Decimal Number Comparison: Determining the Greater Value

Decimal Comparison with Hundredths Place

Which decimal number is greater?

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Step-by-step video solution

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00:00 Which number is larger?
00:04 Let's compare the digits between the numbers
00:09 The digit 5 is larger than 4, therefore this number is larger
00:12 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 decimal number is greater?

2

Step-by-step solution

Let's convert the decimal numbers into simple fractions and compare them:

0.24 is divided by 100 because there are two digits after the decimal point, therefore:

0.24=24100 0.24=\frac{24}{100}

0.25 is divided by 100 because there are two digits after the decimal point, therefore:

0.25=25100 0.25=\frac{25}{100}

Let's now compare the numbers in the numerator:

25100>24100 \frac{25}{100}>\frac{24}{100}

Therefore, the larger number is 0.25.

3

Final Answer

0.25 0.25

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare decimals by examining each place value from left to right
  • Technique: Convert to fractions: 0.24 = 24100 \frac{24}{100} and 0.25 = 25100 \frac{25}{100}
  • Check: Since 25 > 24 in numerators with same denominator, 0.25 > 0.24 ✓

Common Mistakes

Avoid these frequent errors
  • Comparing only the last digit without considering place value
    Don't just look at 4 vs 5 and think 0.24 > 0.25 because 4 < 5 = wrong comparison! This ignores that both digits are in the same hundredths place. Always compare the actual decimal values: 0.24 means 24 hundredths while 0.25 means 25 hundredths.

Practice Quiz

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Which decimal number is greater?

FAQ

Everything you need to know about this question

Why do we convert decimals to fractions to compare them?

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Converting to fractions makes comparison crystal clear! When both decimals have the same denominator like 24100 \frac{24}{100} and 25100 \frac{25}{100} , you just compare the numerators: 25 > 24.

Can I compare decimals without converting to fractions?

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Absolutely! Line up the decimal points and compare digit by digit from left to right. Since 0.24 and 0.25 have the same tenths digit (2), check hundredths: 5 > 4, so 0.25 > 0.24.

What if the decimals have different numbers of digits?

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Add zeros to the right to make them equal length! For example, 0.3 vs 0.25 becomes 0.30 vs 0.25. Now compare: 30 hundredths > 25 hundredths.

How can I remember which decimal is bigger?

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Think of money! 0.25 is 25 cents and 0.24 is 24 cents. You'd rather have 25 cents than 24 cents, so 0.25 > 0.24.

Do I always need to write fractions with 100 in the denominator?

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Not always! Use the place value that matches your decimal. For 0.7 vs 0.8, use tenths: 710 \frac{7}{10} vs 810 \frac{8}{10} . For 0.24 vs 0.25, use hundredths since both go to the hundredths place.

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