Convert Ratio to Decimal: Solving 12:100 = ?

Q: Why does 12:100 mean division?

The colon symbol (:) in ratios means "to" or division. So 12:100 is the same as $ \frac{12}{100} $ or 12 ÷ 100.

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

When dividing by 100, move the decimal two places left. Think: 100 has two zeros, so move left twice. For 10, move left once. For 1000, move left three times.

Q: What if I don't see a decimal point in 12?

Every whole number has an invisible decimal point at the end! So 12 is really 12.0, then moving two places left gives 0.12.

Q: Can I use long division instead?

Yes! You can divide 12 by 100 using long division, but moving the decimal point is much faster for powers of 10 like 10, 100, 1000.

Q: How do I check if 0.12 is correct?

Multiply your answer by the second number: $ 0.12 \times 100 = 12 $. If you get the first number back, you're right!

Ratio to Decimal with Division Method

$12:100=$

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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 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

$12:100=$

Step-by-step solution

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

Step 1: Interpret the division operation and use it.
Step 2: Apply the division method by shifting the decimal.

Now, let's work through each step:
Step 1: The problem gives us the division operation $12:100$ . We can represent this as $\frac{12}{100}$ or $12 \div 100$ .
Step 2: When we divide 12 by 100, we shift the decimal point of 12 two places to the left. The number 12 can be written as 12.0 (with an implied decimal point), so shifting two places gives us 0.12.

Therefore, the result of $12:100$ is $0.12$ .

Final Answer

$0.12$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert ratios to decimals by dividing first number by second
Technique: Divide 12 ÷ 100 by moving decimal point two places left
Check: Multiply result by 100: 0.12 × 100 = 12 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point right when dividing by 100 = 120.0 instead of 0.12! Moving right means multiplying, not dividing. Always move the decimal point left when dividing by powers of 10.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why does 12:100 mean division?

The colon symbol (:) in ratios means "to" or division. So 12:100 is the same as $\frac{12}{100}$ or 12 ÷ 100.

How do I know which way to move the decimal point?

When dividing by 100, move the decimal two places left. Think: 100 has two zeros, so move left twice. For 10, move left once. For 1000, move left three times.

What if I don't see a decimal point in 12?

Every whole number has an invisible decimal point at the end! So 12 is really 12.0, then moving two places left gives 0.12.

Can I use long division instead?

Yes! You can divide 12 by 100 using long division, but moving the decimal point is much faster for powers of 10 like 10, 100, 1000.

How do I check if 0.12 is correct?

Multiply your answer by the second number: $0.12 \times 100 = 12$ . If you get the first number back, you're right!

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