Decimal Comparison: Is 0.8 Equal to 0.88?

Decimal Comparison with Place Value Analysis

Are they the same numbers?

0.8=?0.88 0.8\stackrel{?}{=}0.88

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Are the numbers exactly the same?
00:08 You can always add a zero after the last digit. This doesn't change the value.
00:13 Now, let's compare the digits of the numbers.
00:20 Since 8 is greater than zero, the numbers are different.
00:25 And that's the answer to our question!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Are they the same numbers?

0.8=?0.88 0.8\stackrel{?}{=}0.88

2

Step-by-step solution

We will add 0 to the number 0.8 in the following way:

0.8=0.80 0.8=0.80

And we will discover that the numbers are not identical

3

Final Answer

No

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare decimals by aligning place values correctly
  • Technique: Add zeros: 0.8 = 0.80 to match decimal places
  • Check: 0.80 ≠ 0.88 because 80 hundredths ≠ 88 hundredths ✓

Common Mistakes

Avoid these frequent errors
  • Thinking 0.8 equals 0.88 because they look similar
    Don't assume 0.8 = 0.88 just because 8 appears in both = ignoring place values! The first 8 in 0.88 represents hundredths, not tenths. Always align decimal places by adding zeros: 0.8 = 0.80.

Practice Quiz

Test your knowledge with interactive questions

Are they the same numbers?

\( 0.23\stackrel{?}{=}0.32 \)

FAQ

Everything you need to know about this question

Why can I add a zero to 0.8 to make it 0.80?

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Adding zeros to the right of a decimal doesn't change its value! 0.8=0.80=0.800 0.8 = 0.80 = 0.800 because they all represent the same amount. It's like saying 8 tenths = 80 hundredths.

How do I know which decimal is bigger?

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Always compare place by place from left to right. Start with tenths, then hundredths, then thousandths. 0.80 0.80 vs 0.88 0.88 : same tenths (8), but 0 < 8 hundredths.

What if the decimals have different numbers of digits?

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Add zeros to make them the same length! For example, to compare 0.7 and 0.65, write them as 0.70 0.70 and 0.65 0.65 . Now you can easily see that 70 > 65 hundredths.

Can two different-looking decimals ever be equal?

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Yes! 0.5=0.50=0.500 0.5 = 0.50 = 0.500 are all equal because trailing zeros don't change the value. But 0.8 and 0.88 are different because the second 8 in 0.88 adds extra value.

How do I remember the difference between tenths and hundredths?

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Think of money! 0.8 0.8 = 8 dimes (tenths), while 0.88 0.88 = 8 dimes + 8 pennies (hundredths). 8 dimes ≠ 8 dimes + 8 pennies!

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