Decimal in the thousandths place
0.801 in Words
0.801 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.801 in words is zero point eight zero one.
0.801 Place-Value Breakdown
The decimal digits place 8 in the tenth place, 0 in the hundredth place, and 1 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 8 | tenth | 8/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 1 | thousandth | 1/1000 |
What Kind of Decimal Is 0.801?
0.801 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.801
0.801 = 8/10 + 1/1000
0.801 = 0 + 801/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 801/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 801/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.801 as a Percentage
To convert 0.801 to a percentage, multiply it by 100.
0.801 × 100 = 80.1
Therefore, 0.801 = 80.1%.
Decimals Equivalent to 0.801
0.801 = 0.8010 = 0.80100
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 0.801 | thousandths | 801/1000 | 801/1000 |
| 0.8010 | ten-thousandths | 8010/10000 | 801/1000 |
| 0.80100 | hundred-thousandths | 80100/100000 | 801/1000 |
Visual Model of 0.801
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.801 on a Number Line
0.801 lies between 0.800 and 0.802. It is 0.199 below 1 and 0.801 above 0.
On a number line from 0 to 1, it appears 80.1% of the way from 0 to 1.
How Far Is 0.801 from 1?
1 − 0.801 = 0.199
1 − 801/1000 = 199/1000
0.801 is one hundred ninety-nine thousandths below 1. The remaining part is 199/1000 = 199/1000 = 19.9%.
0.801 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0801 | zero point zero eight zero one | eight hundred one ten-thousandths | 801/10000 | 8.01% | ten times smaller than 0.801 |
| 0.801 | zero point eight zero one | eight hundred one thousandths | 801/1000 | 80.1% | current value |
| 0.8010 | zero point eight zero one zero | eight thousand ten ten-thousandths | 801/1000 | 80.1% | same numerical value, written to the ten-thousandths place |
| 8.01 | eight point zero one | eight and one hundredth | 801/100 | 801% | ten times larger than 0.801 |
Quick Practice
How is 0.801 read digit by digit?
Zero point eight zero one.
What is the place-value word form of 0.801?
Eight hundred one thousandths.
What fraction is 0.801 in lowest terms?
801/1000.
What percentage is equal to 0.801?
80.1%.
Which is greater: 0.801 or 0.0801?
0.801 is ten times as large.
Is 0.801 equal to 0.8010?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.801 in words?
0.801 in words is zero point eight zero one.
Why is 0.801 called eight hundred one thousandths?
Because the digit 8 is in the thousandths place. Therefore, 0.801 represents eight hundred one thousandths.
What fraction is 0.801?
0.801 is 801/1000 exactly and 801/1000 in lowest terms.
Is 801/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.801?
0.801 is equal to 80.1%.
Is 0.801 the same as 0.8010?
Yes. 0.801 and 0.8010 have the same numerical value. However, 0.801 is written to the thousandths place, while 0.8010 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.801 larger than 0.0801?
Yes. 0.801 is ten times as large as 0.0801.
What type of decimal is 0.801?
0.801 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents eight hundred one thousandths.