Converting the Fraction 9/100 to Decimal Form: Step-by-Step

Q: Why do I move the decimal point 2 places for 100?

Because 100 has 2 zeros! Each zero represents one decimal place. So 100 = move 2 places left, 10 = move 1 place left, 1000 = move 3 places left.

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

Add zeros! For $ \frac{9}{100} $, think of 9 as 9.00, then move the decimal: 9.00 → 0.09. Adding zeros doesn't change the value.

Q: How do I know if I need a zero before the decimal point?

Always include the leading zero when your decimal is less than 1! Write 0.09, not .09. This prevents confusion and follows proper mathematical notation.

Q: Can I just divide 9 by 100 instead?

Yes! $ 9 \div 100 = 0.09 $ gives the same answer. Both methods work - use whichever feels more comfortable to you.

Q: What's the difference between 0.9 and 0.09?

Huge difference! 0.9 = $ \frac{9}{10} $ (9 tenths), while 0.09 = $ \frac{9}{100} $ (9 hundredths). 0.9 is ten times bigger than 0.09!

Fraction to Decimal with Denominator 100

Write the following fraction as a decimal:

$\frac{9}{100}=$

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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

00:10 When the denominator equals 100, move the point two places left

00:16 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:

$\frac{9}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$9.0$

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

$.090$

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

$0.090=0.09$

Final Answer

0.09

Key Points to Remember

Essential concepts to master this topic

Rule: When denominator is 100, move decimal point two places left
Technique: Convert $\frac{9}{100}$ by writing 9 as 9.00, then 0.09
Check: Multiply back: 0.09 × 100 = 9 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point wrong direction or wrong number of places
Don't move the decimal point right or only one place = wrong answer like 90 or 0.9! When dividing by 100, you make the number smaller by moving left exactly 2 places. Always remember: dividing by 100 means move decimal 2 places 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 2 places for 100?

Because 100 has 2 zeros! Each zero represents one decimal place. So 100 = move 2 places left, 10 = move 1 place left, 1000 = move 3 places left.

What if my fraction doesn't have enough digits?

Add zeros! For $\frac{9}{100}$ , think of 9 as 9.00, then move the decimal: 9.00 → 0.09. Adding zeros doesn't change the value.

How do I know if I need a zero before the decimal point?

Always include the leading zero when your decimal is less than 1! Write 0.09, not .09. This prevents confusion and follows proper mathematical notation.

Can I just divide 9 by 100 instead?

Yes! $9 \div 100 = 0.09$ gives the same answer. Both methods work - use whichever feels more comfortable to you.

What's the difference between 0.9 and 0.09?

Huge difference! 0.9 = $\frac{9}{10}$ (9 tenths), while 0.09 = $\frac{9}{100}$ (9 hundredths). 0.9 is ten times bigger than 0.09!

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