Decimal Comparison: Finding the Maximum Value of 0.65

Decimal Comparison with Hundredths Place Analysis

Choose the largest number of 0.65 0.65

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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
00:11 The digit 6 is greater than 5, therefore the number is larger
00:14 Let's check the next number using the same method
00:20 We can always add 0 to the right side of the last digit
00:26 The digit 4 is less than 5, therefore the number is smaller
00:29 Let's check the next number using the same method
00:33 We can see that the numbers are equal
00:37 Let's check the next number using the same method
00:43 The digit 4 is less than 5, therefore the number is smaller
00:48 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

Choose the largest number of 0.65 0.65

2

Step-by-step solution

To determine which answer is correct, let's compare the answers to 0.65 and find out which one is larger:

Let's look at the answers:

0.66 - Since the hundredths digit is 6 and 6 is greater than 5, this is the correct answer.

0.749 - In this case, we'll add 0 to our number and compare between 0.650 and 0.749. Since the hundredths digit is 4 and 4 is less than 5, this is not the correct answer.

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

0.64 - Since the hundredths digit is 4 and 4 is less than 5, this is not the correct answer.

3

Final Answer

0.66 0.66

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare decimals digit by digit from left to right
  • Technique: Compare hundredths place: 0.66 vs 0.65, since 6 > 5
  • Check: Verify 0.66 is indeed larger than all other options ✓

Common Mistakes

Avoid these frequent errors
  • Thinking more decimal places means a larger number
    Don't assume 0.645 is larger than 0.66 because it has more digits! Having more decimal places doesn't make a number bigger. Always compare place values systematically from left to right, starting with tenths, then hundredths.

Practice Quiz

Test your knowledge with interactive questions

Which decimal number is greater?

FAQ

Everything you need to know about this question

Why isn't 0.645 the largest since it has the most digits?

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More digits does not mean larger value! Think of it like money: 0.66ismorethan0.66 is more than 0.645. Compare digit by digit: both have 6 in tenths place, but 0.66 has 6 in hundredths while 0.645 has 4 in hundredths.

How do I compare decimals with different numbers of places?

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Add zeros to the end to make them the same length! For example, write 0.65 0.65 as 0.650 0.650 , then compare: 0.660 vs 0.650 vs 0.645 vs 0.640.

What if two decimals look very close?

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Compare each place value carefully! Even tiny differences matter. 0.66 0.66 and 0.65 0.65 differ by only 0.01, but 0.66 is still definitively larger.

Should I always start comparing from the left?

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Yes, always start from the left! Compare tenths place first, then hundredths, then thousandths. This is like comparing whole numbers - you check the biggest place values first.

What does 'largest number of 0.65' mean exactly?

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This means find the number that is greater than 0.65. You're looking for the option that has a value larger than 0.65, not equal to it.

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