Reducing the Decimal 0.4500 to Its Simplest Form

Decimal Simplification with Trailing Zeros

Reduce the following fraction:

0.4500 0.4500

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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:

0.4500 0.4500

2

Step-by-step solution

To reduce 0.4500 0.4500 , remove any trailing zeroes. Thus, 0.4500 0.4500 becomes 0.45 0.45 .

3

Final Answer

0.45 0.45

Key Points to Remember

Essential concepts to master this topic
  • Rule: Trailing zeros after decimal point don't change value
  • Technique: Remove zeros from right: 0.4500 becomes 0.45
  • Check: Verify 0.45 = 0.4500 by adding zeros back ✓

Common Mistakes

Avoid these frequent errors
  • Removing zeros from the wrong position
    Don't remove zeros between digits like changing 0.405 to 0.45 = different number! This changes the actual value completely. Always remove only trailing zeros after the last non-zero digit.

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 the trailing zeros?

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Trailing zeros don't add value! Just like 5.00 equals 5, the decimal 0.4500 0.4500 equals 0.45 0.45 . The zeros at the end are just placeholders.

What's the difference between trailing and leading zeros?

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Trailing zeros come after the last digit (like 0.4500) and can be removed. Leading zeros come before digits (like 0.45) and show decimal place value - never remove these!

Can I remove zeros in the middle of a decimal?

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Never! Zeros between other digits are significant. For example, 0.405 is completely different from 0.45. Only remove zeros at the very end after all other digits.

How do I know when a decimal is fully simplified?

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A decimal is simplified when there are no trailing zeros. The last digit should be non-zero, like 0.45, 0.7, or 0.125.

Does removing trailing zeros change the decimal's value?

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No! 0.4500 0.4500 and 0.45 0.45 represent exactly the same number. It's like writing 'five' or '5' - different forms, same value.

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