Multiply 2.4 × 100: Decimal and Powers of Ten Calculation

Q: Why does multiplying by 100 move the decimal point?

Because $ 100 = 10^2 $, which means 10 × 10. Each factor of 10 moves the decimal one place right, so two factors move it two places right.

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

Every whole number has an invisible decimal point at the end! For example, 5 is really 5.0, so you can still apply the same rule.

Q: How many places do I move for other powers of ten?

Count the zeros in the number:× 10 (1 zero) = move 1 place right× 100 (2 zeros) = move 2 places right× 1000 (3 zeros) = move 3 places right

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

Add zeros as placeholders! For example: $ 2.4 × 100 $ becomes 2.4 → 24.0 → 240. The zero fills the empty place.

Q: Is this the same as regular multiplication?

Yes! Moving the decimal is just a shortcut for powers of ten. You could also solve $ 2.4 × 100 $ using standard multiplication, but the decimal method is much faster.

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

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

Decimal Multiplication with Powers of Ten

$2.4\times100=$

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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

00:10 Move the decimal point as many places as 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

$2.4\times100=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Recognize that multiplying a decimal by $100$ requires moving the decimal point two places to the right.
Step 2: Apply this rule to the given number $2.4$ .
Step 3: Write down the result after performing the operation.

Now, let's work through each step:
Step 1: The number we are multiplying is $2.4$ .
Step 2: Since $100$ is $10$ raised to the second power ( $10^2$ ), move the decimal point two places to the right. The number $2.4$ becomes $240$ .
Step 3: After moving the decimal, the final result is $240$ .

Therefore, the solution to the problem is $240$ .

Final Answer

$240$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 100 moves decimal point two places right
Technique: From 2.4, move decimal right twice: 2.4 → 24.0 → 240
Check: Count zeros in 100 to know decimal moves: 2 zeros = 2 places ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point left when multiplying by 100 = getting 0.024 instead of 240! Moving left makes numbers smaller, but multiplication should make them larger. 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 does multiplying by 100 move the decimal point?

Because $100 = 10^2$ , which means 10 × 10. Each factor of 10 moves the decimal one place right, so two factors move it two places right.

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

Every whole number has an invisible decimal point at the end! For example, 5 is really 5.0, so you can still apply the same rule.

How many places do I move for other powers of ten?

Count the zeros in the number:

× 10 (1 zero) = move 1 place right
× 100 (2 zeros) = move 2 places right
× 1000 (3 zeros) = move 3 places right

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

Add zeros as placeholders! For example: $2.4 × 100$ becomes 2.4 → 24.0 → 240. The zero fills the empty place.

Is this the same as regular multiplication?

Yes! Moving the decimal is just a shortcut for powers of ten. You could also solve $2.4 × 100$ using standard multiplication, but the decimal method is much faster.

How do I remember which direction to move the decimal?

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

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