Convert Decimal to Words: Writing 0.81 in Word Form

Q: Why is 0.81 equal to 81/100 and not 8/10 + 1/100?

While 0.81 does equal 8/10 + 1/100, the question asks for the decimal as one fraction. Think of 0.81 as 81 hundredths total, which gives us $ \frac{81}{100} $.

Q: How do I know which place value to use?

Count the decimal places! One decimal place = tenths, two decimal places = hundredths, three = thousandths. Since 0.81 has 2 decimal places, use hundredths (100).

Q: Can I simplify 81/100 further?

Let's check: 81 = 3⁴ and 100 = 2² × 5². Since they share no common factors, $ \frac{81}{100} $ is already in simplest form!

Q: What if the decimal has trailing zeros like 0.80?

Trailing zeros don't change the value! 0.80 = 0.8, so you can write it as either $ \frac{80}{100} $ or $ \frac{8}{10} $ (simplified form).

Q: Is there a shortcut for converting decimals to fractions?

Yes! Put the decimal digits (without the decimal point) over 1 followed by as many zeros as decimal places. For 0.81: 81 over 100 (2 zeros for 2 decimal places).

Decimal Place Values with Hundredths Conversion

Rewrite the following decimal in words:

0.81

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Rewrite the following decimal in words:

0.81

Step-by-step solution

To convert the decimal $0.81$ to its fractional form, follow these steps:

Step 1: Understand the position of each digit. In $0.81$ , the digit 8 is in the tenths place, and 1 is in the hundredths place.
Step 2: Convert $0.81$ into a fraction. Since 81 is the two-digit number following the decimal, we express this over 100, which represents the hundredths place: $\frac{81}{100}$ .
Step 3: Simplify the fraction if necessary. In this case, $\frac{81}{100}$ is already in its simplest form.

Thus, the decimal $0.81$ can be written in words as 81 divided by 100.

Among the given options, the correct answer corresponds to choice 2.

Final Answer

81 divided by 100

Key Points to Remember

Essential concepts to master this topic

Place Value: Tenths place is first digit, hundredths place is second
Technique: Read 0.81 as 81 hundredths = $\frac{81}{100}$
Check: Convert back: $\frac{81}{100}$ = 0.81 ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on digit count
Don't write 0.81 as 81/10 just because it has two digits = wrong place value! The rightmost digit (1) is in hundredths place, so denominator must be 100. Always use the rightmost digit's place value for the denominator.

Practice Quiz

Test your knowledge with interactive questions

Which figure represents 0.1?

FAQ

Everything you need to know about this question

Why is 0.81 equal to 81/100 and not 8/10 + 1/100?

While 0.81 does equal 8/10 + 1/100, the question asks for the decimal as one fraction. Think of 0.81 as 81 hundredths total, which gives us $\frac{81}{100}$ .

How do I know which place value to use?

Count the decimal places! One decimal place = tenths, two decimal places = hundredths, three = thousandths. Since 0.81 has 2 decimal places, use hundredths (100).

Can I simplify 81/100 further?

Let's check: 81 = 3⁴ and 100 = 2² × 5². Since they share no common factors, $\frac{81}{100}$ is already in simplest form!

What if the decimal has trailing zeros like 0.80?

Trailing zeros don't change the value! 0.80 = 0.8, so you can write it as either $\frac{80}{100}$ or $\frac{8}{10}$ (simplified form).

Is there a shortcut for converting decimals to fractions?

Yes! Put the decimal digits (without the decimal point) over 1 followed by as many zeros as decimal places. For 0.81: 81 over 100 (2 zeros for 2 decimal places).

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