Decimal in the thousandths place
0.802 in Words
0.802 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.802 in words is zero point eight zero two.
0.802 Place-Value Breakdown
The decimal digits place 8 in the tenth place, 0 in the hundredth place, and 2 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 | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 0.802?
0.802 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.802
0.802 = 8/10 + 2/1000
0.802 = 0 + 802/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.802 Simplifies to 401/500
0.802 = 802/1000
The greatest common divisor of 802 and 1000 is 2.
802 ÷ 2 = 401
1000 ÷ 2 = 500
Therefore, 802/1000 = 401/500.
0.802 as a Percentage
To convert 0.802 to a percentage, multiply it by 100.
0.802 × 100 = 80.2
Therefore, 0.802 = 80.2%.
Decimals Equivalent to 0.802
0.802 = 0.8020 = 0.80200
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 |
|---|---|---|---|
| 0.802 | thousandths | 802/1000 | 401/500 |
| 0.8020 | ten-thousandths | 8020/10000 | 401/500 |
| 0.80200 | hundred-thousandths | 80200/100000 | 401/500 |
Visual Model of 0.802
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.802 on a Number Line
0.802 lies between 0.801 and 0.803. It is 0.198 below 1 and 0.802 above 0.
On a number line from 0 to 1, it appears 80.2% of the way from 0 to 1.
How Far Is 0.802 from 1?
1 − 0.802 = 0.198
1 − 401/500 = 99/500
0.802 is one hundred ninety-eight thousandths below 1. The remaining part is 198/1000 = 99/500 = 19.8%.
0.802 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0802 | zero point zero eight zero two | eight hundred two ten-thousandths | 401/5000 | 8.02% | ten times smaller than 0.802 |
| 0.802 | zero point eight zero two | eight hundred two thousandths | 401/500 | 80.2% | current value |
| 0.8020 | zero point eight zero two zero | eight thousand twenty ten-thousandths | 401/500 | 80.2% | same numerical value, written to the ten-thousandths place |
| 8.02 | eight point zero two | eight and two hundredths | 401/50 | 802% | ten times larger than 0.802 |
Quick Practice
How is 0.802 read digit by digit?
Zero point eight zero two.
What is the place-value word form of 0.802?
Eight hundred two thousandths.
What fraction is 0.802 in lowest terms?
401/500.
What percentage is equal to 0.802?
80.2%.
Which is greater: 0.802 or 0.0802?
0.802 is ten times as large.
Is 0.802 equal to 0.8020?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.802 in words?
0.802 in words is zero point eight zero two.
Why is 0.802 called eight hundred two thousandths?
Because the digit 8 is in the thousandths place. Therefore, 0.802 represents eight hundred two thousandths.
What fraction is 0.802?
0.802 is 802/1000 exactly and 401/500 in lowest terms.
Can 802/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 401/500.
What percentage is 0.802?
0.802 is equal to 80.2%.
Is 0.802 the same as 0.8020?
Yes. 0.802 and 0.8020 have the same numerical value. However, 0.802 is written to the thousandths place, while 0.8020 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.802 larger than 0.0802?
Yes. 0.802 is ten times as large as 0.0802.
What type of decimal is 0.802?
0.802 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents eight hundred two thousandths.