Reduce: Simplifying 0.3070 to Its Fraction Form

Decimal Simplification with Trailing Zeros

Reduce the following fraction:

0.3070 0.3070

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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:

0.3070 0.3070

2

Step-by-step solution

The fraction 0.3070 0.3070 can be reduced by removing the trailing zero since trailing zeros do not affect the value of the number. Therefore, we have:

0.3070=0.307 0.3070 = 0.307

3

Final Answer

0.307 0.307

Key Points to Remember

Essential concepts to master this topic
  • Rule: Trailing zeros after decimal point can be removed without changing value
  • Technique: Remove zeros from right: 0.30700.307 0.3070 \rightarrow 0.307
  • Check: Verify both forms equal same value: 0.3070=0.307 0.3070 = 0.307

Common Mistakes

Avoid these frequent errors
  • Removing zeros from the wrong position
    Don't remove zeros from the middle or beginning like changing 0.3070 to 0.37 or 0.370 = wrong value! This changes the actual number. Always remove only trailing zeros from the rightmost position.

Practice Quiz

Test your knowledge with interactive questions

Reduce the following fraction:

\( 0.30 \)

FAQ

Everything you need to know about this question

Why can I remove trailing zeros but not other zeros?

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Trailing zeros are placeholders that don't add value. The zero in 0.3070 is just showing tenths of thousandths place with no actual value, so 0.3070 = 0.307. But zeros in other positions represent actual place values!

What's the difference between 0.307 and 0.37?

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These are completely different numbers! 0.307 means 307 thousandths, while 0.37 means 37 hundredths (or 370 thousandths). Always keep significant digits in their correct place values.

How do I know which zeros to remove?

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Only remove zeros from the very end (rightmost position) after the decimal point. Work from right to left, removing zeros until you reach a non-zero digit or the decimal point itself.

Does this work with whole numbers too?

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No! For whole numbers like 3070, the trailing zero does represent a place value (tens place). Only decimal trailing zeros can be removed because they don't represent actual value.

What if all digits after decimal are zeros?

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If you have something like 5.000, you can simplify it to just 5 (removing the decimal point entirely). The zeros were just showing unnecessary decimal places.

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