Compare Decimal Numbers: Is 0.12 > 0.10 on the Number Line?

Q: What if the decimals have different numbers of digits?

Add zeros to make them the same length! Compare 0.12 and 0.1: write 0.1 as 0.10, then compare. The extra zero doesn't change the value but makes comparison easier.

Q: Can I use the number line for all decimal comparisons?

Absolutely! The number line is perfect for visualizing decimal order. Numbers get larger as you move right and smaller as you move left. It never lies!

Q: What's the difference between 0.1 and 0.01?

$ 0.1 $ is 1 tenth while $ 0.01 $ is 1 hundredth. Since 1 tenth = 10 hundredths, $ 0.1 $ is much larger than $ 0.01 $!

Decimal Comparison with Number Line Visualization

Determine the appropriate sign according to the number line:

$0.12?0.10$

❤️ 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

00:10 First, pick the right sign to use.

00:13 We'll look at the number line to find two numbers.

00:16 If a number is left of another, it is smaller. If right, it's larger.

00:22 Let's find where our number is compared to the second one.

00:26 And that's how we solve the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Determine the appropriate sign according to the number line:

$0.12?0.10$

Step-by-step solution

Let's compare the two numbers after the decimal point, which are 12 versus 10

Therefore:

$0.12>0.10$

Final Answer

$>$

Key Points to Remember

Essential concepts to master this topic

Rule: On number lines, numbers to the right are greater
Technique: Compare decimal places: 0.12 has 12 hundredths vs 0.10's 10 hundredths
Check: Locate both numbers on the number line: 0.12 is right of 0.10 ✓

Common Mistakes

Avoid these frequent errors

Thinking 0.10 is greater because it has more digits
Don't assume 0.10 > 0.12 because it has more visible digits = completely wrong! The zero at the end doesn't add value, it just shows place value. Always compare the actual decimal place values: 12 hundredths vs 10 hundredths.

Practice Quiz

Test your knowledge with interactive questions

Which decimal number is greater?

FAQ

Everything you need to know about this question

Why does 0.10 equal 0.1 but not 0.12?

Trailing zeros after the decimal point don't change the value! $0.10 = 0.1$ because both represent 1 tenth. But $0.12$ is different - it's 12 hundredths, which is more than 10 hundredths.

How do I compare decimals without a number line?

Line up the decimal points and compare digit by digit from left to right. 0.12 vs 0.10: same tenths place (1), but hundredths place has 2 vs 0, so 0.12 is greater!

What if the decimals have different numbers of digits?

Add zeros to make them the same length! Compare 0.12 and 0.1: write 0.1 as 0.10, then compare. The extra zero doesn't change the value but makes comparison easier.

Can I use the number line for all decimal comparisons?

Absolutely! The number line is perfect for visualizing decimal order. Numbers get larger as you move right and smaller as you move left. It never lies!

What's the difference between 0.1 and 0.01?

$0.1$ is 1 tenth while $0.01$ is 1 hundredth. Since 1 tenth = 10 hundredths, $0.1$ is much larger than $0.01$ !

🌟 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