Convert 0.99000 to Its Simplest Fraction Form

Decimal Reduction with Trailing Zeros

Reduce the following fraction:

0.99000 0.99000

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Step-by-step written solution

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1

Understand the problem

Reduce the following fraction:

0.99000 0.99000

2

Step-by-step solution

To reduce the decimal fraction 0.99000 0.99000 , trailing zeros are removed. Therefore, 0.99000 0.99000 simplifies to 0.99 0.99 . Hence, the reduced fraction is 0.99 0.99 .

3

Final Answer

0.99 0.99

Key Points to Remember

Essential concepts to master this topic
  • Rule: Trailing zeros after decimal point don't change the value
  • Technique: Remove zeros from right: 0.990000.99 0.99000 \rightarrow 0.99
  • Check: Verify both decimals equal same value: 0.99000=0.99 0.99000 = 0.99

Common Mistakes

Avoid these frequent errors
  • Removing zeros from the wrong position
    Don't remove zeros between the decimal point and significant digits = changes the value completely! For example, 0.909 ≠ 0.99. Always remove only trailing zeros that come after all significant 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's the difference between trailing zeros and other zeros?

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Trailing zeros come at the very end after all other digits (like in 0.99000). These can be removed safely. Other zeros that appear between digits or right after the decimal point cannot be removed because they show place value.

Why can I remove trailing zeros from decimals?

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Trailing zeros don't change the value! Think of money: 0.99000and0.99000 and 0.99 both represent 99 cents. The extra zeros just show more precision but don't add value.

How do I know which zeros I can remove?

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Only remove zeros that come after all non-zero digits at the end. In 0.99000, the last three zeros can go. But in 0.90900, you can only remove the final two zeros, giving 0.909.

Is 0.99 the same as a fraction?

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Yes! 0.99=99100 0.99 = \frac{99}{100} . Both represent the same value, just in different forms. The decimal 0.99 is already in its simplest decimal form after removing trailing zeros.

What if all my decimal places are zeros?

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If you have something like 5.000, you can remove all trailing zeros to get 5 (a whole number). The decimal point isn't needed when there are no non-zero decimal places.

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