Compare and Identify: Finding the Larger Decimal Number

Decimal Comparison with Place Value Analysis

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?
00:04 Let's compare the digits between the numbers
00:15 The digit 5 is bigger than 0, therefore this number is bigger
00:20 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 first convert the decimal numbers into simple fractions and compare them:

0.2 is divided by 10 because there is only one digit after the decimal point, therefore:

0.2=210 0.2=\frac{2}{10}

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 finally compare the fractions:

25100>210 \frac{25}{100}>\frac{2}{10}

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 aligning decimal points and place values
  • Technique: Convert to fractions: 0.2 = 2/10, 0.25 = 25/100
  • Check: Add zeros to make same length: 0.20 vs 0.25 ✓

Common Mistakes

Avoid these frequent errors
  • Thinking more digits means smaller number
    Don't assume 0.2 > 0.25 because 2 > 25 = wrong comparison! You're comparing whole numbers instead of decimal values. Always compare by place value position, not digit count.

Practice Quiz

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Which decimal number is greater?

FAQ

Everything you need to know about this question

Why is 0.25 bigger than 0.2 when 2 is bigger than 25?

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Great question! You're thinking of whole numbers, but decimals work differently. Think of it as quarters vs dimes: 25 cents (0.25) is more than 20 cents (0.20)!

How do I compare decimals with different numbers of digits?

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Add zeros to the end to make them the same length! 0.2 becomes 0.20, so you're comparing 0.20 vs 0.25. Now it's clear that 25 > 20.

Is converting to fractions always necessary?

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Not always! Converting to fractions like 210 \frac{2}{10} and 25100 \frac{25}{100} helps you understand why one decimal is larger, but you can also just align decimal points.

What if the decimals have many digits?

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The same rules apply! Start from the left after the decimal point and compare digit by digit. The first position where digits differ tells you which number is larger.

Can I use a number line to compare decimals?

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Absolutely! Place both numbers on a number line. 0.25 will be to the right of 0.2, showing it's larger. Visual methods often make decimal comparison clearer!

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