Solve Decimal Multiplication: 0.08 × 100 Step-by-Step

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

Multiplying by 100 is the same as multiplying by $ 10^2 $. Each power of 10 moves the decimal one place right, so two powers move it two places!

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

No problem! When you move the decimal point in 0.08, you get 0.8, then 8.0. The final zero can be dropped, giving you simply 8.

Q: How is this different from multiplying by 10?

Multiplying by 10 moves the decimal one place right (0.08 × 10 = 0.8), while multiplying by 100 moves it two places right (0.08 × 100 = 8).

Q: Does this work with any decimal and power of 10?

Yes! Count the zeros in the power of 10, then move the decimal point that many places to the right. For 1000, move three places!

Q: What if my answer looks too simple?

Simple answers are often correct! $ 0.08 \times 100 = 8 $ makes sense because you're making the decimal 100 times larger.

Decimal Multiplication with Powers of Ten

$0.08\times100=$

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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

00:08 Move the decimal point according to the number of zeros

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

$0.08\times100=$

Step-by-step solution

To solve this problem, we will follow these steps:

Step 1: Start with the decimal number 0.08.
Step 2: Recognize that multiplying by 100 is equivalent to moving the decimal point two places to the right.
Step 3: Move the decimal point in 0.08:
- Original: 0.08 (decimal between 0 and 8)
- Move one place: becomes 0.8
- Move another place: becomes 8.0
- Simplify 8.0 to 8

Therefore, multiplying $0.08$ by $100$ gives us $8$ .

Conclusion: The solution to the problem is $8$ . The correct choice from the options given is choice 3.

Final Answer

$8$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 100 moves decimal point two places right
Technique: 0.08 becomes 0.8, then 8.0, simplified to 8
Check: Count decimal moves: 0.08 → 0.8 → 8.0 equals two places ✓

Common Mistakes

Avoid these frequent errors

Adding zeros instead of moving decimal point
Don't just add two zeros to get 0.0800 = wrong answer! This doesn't change the value and ignores the multiplication. Always move the decimal point the correct number of places based on the power 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?

Multiplying by 100 is the same as multiplying by $10^2$ . Each power of 10 moves the decimal one place right, so two powers move it two places!

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

No problem! When you move the decimal point in 0.08, you get 0.8, then 8.0. The final zero can be dropped, giving you simply 8.

How is this different from multiplying by 10?

Multiplying by 10 moves the decimal one place right (0.08 × 10 = 0.8), while multiplying by 100 moves it two places right (0.08 × 100 = 8).

Does this work with any decimal and power of 10?

Yes! Count the zeros in the power of 10, then move the decimal point that many places to the right. For 1000, move three places!

What if my answer looks too simple?

Simple answers are often correct! $0.08 \times 100 = 8$ makes sense because you're making the decimal 100 times larger.

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