Comparing Decimals: Is 0.23 Equal to 0.32?

Decimal Place Values with Different Digits

Are they the same numbers?

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

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1

Understand the problem

Are they the same numbers?

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

2

Step-by-step solution

Let's observe the numbers after the decimal point.

Due to the fact that 23 and 32 are not identical, the numbers cannot be considered as the same number.

3

Final Answer

No

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Each decimal position has unique value significance
  • Technique: Compare digit by digit: 0.23 has 2 tenths, 0.32 has 3 tenths
  • Check: Line up decimal points and compare each position left to right ✓

Common Mistakes

Avoid these frequent errors
  • Thinking digit order doesn't matter in decimals
    Don't assume 0.23 equals 0.32 because both have digits 2 and 3 = wrong answer! Place value determines the actual value of each digit. Always compare decimals position by position from left to right.

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 aren't 0.23 and 0.32 the same if they have the same digits?

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Because place value matters! In 0.23, the 2 is in the tenths place (worth 0.2) and 3 is in the hundredths place (worth 0.03). In 0.32, it's reversed - 3 in tenths (0.3) and 2 in hundredths (0.02).

How do I compare decimals quickly?

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Start from the left after the decimal point! Compare the first digit after the decimal, then the second, and so on. The first position where digits differ tells you which decimal is larger.

What if the decimals have different numbers of digits?

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Add zeros to make them the same length! For example, 0.5 becomes 0.50 when comparing to 0.23. This makes it easier to see that 0.50 > 0.23.

Can I use a number line to help?

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Absolutely! Plot both decimals on a number line. 0.23 comes before 0.32, so 0.23 < 0.32. The visual shows they're definitely not equal!

What's the difference between 0.23 and 0.32?

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Subtract to find out: 0.320.23=0.09 0.32 - 0.23 = 0.09 . So 0.32 is exactly nine hundredths larger than 0.23.

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