Convert Fraction to Decimal: Finding the Decimal Form of 1/100

Q: Why do I move the decimal point left when dividing by 100?

When you divide by 100, you're making the number 100 times smaller. Moving the decimal two places left does exactly that - it makes 1.0 become 0.01.

Q: How many places do I move for different powers of ten?

Count the zeros! 10 has 1 zero = move 1 place left. 100 has 2 zeros = move 2 places left. 1000 has 3 zeros = move 3 places left.

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

Add zeros to the left! For $ \frac{1}{100} $, start with 1.0, then add a zero to get 01.0 so you can move two places left to get 0.01.

Q: Is 0.010 the same as 0.01?

Yes! Trailing zeros after the decimal don't change the value. 0.010 = 0.01 = 0.0100. You can drop zeros at the end for the simplest form.

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

Multiply your decimal by the original denominator. 0.01 × 100 = 1, which matches our original numerator. This confirms our answer is right!

Fraction to Decimal with Division by Powers of Ten

Write the following fraction as a decimal:

$\frac{1}{100}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's convert this to a decimal fraction.

00:09 First, take the numerator as a whole number.

00:13 Then, use the denominator to decide where to place the decimal point.

00:17 If the denominator is one hundred, move the decimal two places left.

00:23 And that's how we solve this 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:

$\frac{1}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$1.0$

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

$.010$

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

$0.010=0.01$

Final Answer

0.01

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by powers of ten moves decimal left
Technique: $\frac{1}{100}$ means 1 ÷ 100, so move decimal two places left
Check: Multiply back: 0.01 × 100 = 1.00 = 1 ✓

Common Mistakes

Avoid these frequent errors

Moving the decimal point the wrong direction
Don't move the decimal point to the right when dividing by 100 = 1.00 instead of 0.01! Division by larger numbers makes values smaller, not bigger. Always move the decimal left when dividing by powers of ten.

Practice Quiz

Test your knowledge with interactive questions

How much of the whole does the shaded area (blue) represent?

FAQ

Everything you need to know about this question

Why do I move the decimal point left when dividing by 100?

When you divide by 100, you're making the number 100 times smaller. Moving the decimal two places left does exactly that - it makes 1.0 become 0.01.

How many places do I move for different powers of ten?

Count the zeros! 10 has 1 zero = move 1 place left. 100 has 2 zeros = move 2 places left. 1000 has 3 zeros = move 3 places left.

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

Add zeros to the left! For $\frac{1}{100}$ , start with 1.0, then add a zero to get 01.0 so you can move two places left to get 0.01.

Is 0.010 the same as 0.01?

Yes! Trailing zeros after the decimal don't change the value. 0.010 = 0.01 = 0.0100. You can drop zeros at the end for the simplest form.

How can I check if my decimal is correct?

Multiply your decimal by the original denominator. 0.01 × 100 = 1, which matches our original numerator. This confirms our answer is right!

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