Decimal Comparison: Find the Symbol Between 0.305 and 0.30

Decimal Comparison with Different Decimal Places


Fill in the missing sign:

0.305 — 0.30 0.305\text{ }_{—\text{ }}0.30

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the appropriate sign
00:03 Let's compare the digits between the numbers
00:08 You can always add more 0s on the right side after the decimal point
00:20 5 is greater than 0 so this number is larger
00:25 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem


Fill in the missing sign:

0.305 — 0.30 0.305\text{ }_{—\text{ }}0.30

2

Step-by-step solution

In order to compare which is greater, we will compare the numbers by adding 0 to 0.30 in the following way:

0.305?0.300 0.305\text{?}0.300

Note that before the decimal point we have 0 in both numbers

After the decimal point in both numbers we have the number 3 and then the number 0

The different numbers are the last numbers 5 and 0

Since 5 is greater than 0 the appropriate sign is:

0.305>0.300 0.305 > 0.300

3

Final Answer

> >

Key Points to Remember

Essential concepts to master this topic
  • Alignment Rule: Add zeros to make decimal places equal before comparing
  • Technique: Convert 0.30 to 0.300, then compare digit by digit
  • Check: Verify 0.305 > 0.300 by seeing 5 > 0 in thousandths place ✓

Common Mistakes

Avoid these frequent errors
  • Thinking shorter decimals are automatically smaller
    Don't assume 0.30 < 0.305 just because it has fewer digits = wrong comparison! The number of decimal places doesn't determine size. Always add trailing zeros to align decimal places, then compare digit by digit from left to right.

Practice Quiz

Test your knowledge with interactive questions

Reduce the following fraction:

\( 0.30 \)

FAQ

Everything you need to know about this question

Why do I need to add zeros to 0.30?

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Adding zeros helps you line up the decimal places for accurate comparison. 0.30=0.300 0.30 = 0.300 , so now you can easily see that 0.305 > 0.300!

Does 0.30 equal 0.300?

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Yes! Adding zeros to the right of a decimal doesn't change its value. 0.30, 0.300, and 0.3000 are all equal - they represent the same amount.

What if the numbers before the decimal are different?

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Always compare the whole number part first! If they're different, the larger whole number wins. Only compare decimal places when the whole numbers are the same.

How do I compare decimals with many different places?

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Use the same alignment method: add zeros to make all decimals have the same number of places, then compare digit by digit from left to right until you find a difference.

Can I just ignore the zeros at the end?

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For the final answer, trailing zeros don't matter (0.30 = 0.3). But during comparison, adding zeros helps you visualize and organize your work correctly.

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