Which Decimal is Greater? Essential Math Practice

Decimal Comparison with Equivalent Fractions

Which decimal number is greater?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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
00:08 The digit 3 is bigger than 2, therefore this number is bigger
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:

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

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

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

0.33=33100 0.33=\frac{33}{100}

Now let's compare the numbers in the numerator:

33100>25100 \frac{33}{100}>\frac{25}{100}

Therefore, the larger number is 0.33.

3

Final Answer

0.33 0.33

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare decimals by converting to fractions with same denominators
  • Technique: Convert 0.25 to 25100 \frac{25}{100} and 0.33 to 33100 \frac{33}{100}
  • Check: Compare numerators: 33 > 25, so 0.33 > 0.25 ✓

Common Mistakes

Avoid these frequent errors
  • Comparing digits without considering decimal place value
    Don't just look at the digits 3 and 2 and think 3 > 2 means the first decimal is bigger = wrong comparison! The positions after the decimal point matter. Always align decimal places or convert to fractions with the same denominator.

Practice Quiz

Test your knowledge with interactive questions

Which decimal number is greater?

FAQ

Everything you need to know about this question

Why can't I just compare the digits 33 and 25?

+

Great question! You actually can compare 33 and 25 when both decimals have the same number of decimal places. Since both 0.33 and 0.25 have two decimal places, comparing 33 > 25 works perfectly!

What if the decimals have different numbers of digits?

+

When decimals have different lengths (like 0.3 vs 0.25), add zeros to make them equal length: 0.30 vs 0.25. Now you can safely compare 30 > 25!

Is converting to fractions always necessary?

+

No! Converting to fractions helps you understand why the comparison works. For quick comparisons, just align decimal places and compare digit by digit from left to right.

How do I compare decimals on a number line?

+

Think of a number line: numbers get larger as you move right. Since 0.33 is further right than 0.25, we know 0.33 > 0.25. Visual methods can be very helpful!

What's the fastest way to compare these specific decimals?

+

Since both have two decimal places, just compare the numbers after removing the decimal: 33 vs 25. Since 33 > 25, we know 0.33 > 0.25!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations