Compare Two Decimals: Which Number is Larger?

Decimal Comparison with Hundredths Place Values

Which decimal number is greater?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Which number is bigger?
00:03 Let's compare the digits between the numbers
00:07 The digit 6 is bigger than 5, therefore this number is bigger
00:11 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:

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

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

0.26 is divided by 100 because there are two digits after the decimal point, so:

0.26=26100 0.26=\frac{26}{100}

Now let's compare the numbers in the numerator:

26100>25100 \frac{26}{100}>\frac{25}{100}

Therefore, the larger number is 0.26.

3

Final Answer

0.26 0.26

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare decimals by aligning decimal points and examining digits
  • Technique: Convert to fractions: 0.26 = 26/100, 0.25 = 25/100
  • Check: Compare numerators when denominators equal: 26 > 25 ✓

Common Mistakes

Avoid these frequent errors
  • Comparing only the first decimal place
    Don't stop at comparing 0.2 vs 0.2 in the tenths place = wrong conclusion! Both have the same tenths digit, so you need to check the hundredths place next. Always examine all decimal places until you find a difference.

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 you see 26100 \frac{26}{100} vs 25100 \frac{25}{100} , it's obvious that 26 > 25.

Can I just look at the numbers after the decimal point?

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Yes, but be careful! When decimals have the same number of places, you can compare 26 vs 25. But if one has more decimal places (like 0.250 vs 0.26), align them first.

What if the decimals have different numbers of digits?

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Add zeros to make them the same length! For example, compare 0.3 and 0.25 by writing them as 0.30 and 0.25, then compare 30 vs 25.

Is there a faster way than converting to fractions?

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Absolutely! Line up the decimal points and compare digit by digit from left to right. Stop at the first place where digits differ - the larger digit wins!

What does 'hundredths place' mean exactly?

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The hundredths place is the second digit after the decimal point. In 0.26, the '6' is in the hundredths place, representing 6100 \frac{6}{100} .

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