Decimal Comparison: Find the Symbol Between 0.35 and 0.135

Q: Do I always need to add zeros to compare decimals?

Adding zeros helps visualize the comparison: $ 0.350 $ vs $ 0.135 $. It's not required, but it makes comparing much easier when you line up the decimal places!

Q: Can I convert to fractions to compare instead?

Yes! $ 0.35 = \frac{35}{100} $ and $ 0.135 = \frac{135}{1000} $. Convert to same denominator: $ \frac{350}{1000} > \frac{135}{1000} $, but comparing decimals directly is usually faster.

Decimal Comparison with Tenths Place Analysis

Fill in the missing sign:

$0.35\text{ }_{—\text{ }}0.135$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 First, choose the right sign for the numbers.

00:11 Next, let's look closely at the digits in each number.

00:20 Since 3 is greater than 1, this number is larger.

00:25 And that's how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Fill in the missing sign:

$0.35\text{ }_{—\text{ }}0.135$

Step-by-step solution

To compare which is greater, we'll compare the numbers by adding 0 to 0.35 as follows:

$0.350\text{?}0.135$

We should notice that before the decimal point, we have 0 in both numbers.

After the decimal point, we have 3 compared to 1.

Since 3 is greater than 1, the appropriate sign is:

$0.350 > 0.135$

Final Answer

$>$

Key Points to Remember

Essential concepts to master this topic

Rule: Compare decimal places from left to right systematically
Technique: Align decimal points: 0.350 vs 0.135, then compare digits
Check: Verify 0.35 = 35 hundredths > 13.5 hundredths = 0.135 ✓

Common Mistakes

Avoid these frequent errors

Thinking more digits means bigger number
Don't assume 0.135 > 0.35 because 135 > 35 = wrong comparison! You're comparing whole numbers, not decimals. Always compare decimal place values starting from the tenths place.

Practice Quiz

Test your knowledge with interactive questions

Reduce the following fraction:

$$ 0.30 $$

FAQ

Everything you need to know about this question

Why does 0.35 have fewer digits but is still bigger?

The number of digits after the decimal doesn't determine size! 0.35 means 35 hundredths, while 0.135 means only 13.5 hundredths. Think of it like money: $0.35 is more than$ 0.135.

Do I always need to add zeros to compare decimals?

Adding zeros helps visualize the comparison: $0.350$ vs $0.135$ . It's not required, but it makes comparing much easier when you line up the decimal places!

What if the first decimal place is the same?

Move to the next decimal place! For example, if comparing 0.37 and 0.35, both have 3 in the tenths place, so compare the hundredths: 7 > 5, so 0.37 > 0.35.

How can I remember which symbol means greater than?

Think of the symbol as a hungry mouth that always wants to eat the bigger number! The wide opening points toward the larger value: $0.35 > 0.135$

Can I convert to fractions to compare instead?

Yes! $0.35 = \frac{35}{100}$ and $0.135 = \frac{135}{1000}$ . Convert to same denominator: $\frac{350}{1000} > \frac{135}{1000}$ , but comparing decimals directly is usually faster.

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