Decimal Comparison: Finding the Maximum Value of 0.71

Decimal Comparison with Hundredths Place Values

Select which of the following numbers is greater in value than 0.71 0.71 :

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the number larger than the given number
00:04 Let's compare the digits of the numbers
00:11 The digit 0 is less than 1, therefore the number is smaller
00:14 Let's check the next number, using the same method
00:18 We can see that the numbers are equal
00:21 Let's check the next number, using the same method
00:24 The digit 2 is greater than 1, therefore the number is larger
00:30 Let's check the next number, using the same method
00:34 The digit 0 is less than 1, therefore the number is smaller
00:38 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

Select which of the following numbers is greater in value than 0.71 0.71 :

2

Step-by-step solution

In order to determine the correct answer, compare the values in order to determine the largest number:

Let's observe the answers:

0.701 - By adding 0 to our number we are able to compare 0.701 to 0.710. Given that the hundreds digit is 0 and 0 is less than 1, this is not the correct answer.

0.71 - We'll once again add 0 to compare 0.710 to 0.710. Since both numbers are equal, this is not the correct answer.

0.72 - We'll add 0 and compare 0.720 to 0.710. Due to the fact that the hundreds digit is 2 and 2 is greater than 1, this is the correct answer

0.702 - We'll add another 0 to our number and compare 0.702 to 0.710, since the hundreds digit is 0 and 0 is less than 1, this is not the correct answer.

3

Final Answer

0.72 0.72

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare decimals digit by digit from left to right
  • Technique: Add zeros to make equal places: 0.71 = 0.710
  • Check: Verify 0.72 > 0.710 by comparing hundredths place: 2 > 1 ✓

Common Mistakes

Avoid these frequent errors
  • Thinking more decimal places means larger value
    Don't assume 0.701 > 0.71 because it has more digits = wrong comparison! More decimal places doesn't mean larger value. Always compare place by place, starting from the left after the decimal point.

Practice Quiz

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Which decimal number is greater?

FAQ

Everything you need to know about this question

Why does 0.71 equal 0.710?

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Adding zeros to the right of a decimal doesn't change its value! Think of it like money: 0.71isthesameas0.71 is the same as 0.710 - both are 71 cents.

How do I compare decimals with different numbers of digits?

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Make them the same length by adding zeros to the right. Then compare digit by digit from left to right, just like comparing whole numbers!

What if the tenths place is the same?

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Move to the hundredths place and compare those digits. If they're still equal, keep moving right to the thousandths place, and so on.

Is 0.702 bigger than 0.71?

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No! Compare: 0.702 vs 0.710. The tenths are equal (7=7), but in hundredths place: 0 < 1, so 0.702<0.710 0.702 < 0.710 .

Why can't I just count the decimal places?

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Decimal places tell you precision, not size! 0.9 0.9 is much larger than 0.0001 0.0001 even though 0.0001 has more decimal places.

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