Reduce Decimal 0.10200 to Simplified Fraction Form

Decimal Simplification with Trailing Zeros

Reduce the following fraction:

0.10200 0.10200

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Reduce the following fraction:

0.10200 0.10200

2

Step-by-step solution

To simplify 0.10200 0.10200 , remove all trailing zeroes, which gives 0.102 0.102 .

3

Final Answer

0.102 0.102

Key Points to Remember

Essential concepts to master this topic
  • Rule: Remove trailing zeros after decimal point for simplest form
  • Technique: Read from left to right, drop zeros at end: 0.102000.102 0.10200 \rightarrow 0.102
  • Check: Verify that 0.10200=0.102 0.10200 = 0.102 by confirming same value ✓

Common Mistakes

Avoid these frequent errors
  • Removing zeros from the middle or beginning of decimals
    Don't remove zeros like changing 0.102 to 0.12 = completely different value! Trailing zeros are only the zeros at the very end after the decimal. Always keep all zeros that come before or between non-zero digits.

Practice Quiz

Test your knowledge with interactive questions

Reduce the following fraction:

\( 0.30 \)

FAQ

Everything you need to know about this question

What exactly are trailing zeros in decimals?

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Trailing zeros are zeros that appear at the end of a decimal number after all other digits. In 0.10200 0.10200 , the last two zeros are trailing zeros that can be removed.

Why can I remove trailing zeros but not other zeros?

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Trailing zeros don't change the value of a decimal, just like writing $5.00 is the same as $5. But zeros between digits or before the last non-zero digit are significant and change the value!

Is 0.102 really the same as 0.10200?

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Yes! Both represent the exact same value. Think of it like money: $0.10200 and $0.102 both mean 10.2 cents. The extra zeros don't add any value.

How do I know when I've simplified enough?

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Stop when there are no more zeros at the end after the decimal point. Your decimal should end with a non-zero digit. For example: 0.102 0.102 ends with 2, so it's fully simplified.

Can I remove the zero before the decimal point?

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Never! The zero before the decimal point in 0.102 0.102 is important - it shows the number is less than 1. Without it, .102 looks incomplete and can be confusing.

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