Compare Decimals: Is 0.6 Equal to 0.60? Exploring Number Equality

Q: Why does 0.6 equal 0.60 if they look different?

They look different but represent the same amount! Think of it like saying "6 tenths" versus "60 hundredths" - both equal $ \frac{6}{10} $.

Q: Can I add as many zeros as I want after the decimal?

Yes! You can write 0.6 as 0.60, 0.600, or 0.6000 - they're all equal. The zeros after the last significant digit don't change the value.

Q: What's the difference between 0.6 and 0.06?

Big difference! 0.6 is 6 tenths, but 0.06 is 6 hundredths. The position of digits after the decimal point matters a lot!

Decimal Equality with Trailing Zeros

Are they the same numbers?

$0.6\stackrel{?}{=}0.60$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 First, let's check if the numbers are the same.

00:10 Remember, you can always add a zero after the last digit on the right.

00:15 It looks like the numbers are equal now.

00:19 Great job! That's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Are they the same numbers?

$0.6\stackrel{?}{=}0.60$

Step-by-step solution

We will add 0 to the number 0.6 in the following way:

$0.6=0.60$

And we will discover that the numbers are identical

Final Answer

Yes

Key Points to Remember

Essential concepts to master this topic

Rule: Trailing zeros after decimal point don't change value
Technique: Add zeros to match decimal places: 0.6 = 0.60
Check: Both numbers represent 6 tenths on number line ✓

Common Mistakes

Avoid these frequent errors

Thinking more digits means larger number
Don't assume 0.60 is bigger than 0.6 because it has more digits = wrong comparison! The extra zero is just a placeholder. Always remember that trailing zeros don't change the decimal's value.

Practice Quiz

Test your knowledge with interactive questions

Which decimal number is greater?

FAQ

Everything you need to know about this question

Why does 0.6 equal 0.60 if they look different?

They look different but represent the same amount! Think of it like saying "6 tenths" versus "60 hundredths" - both equal $\frac{6}{10}$ .

Can I add as many zeros as I want after the decimal?

Yes! You can write 0.6 as 0.60, 0.600, or 0.6000 - they're all equal. The zeros after the last significant digit don't change the value.

How do I know which decimal is bigger when they have different numbers of digits?

Compare digit by digit from left to right! Add zeros to make them the same length: 0.6 becomes 0.60, then compare 6 tenths with 6 tenths.

What's the difference between 0.6 and 0.06?

Big difference! 0.6 is 6 tenths, but 0.06 is 6 hundredths. The position of digits after the decimal point matters a lot!

When should I write extra zeros in my answer?

Follow your teacher's instructions! Sometimes you need to show a specific number of decimal places, like writing 0.60 instead of 0.6 for consistency.

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