Decimal in the thousandths place
0.804 in Words
0.804 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.804 in words is zero point eight zero four.
0.804 Place-Value Breakdown
The decimal digits place 8 in the tenth place, 0 in the hundredth place, and 4 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 | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 0.804?
0.804 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.804
0.804 = 8/10 + 4/1000
0.804 = 0 + 804/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.804 Simplifies to 201/250
0.804 = 804/1000
The greatest common divisor of 804 and 1000 is 4.
804 ÷ 4 = 201
1000 ÷ 4 = 250
Therefore, 804/1000 = 201/250.
0.804 as a Percentage
To convert 0.804 to a percentage, multiply it by 100.
0.804 × 100 = 80.4
Therefore, 0.804 = 80.4%.
Decimals Equivalent to 0.804
0.804 = 0.8040 = 0.80400
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 |
|---|---|---|---|
| 0.804 | thousandths | 804/1000 | 201/250 |
| 0.8040 | ten-thousandths | 8040/10000 | 201/250 |
| 0.80400 | hundred-thousandths | 80400/100000 | 201/250 |
Visual Model of 0.804
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.804 on a Number Line
0.804 lies between 0.803 and 0.805. It is 0.196 below 1 and 0.804 above 0.
On a number line from 0 to 1, it appears 80.4% of the way from 0 to 1.
How Far Is 0.804 from 1?
1 − 0.804 = 0.196
1 − 201/250 = 49/250
0.804 is one hundred ninety-six thousandths below 1. The remaining part is 196/1000 = 49/250 = 19.6%.
0.804 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0804 | zero point zero eight zero four | eight hundred four ten-thousandths | 201/2500 | 8.04% | ten times smaller than 0.804 |
| 0.804 | zero point eight zero four | eight hundred four thousandths | 201/250 | 80.4% | current value |
| 0.8040 | zero point eight zero four zero | eight thousand forty ten-thousandths | 201/250 | 80.4% | same numerical value, written to the ten-thousandths place |
| 8.04 | eight point zero four | eight and four hundredths | 201/25 | 804% | ten times larger than 0.804 |
Quick Practice
How is 0.804 read digit by digit?
Zero point eight zero four.
What is the place-value word form of 0.804?
Eight hundred four thousandths.
What fraction is 0.804 in lowest terms?
201/250.
What percentage is equal to 0.804?
80.4%.
Which is greater: 0.804 or 0.0804?
0.804 is ten times as large.
Is 0.804 equal to 0.8040?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.804 in words?
0.804 in words is zero point eight zero four.
Why is 0.804 called eight hundred four thousandths?
Because the digit 8 is in the thousandths place. Therefore, 0.804 represents eight hundred four thousandths.
What fraction is 0.804?
0.804 is 804/1000 exactly and 201/250 in lowest terms.
Can 804/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 201/250.
What percentage is 0.804?
0.804 is equal to 80.4%.
Is 0.804 the same as 0.8040?
Yes. 0.804 and 0.8040 have the same numerical value. However, 0.804 is written to the thousandths place, while 0.8040 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.804 larger than 0.0804?
Yes. 0.804 is ten times as large as 0.0804.
What type of decimal is 0.804?
0.804 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents eight hundred four thousandths.