Convert 4/100 to Decimal: Step-by-Step Fraction Translation

Q: Why does 4/100 equal 0.04 and not 0.4?

The denominator 100 means hundredths place! Since 100 has 2 zeros, you move the decimal point 2 places to the left. Moving only 1 place gives you tenths (0.4), which is wrong.

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

When converting a fraction to decimal, always move left! Count the zeros in the denominator - that's how many places to move. 100 has 2 zeros, so move 2 places left.

Q: What if I get confused about place values?

Think of it this way: $ \frac{4}{100} $ means "4 hundredths." In decimal form, hundredths go in the second place after the decimal point: 0.04.

Q: Do I need to write trailing zeros like 0.040?

No! While $ 0.040 $ equals $ 0.04 $, you can drop trailing zeros after the decimal point. The simplest form is 0.04.

Q: How can I check if my decimal answer is correct?

Multiply your decimal by the original denominator: $ 0.04 \times 100 = 4 $. If you get the original numerator, you're right!

Fraction to Decimal with Place Value

Write the following fraction as a decimal:

$\frac{4}{100}=$

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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, move the decimal point

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

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

Write the following fraction as a decimal:

$\frac{4}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$4.0$

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

$.040$

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

$0.040=0.04$

Final Answer

0.04

Key Points to Remember

Essential concepts to master this topic

Rule: Denominator of 100 means hundredths place for decimal
Technique: Move decimal point 2 places left: 4.0 → 0.04
Check: Convert back: 0.04 × 100 = 4 ✓

Common Mistakes

Avoid these frequent errors

Writing 0.4 instead of 0.04
Don't move the decimal point only 1 place left = 0.4! This treats 100 as 10 and gives ten times the correct value. Always move the decimal point 2 places left for denominators of 100.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{1}{100}=$

FAQ

Everything you need to know about this question

Why does 4/100 equal 0.04 and not 0.4?

The denominator 100 means hundredths place! Since 100 has 2 zeros, you move the decimal point 2 places to the left. Moving only 1 place gives you tenths (0.4), which is wrong.

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

When converting a fraction to decimal, always move left! Count the zeros in the denominator - that's how many places to move. 100 has 2 zeros, so move 2 places left.

What if I get confused about place values?

Think of it this way: $\frac{4}{100}$ means "4 hundredths." In decimal form, hundredths go in the second place after the decimal point: 0.04.

Do I need to write trailing zeros like 0.040?

No! While $0.040$ equals $0.04$ , you can drop trailing zeros after the decimal point. The simplest form is 0.04.

How can I check if my decimal answer is correct?

Multiply your decimal by the original denominator: $0.04 \times 100 = 4$ . If you get the original numerator, you're right!

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