Solve: 1.004 × 100 - Decimal Multiplication Practice

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

Think of 100 as $ 10^2 $! Each factor of 10 moves the decimal one place right. Since 100 has two zeros, the decimal moves two places to the right.

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

Add zeros as placeholders! For example, $ 1.2 \times 100 $ becomes $ 120.0 $ or simply 120.

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

Remember: Multiplication makes bigger, so decimal moves right. Division makes smaller, so decimal moves left.

Q: Does this work for other powers of 10?

Yes! Count the zeros: ×10 (1 zero) = move 1 place right×1000 (3 zeros) = move 3 places right×10000 (4 zeros) = move 4 places right

Q: What if my answer has trailing zeros?

You can drop trailing zeros after the decimal point. So $ 100.40 $ becomes $ 100.4 $, but keep zeros that show precision when required!

Decimal Multiplication with Powers of Ten

$1.004\times100=$

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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

00:09 Move the 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

$1.004\times100=$

Step-by-step solution

To solve this mathematical problem, let's carry out the following steps:

Step 1: Identify the initial position of the decimal point in the number. The number is $1.004$ , where the decimal point is after the first digit (1).
Step 2: Multiply by 100. Multiplying a decimal by 100 shifts the decimal point two places to the right.
Step 3: Move the decimal point in $1.004$ two places to the right, changing it from $1.004$ to $100.4$ .

The decimal originally in the thousandths position now moves to the tenths position.

Therefore, the result of multiplying $1.004 \times 100$ is $\boxed{100.4}$ .

Looking at the answer choices, we see that the correct answer corresponds to choice 3, which is $100.4$ .

Final Answer

$100.4$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 100 moves decimal point two places right
Technique: From 1.004 to 100.4 by shifting decimal rightward
Check: Count zeros in 100 equals decimal places moved: 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 = gives 0.01004! This makes the number smaller instead of larger. Always move 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?

Think of 100 as $10^2$ ! Each factor of 10 moves the decimal one place right. Since 100 has two zeros, the decimal moves two places to the right.

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

Add zeros as placeholders! For example, $1.2 \times 100$ becomes $120.0$ or simply 120.

How do I remember which way to move the decimal?

Remember: Multiplication makes bigger, so decimal moves right. Division makes smaller, so decimal moves left.

Does this work for other powers of 10?

Yes! Count the zeros:

×10 (1 zero) = move 1 place right
×1000 (3 zeros) = move 3 places right
×10000 (4 zeros) = move 4 places right

What if my answer has trailing zeros?

You can drop trailing zeros after the decimal point. So $100.40$ becomes $100.4$ , but keep zeros that show precision when required!

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