Converting Decimal to Words: Express 0.65 in Written Form

Q: Why is 0.65 equal to 65/100 and not 65/10?

The last digit (5) is in the hundredths place, so the denominator must be 100. The decimal goes two places after the decimal point, so we need hundredths, not tenths.

Q: How do I remember which denominator to use?

Count the decimal places! One place = tenths (10), two places = hundredths (100), three places = thousandths (1000). Since 0.65 has 2 decimal places, use 100.

Q: Can I simplify 65/100?

Yes! $ \frac{65}{100} = \frac{13}{20} $ when you divide both numerator and denominator by 5. But the question asks for the decimal in words, so 65 divided by 100 is the direct answer.

Q: What if the decimal was 0.6 instead?

0.6 has one decimal place, so it would be $ \frac{6}{10} $ or 'six divided by ten'. Always match the number of decimal places to the denominator!

Decimal Place Value with Fractional Conversion

Rewrite the following decimal in words:

0.65

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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:

0.65

Step-by-step solution

To solve this problem, we need to express the decimal 0.65 in fractional terms, recognizing the meaning of its place value.

The decimal 0.65 can be interpreted as $\frac{65}{100}$ because:

The digit 6 is in the tenths position, which represents $6 \times \frac{1}{10} = \frac{60}{100}$ .
The digit 5 is in the hundredths position, which represents $5 \times \frac{1}{100} = \frac{5}{100}$ .

Adding these two values together, we have $\frac{60}{100} + \frac{5}{100} = \frac{65}{100}$ .

Therefore, the decimal 0.65 can be expressed in fractional terms as "65 divided by 100".

The correct answer is therefore: $\frac{65}{100}$ .

Final Answer

65 divided by 100

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each decimal position represents a power of 10
Technique: 0.65 = 6 tenths + 5 hundredths = $\frac{65}{100}$
Check: Verify $\frac{65}{100} = 0.65$ by dividing 65 ÷ 100 ✓

Common Mistakes

Avoid these frequent errors

Reading decimal digits as separate whole numbers
Don't read 0.65 as 'six and five' or write it as 6/5 = wrong fraction! This ignores place value completely. Always recognize that 6 is in tenths position and 5 is in hundredths position to get $\frac{65}{100}$ .

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

Why is 0.65 equal to 65/100 and not 65/10?

The last digit (5) is in the hundredths place, so the denominator must be 100. The decimal goes two places after the decimal point, so we need hundredths, not tenths.

How do I remember which denominator to use?

Count the decimal places! One place = tenths (10), two places = hundredths (100), three places = thousandths (1000). Since 0.65 has 2 decimal places, use 100.

Can I simplify 65/100?

Yes! $\frac{65}{100} = \frac{13}{20}$ when you divide both numerator and denominator by 5. But the question asks for the decimal in words, so 65 divided by 100 is the direct answer.

What if the decimal was 0.6 instead?

0.6 has one decimal place, so it would be $\frac{6}{10}$ or 'six divided by ten'. Always match the number of decimal places to the denominator!

Is there a difference between 'sixty-five hundredths' and '65 divided by 100'?

No difference at all! Both expressions mean exactly the same thing: $\frac{65}{100}$ . They're just different ways to say the same mathematical concept.

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