Solve: 2.001 × 100 - Decimal Multiplication Practice

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

When you multiply by a number greater than 1, the result gets bigger! Moving the decimal point right makes the number larger. Think: $ 2.001 \times 100 $ means 'how much is 2.001 taken 100 times?'

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

Add zeros as placeholders! For example, if you need to move $ 3.5 $ three places right, you get $ 3500 $ (adding two zeros).

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

Multiplication by powers of 10: Move right (number gets bigger)Division by powers of 10: Move left (number gets smaller)Bigger numbers = right direction!

Q: Does this work for any power of 10?

Yes! The pattern is simple:$ \times 10 $ = move 1 place right$ \times 100 $ = move 2 places right$ \times 1000 $ = move 3 places rightCount the zeros and that's how many places to move!

Decimal Multiplication with Powers of Ten

$2.001\times100=$

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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

00:09 Move the decimal point as many places as there are 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

$2.001\times100=$

Step-by-step solution

To solve the problem $2.001 \times 100$ , we need to apply the fundamental property of multiplying a decimal number by a power of ten.

Step 1: Identify that $100 = 10^2$ . This means we must move the decimal point in $2.001$ two places to the right.
Step 2: Take the number $2.001$ and move the decimal point two places right:
- Start: $2.001$

20.01

200.1

Thus, the product of $2.001 \times 100$ is $200.1$ .

Therefore, the final answer is $200.1$ , which corresponds to choice 2.

Final Answer

$200.1$

Key Points to Remember

Essential concepts to master this topic

Rule: When multiplying by 100, move decimal point two places right
Technique: Count zeros in 100 (two zeros) = move decimal 2 places: $2.001 \rightarrow 200.1$
Check: Verify by dividing: $200.1 \div 100 = 2.001$ ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong number of places
Don't move the decimal just one place for 2.001 × 100 = 20.01! This ignores that 100 has two zeros. Always count the zeros in powers of ten: 100 has 2 zeros, so move decimal 2 places right.

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 to the right when multiplying?

When you multiply by a number greater than 1, the result gets bigger! Moving the decimal point right makes the number larger. Think: $2.001 \times 100$ means 'how much is 2.001 taken 100 times?'

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

Add zeros as placeholders! For example, if you need to move $3.5$ three places right, you get $3500$ (adding two zeros).

How do I remember which direction to move the decimal?

Multiplication by powers of 10: Move right (number gets bigger)
Division by powers of 10: Move left (number gets smaller)
Bigger numbers = right direction!

Does this work for any power of 10?

Yes! The pattern is simple:

$\times 10$ = move 1 place right
$\times 100$ = move 2 places right
$\times 1000$ = move 3 places right

Count the zeros and that's how many places to move!

What if my answer ends up being a whole number?

That's perfectly normal! Sometimes when you multiply decimals by powers of 10, you get whole numbers. For example: $1.25 \times 100 = 125$ (no decimal point needed).

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