Decimal Comparison: Finding the Maximum Value of 0.81

Decimal Comparison with Place Value Analysis

Which of the following numbers is greater in value than 0.81 0.81 :

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the larger number from the given number
00:03 Let's compare the digits of the numbers
00:07 The digit 0 is less than 1, so the number is smaller
00:10 Let's check the next number using the same method
00:15 We can see that the numbers are equal
00:18 Let's check the next number using the same method
00:23 The digit 2 is greater than 1, so the number is larger
00:28 Let's check the next number using the same method
00:33 The digit 0 is less than 1, so the number is smaller
00:41 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

Which of the following numbers is greater in value than 0.81 0.81 :

2

Step-by-step solution

In order to determine the correct answer, let's compare our number with the numbers in the answers:

Let's observe the answers:

0.801 - By adding 0 to our number we can compare 0.801 and 0.810. Given that the hundreds digit is 0 and 0 is less than 1, this is not the correct answer.

0.81 - Due to the fact that both numbers are equal to each other, this is not the correct answer.

0.82 - Since the hundreds digit is 2 and 2 is greater than 1, this is the correct answer

0.802 - Adding 0 to our number we can compare 0.802 to 0.810. Due to the fact that the hundreds digit is 0 and 0 is less than 1, this is not the correct answer.

3

Final Answer

0.82 0.82

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare digits from left to right using place values
  • Technique: Add zeros: 0.81 becomes 0.810 to match 0.801
  • Check: Verify by aligning decimal places: 0.820 > 0.810 ✓

Common Mistakes

Avoid these frequent errors
  • Comparing decimal numbers as whole numbers
    Don't compare 801 vs 82 thinking 801 is bigger = wrong comparison! This ignores decimal point placement completely. Always align decimal points and compare digit by digit from left to right.

Practice Quiz

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Which decimal number is greater?

FAQ

Everything you need to know about this question

Why do we add zeros to the end of decimals when comparing?

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Adding zeros to the end doesn't change the value! 0.81 0.81 equals 0.810 0.810 . This helps us line up place values to compare tenths with tenths, hundredths with hundredths.

How do I know which decimal place to look at first?

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Always start from the leftmost digit after the decimal point (tenths place). If they're equal, move right to hundredths, then thousandths, and so on until you find a difference.

What if the decimals have different numbers of digits?

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No problem! Just imagine zeros at the end of the shorter decimal. For example, treat 0.8 0.8 as 0.800 0.800 when comparing to 0.801 0.801 .

Can I just look at the last digit to compare?

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Never! You must compare from left to right. Even though 1 > 0, we have 0.801<0.81 0.801 < 0.81 because the hundredths place (0 vs 1) determines the comparison.

Why is 0.82 bigger than 0.81?

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Look at the hundredths place: 0.82 0.82 has 2 hundredths while 0.81 0.81 has 1 hundredth. Since 2 > 1, we know 0.82>0.81 0.82 > 0.81 .

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