zeros = move 3 places right.

What if I run out of digits when moving right?

Add zeros as placeholders! For example: $1.5 \times 1000 = 1500$ . The zeros fill the empty places after moving the decimal.

Is 131.3 the same as 131.30?

Yes! The trailing zero doesn't change the value. Both equal one hundred thirty-one and three tenths.

Can I just add two zeros to the end instead?

No! Adding zeros to 1.313 gives 1.31300, which equals the original number. You must move the decimal point, not just add zeros.

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