Number DigitDecimal in the hundredths place
77.20 in Words
77.20 is a positive terminating decimal greater than 1. It has 2 decimal places, and its final digit is in the hundredths place.
Direct Answer
77.20 in words is seventy-seven point two zero.
77.20 has the same numerical value as 77.2, but it is written to the hundredths place.
77.20 Place-Value Breakdown
The digits 7 and 7 form the whole-number part, while 2 in the tenth place and 0 in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 7 | tens | 70 |
| Whole part | 7 | ones | 7 |
| Decimal part | 2 | tenth | 2/10 |
| Decimal part | 0 | hundredth | 0/100 |
What Kind of Decimal Is 77.20?
77.20 is a positive terminating decimal greater than 1. It is written to the hundredths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of 77.20
77.20 = 70 + 7 + 2/10
77.20 = 77 + 20/100
77.20 = 77 1/5
77.20 = 7720/100
The nonzero terms determine the numerical value, while the trailing zero preserves the written hundredths precision.
How 77.20 Simplifies to 386/5
77.20 = 7720/100
The greatest common divisor of 7720 and 100 is 20.
7720 ÷ 20 = 386
100 ÷ 20 = 5
Therefore, 7720/100 = 386/5.
As a mixed fraction, the value is 77 1/5.
77.20 as a Percentage
To convert 77.20 to a percentage, multiply it by 100.
77.20 × 100 = 7720
Therefore, 77.20 = 7720%.
Decimals Equivalent to 77.20
77.2 = 77.20 = 77.200
77.20 and 77.2 have the same numerical value. Their final written places differ, so they may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 77.2 | tenths | 772/10 | 386/5 |
| 77.20 | hundredths | 7720/100 | 386/5 |
| 77.200 | thousandths | 77200/1000 | 386/5 |
A Familiar Fraction Equivalent
The reduced form 386/5 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that 77.20 was written to the hundredths place.
Whole Part and Fractional Part
This mixed decimal combines the whole part 77 with the fractional part 20/100. In place-value words, "and" marks that boundary.
77.20 on a Number Line
77.20 lies between 77 and 78. It is 0.8 below 78 and 0.2 above 77.
77.20 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 7.72 | seven point seven two | seven and seventy-two hundredths | 193/25 | 772% | ten times smaller than 77.20 |
| 77.2 | seventy-seven point two | seventy-seven and two tenths | 386/5 | 7720% | same numerical value, fewer written decimal places |
| 77.20 | seventy-seven point two zero | seventy-seven and twenty hundredths | 386/5 | 7720% | current value |
| 77.200 | seventy-seven point two zero zero | seventy-seven and two hundred thousandths | 386/5 | 7720% | same numerical value, written to the thousandths place |
| 772.0 | seven hundred seventy-two point zero | seven hundred seventy-two | 772 | 77200% | ten times larger than 77.20 |
Quick Practice
How is 77.20 read digit by digit?
Seventy-seven point two zero.
What is the place-value word form of 77.20?
Seventy-seven and twenty hundredths.
What fraction is 77.20 in lowest terms?
386/5.
What percentage is equal to 77.20?
7720%.
What is 77.20 as a mixed fraction?
77 1/5.
Between which whole numbers does 77.20 lie?
Between 77 and 78.
Convert Another Decimal
Use the full converter for custom input, examples, and the complete place-name chart.
Ready for a lesson or a little practice
Printable decimal worksheets
Each free PDF contains eight questions. Download a separate answer key with explanations. No account is required.
Frequently Asked Questions
How do you write 77.20 in words?
77.20 in words is seventy-seven point two zero.
Why is 77.20 called seventy-seven and twenty hundredths?
There are 2 digits after the point, so the fractional part is expressed in hundredths. Read the complete value as seventy-seven and twenty hundredths.
What fraction is 77.20?
77.20 is 7720/100 exactly and 386/5 in lowest terms.
Can 7720/100 be simplified?
Yes. Divide its numerator and denominator by 20 to get 386/5.
What percentage is 77.20?
77.20 is equal to 7720%.
Is 77.20 the same as 77.200?
Yes. 77.20 and 77.200 have the same numerical value. However, 77.20 is written to the hundredths place, while 77.200 is written to the thousandths place and may communicate greater recorded precision.
Is 77.20 larger than 7.72?
Yes. 77.20 is ten times as large as 7.72.
What type of decimal is 77.20?
77.20 is a positive terminating decimal greater than 1. It is written to 2 decimal places and represents seventy-seven and twenty hundredths.