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

What part of the whole does the shaded (blue) area represent?

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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