Convert the Decimal 0.77 to Written Words

Q: Why is it 77/100 and not 77/10?

Look at the rightmost digit's place! The second 7 is in the hundredths place, which means the denominator must be 100. If it were just 0.7, then it would be 7/10.

Q: What if I said 'seventy-seven hundredths' instead?

That's actually the correct way to read 0.77 in words! Both 'seventy-seven hundredths' and '77 divided by 100' mean exactly the same thing.

Q: How do I know which place value each digit is in?

Count from the decimal point: first digit after = tenths, second digit = hundredths, third digit = thousandths, and so on.

Decimal Place Value with Fractional Conversion

Rewrite the following decimal in words:

0.77

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Step-by-step written solution

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Understand the problem

Rewrite the following decimal in words:

0.77

Step-by-step solution

To convert the decimal $0.77$ into words, we will first examine the place value of each digit. The number $0.77$ has two digits after the decimal point:

The first digit after the decimal is $7$ , which is in the tenths place.
The second digit is another $7$ , which is in the hundredths place.

This means that the decimal $0.77$ can be expressed as a fraction. Since the last digit is in the hundredths place, we write the fraction as $\frac{77}{100}$ .

To express this in words, we simply read the fraction by its numerator and denominator: "77 divided by 100."

Therefore, the decimal $0.77$ is correctly represented in words as "77 divided by 100."

Final Answer

77 divided by 100

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Last digit determines denominator for fraction conversion
Technique: 0.77 has hundredths place, so write $\frac{77}{100}$
Check: Verify by dividing: 77 ÷ 100 = 0.77 ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on number of digits
Don't count total digits after decimal to get denominator = wrong fraction! This ignores place value completely. Always use the rightmost digit's place value (tenths = 10, hundredths = 100, thousandths = 1000).

Practice Quiz

Test your knowledge with interactive questions

Determine the number of tenths in the following number:

1.3

FAQ

Everything you need to know about this question

Why is it 77/100 and not 77/10?

Look at the rightmost digit's place! The second 7 is in the hundredths place, which means the denominator must be 100. If it were just 0.7, then it would be 7/10.

What if I said 'seventy-seven hundredths' instead?

That's actually the correct way to read 0.77 in words! Both 'seventy-seven hundredths' and '77 divided by 100' mean exactly the same thing.

How do I know which place value each digit is in?

Count from the decimal point: first digit after = tenths, second digit = hundredths, third digit = thousandths, and so on.

Does the zero before the decimal point matter?

The zero just shows there are no whole number parts. It doesn't change the fraction at all - $0.77 = \frac{77}{100}$ regardless of that zero.

Can I simplify 77/100 further?

Yes! Since 77 and 100 share no common factors other than 1, $\frac{77}{100}$ is already in simplest form. But the question asks for it 'in words' as a division statement.

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