Compare Decimals: Find the Correct Symbol Between 202.1 and 202.01

Decimal Comparison with Place Value Analysis

Fill in the missing sign:

202.1 — 202.01 202.1\text{ }_{—\text{ }}202.01

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the appropriate symbol
00:03 Let's compare the digits between the numbers
00:09 1 is greater than 0 therefore this number is bigger
00:14 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:

202.1 — 202.01 202.1\text{ }_{—\text{ }}202.01

2

Step-by-step solution

Let's compare the numbers in the following way:

We notice that before the decimal point, both numbers start with 202

After the decimal point, we notice that the number is 1 versus 0

Since 1 is greater than 0, the appropriate sign is:

202.1>202.01 202.1 > 202.01

3

Final Answer

> >

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare digits from left to right, place by place
  • Technique: After decimal, compare 1 versus 01: 0.1 > 0.01
  • Check: Convert to same decimal places: 202.10 > 202.01 ✓

Common Mistakes

Avoid these frequent errors
  • Thinking more digits means larger number
    Don't assume 202.01 > 202.1 because it has more digits = wrong comparison! More digits after decimal doesn't mean larger value. Always compare place values: tenths place 1 > hundredths place 0.

Practice Quiz

Test your knowledge with interactive questions

Reduce the following fraction:

\( 0.30 \)

FAQ

Everything you need to know about this question

Why is 202.1 bigger than 202.01?

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Look at the tenths place after the decimal! 202.1 202.1 has 1 tenth, while 202.01 202.01 has 0 tenths and 1 hundredth. Since 1 tenth = 10 hundredths, the first number is larger.

Should I add zeros to make them the same length?

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Yes! Adding trailing zeros helps you compare clearly: 202.10 202.10 vs 202.01 202.01 . Now you can easily see that 10 hundredths > 1 hundredth.

What if the whole number parts are different?

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

How do I remember which symbol to use?

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Think of the symbol as a mouth that eats the bigger number! The wide side opens toward the larger number: 202.1>202.01 202.1 > 202.01 means 202.1 is greater.

Can I just ignore the decimal point?

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Never! Ignoring decimals changes the values completely. 202.1 202.1 and 20201 20201 are totally different numbers. Always keep the decimal in its proper place.

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