Decimal Place Value Challenge: Finding the Greater Number

Decimal Comparison with Hundredths Values

Which decimal number is greater?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:02 Can you guess which number is bigger?
00:06 Let's look at the digits to compare the numbers.
00:10 See here, the digit four is bigger than three, which means this number is larger.
00:16 And that's how we solve this 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

Firstly, let's convert the decimal numbers into simple fractions and compare them:

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

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

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

0.34=34100 0.34=\frac{34}{100}

Then we can compare the numbers in the numerator:

34100>33100 \frac{34}{100}>\frac{33}{100}

Therefore, the larger number is 0.34.

3

Final Answer

0.34

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Compare digits from left to right systematically
  • Technique: Convert to fractions: 0.33 = 33100 \frac{33}{100} , 0.34 = 34100 \frac{34}{100}
  • Check: Since 34 > 33, then 34100>33100 \frac{34}{100} > \frac{33}{100} , so 0.34 > 0.33 ✓

Common Mistakes

Avoid these frequent errors
  • Comparing only the last digit without considering place value
    Don't just look at 3 vs 4 in the last position = wrong reasoning! You might think any number ending in 4 is bigger, but place value matters more. Always compare digits in the same decimal place systematically from left to right.

Practice Quiz

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Which decimal number is greater?

FAQ

Everything you need to know about this question

Why can't I just look at which number has more digits after the decimal?

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Both 0.33 and 0.34 have the same number of decimal places (two), so this method doesn't help here. You need to compare the actual values of the digits in each place.

Do I always need to convert to fractions to compare decimals?

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Not always! Converting to fractions with the same denominator is one clear method, but you can also compare place by place: tenths first (both have 3), then hundredths (3 vs 4).

What if one decimal has more places than the other?

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Add zeros to make them equal length! For example: 0.5 vs 0.47 becomes 0.50 vs 0.47. Now compare: 5 > 4 in the hundredths place, so 0.50 > 0.47.

How do I remember which decimal is bigger?

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Think of money! 0.34 = 34 cents and 0.33 = 33 cents. You'd rather have 34 cents than 33 cents, so 0.34 > 0.33!

Can I use a number line to help?

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Absolutely! On a number line, numbers get bigger as you move right. Since 0.34 is to the right of 0.33, it's the larger number.

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