Decimal Comparison: Finding the Maximum Value of 0.751

Decimal Comparison with Three-Digit Precision

Choose the largest number of 0.751 0.751

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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
00:13 The digit 2 is greater than 1, so the number is larger
00:16 Let's check the next number using the same method
00:26 The digit 4 is less than 5, so the number is smaller
00:30 Let's check the next number using the same method
00:33 We can always add 0 to the right side of the last digit
00:41 The digit 0 is less than 1, so the number is smaller
00:44 Let's check the next number using the same method
00:50 We can see that the numbers are equal
00:54 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 0.751 0.751

2

Step-by-step solution

To determine which answer is correct, let's compare the answers to the number 0.751 and find out which one is larger:

Let's look at the answers:

0.752 - Since the thousandths digit is 2 and 2 is greater than 1, this is the correct answer.

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

0.75 - If we add 0 we get the number 0.750, since the thousandths digit is 0 and 0 is less than 1, this is not the correct answer.

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

3

Final Answer

0.752 0.752

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare decimal digits from left to right systematically
  • Technique: Align decimal places: 0.751 vs 0.752, thousandths 1 < 2
  • Check: Convert to equivalent forms: 0.75 = 0.750 < 0.751 ✓

Common Mistakes

Avoid these frequent errors
  • Only comparing the first few digits without checking all places
    Don't stop at 0.75 thinking it equals 0.751 = wrong comparison! This ignores the thousandths place which determines the true value. Always compare every decimal place systematically from left to right.

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 0.75 the same as 0.751?

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0.75 equals 0.750, not 0.751! When comparing decimals, we can add zeros to make the same number of decimal places. Since 0 < 1 in the thousandths place, 0.750 < 0.751.

How do I know which decimal is larger when they look so similar?

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Start from the left and compare digit by digit. For 0.751 0.751 vs 0.752 0.752 , the tenths (7) and hundredths (5) are the same, but in thousandths: 1 < 2, so 0.752 is larger.

What if one decimal has fewer digits than another?

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Add zeros to the right to make them equal length! For example: 0.75 becomes 0.750. This doesn't change the value but makes comparison easier.

Can I use a number line to help compare decimals?

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Yes! Place the decimals on a number line. Numbers further to the right are larger. 0.749<0.75<0.751<0.752 0.749 < 0.75 < 0.751 < 0.752

Why can't 0.751 be larger than itself?

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The question asks for a number larger than 0.751, not equal to it. Since 0.751 = 0.751, it's not greater than itself. We need a number that's actually bigger.

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