Converting the Fraction 2/100 to Decimal Form: Step-by-Step Solution

Q: Why do I move the decimal point left when dividing?

When you divide by powers of 10 (like 100), you're making the number smaller, so the decimal point moves left. Think of it as the opposite of multiplication!

Q: How many places do I move for different denominators?

Count the zeros! For 10 (one zero) move 1 place left. For 100 (two zeros) move 2 places left. For 1000 (three zeros) move 3 places left.

Q: What if my fraction doesn't have enough digits?

Add zeros! For $ \frac{2}{100} $, think of 2 as 2.00, then move the decimal point: 2.00 → 0.02. Zeros help you see where to place the decimal point.

Fraction to Decimal with Division by 100

Write the following fraction as a decimal:

$\frac{2}{100}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

00:03 In a decimal fraction, take the numerator as a number

00:06 According to the denominator, we'll move the decimal point

00:12 When the denominator equals 100, move the decimal point twice to the left

00:22 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

Write the following fraction as a decimal:

$\frac{2}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$2.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.020$

We'll add the zero before the decimal point and get:

$0.020=0.02$

Final Answer

0.02

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 100 moves decimal point two places left
Technique: $\frac{2}{100}$ becomes 2.00 → 0.02
Check: 0.02 × 100 = 2, confirming our decimal conversion ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point only one place left
Don't move the decimal just one place when dividing by 100 = 0.2 instead of 0.02! This happens because 100 has TWO zeros, not one. Always count the zeros in the denominator to know how many places to move left.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

Why do I move the decimal point left when dividing?

When you divide by powers of 10 (like 100), you're making the number smaller, so the decimal point moves left. Think of it as the opposite of multiplication!

How many places do I move for different denominators?

Count the zeros! For 10 (one zero) move 1 place left. For 100 (two zeros) move 2 places left. For 1000 (three zeros) move 3 places left.

What if my fraction doesn't have enough digits?

Add zeros! For $\frac{2}{100}$ , think of 2 as 2.00, then move the decimal point: 2.00 → 0.02. Zeros help you see where to place the decimal point.

Can I just do the division 2 ÷ 100?

Absolutely! Long division gives the same answer: 2 ÷ 100 = 0.02. The decimal point method is just a faster shortcut when dividing by powers of 10.

How do I check if 0.02 is correct?

Multiply your decimal by the original denominator: 0.02 × 100 = 2. Since this equals our original numerator, we know 0.02 is correct!

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