Converting Decimal 0.41: Writing the Number in Word Form

Q: How do I know whether to use tenths or hundredths?

Count the number of digits after the decimal point! One digit = tenths, two digits = hundredths, three digits = thousandths. Since 0.41 has two digits, it's hundredths.

Q: Why isn't 0.41 the same as 41/10?

Because $ \frac{41}{10} = 4.1 $, not 0.41! The decimal 0.41 means 41 parts out of 100, so it must be $ \frac{41}{100} $.

Q: What if the decimal has zeros, like 0.40?

The zero matters for place value! 0.40 is still forty hundredths or $ \frac{40}{100} $, which simplifies to $ \frac{2}{5} $.

Q: How do I read decimals with more than two places?

Same pattern! 0.123 has three digits after the decimal, so it's "one hundred twenty-three thousandths" or $ \frac{123}{1000} $.

Decimal Representation with Place Value Notation

Rewrite the following decimal in words:

0.41

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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:

0.41

Step-by-step solution

To solve this problem, we need to express the decimal $0.41$ in words. In a decimal, the tenths place and hundredths place determine the fraction it represents. Specifically, the fraction that corresponds to $0.41$ is $\frac{41}{100}$ , since 41 is in the hundredths place.

Let's consider how to express $0.41$ in fraction form:

The number $0.41$ is read as "forty-one hundredths."
This corresponds to writing it as a fraction with a denominator of 100.
Thus, $0.41 = \frac{41}{100}$ , which is expressed in words as "41 divided by 100."

Therefore, among the given choices, the correct expression of $0.41$ in words is $\frac{41}{100}$ , meaning 41 hundredths or "41 divided by 100."

Final Answer

41 divided by 100

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: The digit's position determines the denominator in fraction form
Technique: 0.41 has 41 in hundredths place, so write as 41/100
Check: Verify by reading aloud: "forty-one hundredths" matches $\frac{41}{100}$ ✓

Common Mistakes

Avoid these frequent errors

Reading only the first digit after decimal
Don't read 0.41 as "4 tenths" = 4/10! This ignores the second digit and gives the wrong fraction. Always count all digits after the decimal to determine the correct place value and denominator.

Practice Quiz

Test your knowledge with interactive questions

Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

How do I know whether to use tenths or hundredths?

Count the number of digits after the decimal point! One digit = tenths, two digits = hundredths, three digits = thousandths. Since 0.41 has two digits, it's hundredths.

Why isn't 0.41 the same as 41/10?

Because $\frac{41}{10} = 4.1$ , not 0.41! The decimal 0.41 means 41 parts out of 100, so it must be $\frac{41}{100}$ .

Can I simplify 41/100 further?

Check if 41 and 100 share any common factors. Since 41 is prime and doesn't divide 100, $\frac{41}{100}$ is already in simplest form.

What if the decimal has zeros, like 0.40?

The zero matters for place value! 0.40 is still forty hundredths or $\frac{40}{100}$ , which simplifies to $\frac{2}{5}$ .

How do I read decimals with more than two places?

Same pattern! 0.123 has three digits after the decimal, so it's "one hundred twenty-three thousandths" or $\frac{123}{1000}$ .

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