Decimal Comparison: Is 0.05 Equal to 0.5?

Decimal Place Values with Zero Significance

Are they the same numbers?

0.05=?0.5 0.05\stackrel{?}{=}0.5

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Are these numbers exactly the same?
00:13 Let's look at the digits in each number.
00:22 The digit five is greater than zero. So, the number is larger, and they are not the same.
00:29 And that's how we find the solution to this question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Are they the same numbers?

0.05=?0.5 0.05\stackrel{?}{=}0.5

2

Step-by-step solution

We will add 0 to the number 0.5 in the following way:

0.5=0.50 0.5=0.50

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: Trailing zeros after decimal point don't change the value
  • Technique: Write 0.5 as 0.50 to compare place values directly
  • Check: Compare digit by digit: 0.05 has 5 hundredths, 0.50 has 5 tenths ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring decimal place positions
    Don't think 0.05 equals 0.5 because they both contain 5 = wrong answer! The position of digits after the decimal point determines their value. Always check which place value each digit occupies.

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 does adding a zero to 0.5 help me compare?

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Writing 0.5=0.50 0.5 = 0.50 shows both numbers with the same number of decimal places. Now you can easily see that 0.05 has 5 in the hundredths place, while 0.50 has 5 in the tenths place!

What's the difference between tenths and hundredths?

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Think of it like money: tenths are like dimes (0.1 = 10 cents), and hundredths are like pennies (0.01 = 1 cent). So 0.5 = 50 cents, but 0.05 = only 5 cents!

Can I just ignore the zeros in decimal numbers?

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Never ignore zeros! Zeros show the place value position of other digits. In 0.05, the zero tells you there are no tenths, only 5 hundredths.

How can I remember which decimal is bigger?

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Line up the decimal points and compare digit by digit from left to right. The first place where digits differ tells you which number is larger.

Are 0.50 and 0.500 the same number?

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Yes! Trailing zeros (zeros at the end after a decimal) don't change the value. 0.5=0.50=0.500 0.5 = 0.50 = 0.500 all represent the same amount.

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