Convert Decimal 0.17: Finding All Equivalent Representations

Q: What if I wrote 017/100 instead of 17/100?

Leading zeros in the numerator don't change the value! $ \frac{017}{100} = \frac{17}{100} $ because 017 and 17 represent the same number.

Q: How do I remember the place value pattern?

Think of it as: 1 decimal place = tenths (/10)2 decimal places = hundredths (/100)3 decimal places = thousandths (/1000)

Q: Can I check my answer by converting back?

Absolutely! Divide 17 ÷ 100 = 0.17. If you get the original decimal, your fraction conversion is correct!

Decimal Conversion with Place Value Understanding

Convert into fraction form:

$0.17=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

00:03 Match the position of digits after the decimal point to the appropriate division

00:06 Add 0 to the fraction

00:10 Place the digits in the numerator, and the appropriate division in the denominator

00:15 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

Convert into fraction form:

$0.17=$

Step-by-step solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{017}{100}$

Finally we'll remove the unnecessary zeros as follows:

$\frac{17}{100}$

Final Answer

$\frac{17}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Count decimal places to determine denominator power of 10
Technique: Two decimal places means divide by 100, so 0.17 = 17/100
Check: Verify by dividing: 17 ÷ 100 = 0.17 ✓

Common Mistakes

Avoid these frequent errors

Counting decimal places incorrectly
Don't count from the decimal point incorrectly = wrong denominator! Students often use 10 instead of 100 for two-digit decimals. Always count carefully: one place = tenths (/10), two places = hundredths (/100).

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 is 0.17 equal to 17/100 and not 17/10?

The number of decimal places determines the denominator! Since 0.17 has two digits after the decimal point, it represents hundredths, so we use 100 as the denominator.

Do I need to simplify 17/100?

Check if 17 and 100 have any common factors. Since 17 is prime and doesn't divide 100, 17/100 is already in simplest form!

What if I wrote 017/100 instead of 17/100?

Leading zeros in the numerator don't change the value! $\frac{017}{100} = \frac{17}{100}$ because 017 and 17 represent the same number.

How do I remember the place value pattern?

Think of it as:

1 decimal place = tenths (/10)
2 decimal places = hundredths (/100)
3 decimal places = thousandths (/1000)

Can I check my answer by converting back?

Absolutely! Divide 17 ÷ 100 = 0.17. If you get the original decimal, your fraction conversion is correct!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime