Decimal Comparison: Finding Numbers Less Than 0.91

Decimal Comparison with Hundredths Place

Choose the number that is less than 0.91 0.91 .

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's find the smaller number. Pay attention to each digit.
00:08 Compare the digits carefully, one by one.
00:12 You can always add a zero to the end. It doesn't change the number's value.
00:17 Notice zero is less than one. So, this number is smaller.
00:22 Now, let's check the next number using the same approach.
00:27 This time, three is more than one. So, this number is larger.
00:32 Let's examine the next number again, following the same method.
00:36 The number two is also greater than one. So, it's larger.
00:44 Let's look at the final number.
00:47 We see the numbers are equal!
00:51 And that concludes our problem solving! Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the number that is less than 0.91 0.91 .

2

Step-by-step solution

To determine which answer is correct, let's compare the answers and find out which one is less than 0.91:

Let's look at the answers:

0.9 - If we add 0 we get the number 0.90, since the hundredths digit is 0 and 0 is less than 1, this is the correct answer.

0.93 - Since the hundredths digit is 3 and 3 is greater than 1, this is not the correct answer.

0.92 - Since the hundredths digit is 2 and 2 is greater than 1, this is not the correct answer.

0.91 - Since both numbers are equal to each other, this is not the correct answer.

3

Final Answer

0.9 \text{0}.9

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare digits from left to right, starting with tenths place
  • Technique: Add trailing zeros: 0.9 becomes 0.90 for easier comparison
  • Check: Verify 0.90 < 0.91 by confirming 0 < 1 in hundredths ✓

Common Mistakes

Avoid these frequent errors
  • Thinking 0.9 is greater than 0.91 because 9 > 91
    Don't compare 9 with 91 as whole numbers = backwards thinking! This ignores decimal place value completely. Always compare digit by digit in the same decimal places: 0.90 vs 0.91 shows 0 < 1 in hundredths.

Practice Quiz

Test your knowledge with interactive questions

Which decimal number is greater?

FAQ

Everything you need to know about this question

Why is 0.9 the same as 0.90?

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Adding zeros to the right of a decimal doesn't change its value! Think of it like money: 0.90and0.90 and 0.9 are both 90 cents. The zero just makes comparison easier.

How do I compare decimals with different numbers of digits?

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Add trailing zeros to make them the same length! Compare 0.9 and 0.91 by writing them as 0.90 and 0.91, then compare digit by digit.

What if the tenths digits are the same?

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Move to the hundredths place! For example, when comparing 0.91 and 0.93, both have 9 in tenths, so look at hundredths: 1 vs 3, so 0.91 < 0.93.

Can I use a number line to help?

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Absolutely! On a number line, numbers get larger as you move right. Since 0.9 comes before 0.91, we know 0.9<0.91 0.9 < 0.91 .

What's the fastest way to compare these decimals?

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Line them up by decimal point and add zeros to make equal lengths: 0.90, 0.91, 0.92, 0.93. Now you can easily see which is smallest!

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