Decimal in the thousandths place
0.502 in Words
0.502 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.502 in words is zero point five zero two.
0.502 Place-Value Breakdown
The decimal digits place 5 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 | 5 | tenth | 5/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 0.502?
0.502 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.502
0.502 = 5/10 + 2/1000
0.502 = 0 + 502/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.502 Simplifies to 251/500
0.502 = 502/1000
The greatest common divisor of 502 and 1000 is 2.
502 ÷ 2 = 251
1000 ÷ 2 = 500
Therefore, 502/1000 = 251/500.
0.502 as a Percentage
To convert 0.502 to a percentage, multiply it by 100.
0.502 × 100 = 50.2
Therefore, 0.502 = 50.2%.
Decimals Equivalent to 0.502
0.502 = 0.5020 = 0.50200
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 |
|---|---|---|---|
| 0.502 | thousandths | 502/1000 | 251/500 |
| 0.5020 | ten-thousandths | 5020/10000 | 251/500 |
| 0.50200 | hundred-thousandths | 50200/100000 | 251/500 |
Visual Model of 0.502
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.502 on a Number Line
0.502 lies between 0.501 and 0.503. It is 0.498 below 1 and 0.502 above 0.
On a number line from 0 to 1, it appears 50.2% of the way from 0 to 1.
How Far Is 0.502 from 1?
1 − 0.502 = 0.498
1 − 251/500 = 249/500
0.502 is four hundred ninety-eight thousandths below 1. The remaining part is 498/1000 = 249/500 = 49.8%.
0.502 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0502 | zero point zero five zero two | five hundred two ten-thousandths | 251/5000 | 5.02% | ten times smaller than 0.502 |
| 0.502 | zero point five zero two | five hundred two thousandths | 251/500 | 50.2% | current value |
| 0.5020 | zero point five zero two zero | five thousand twenty ten-thousandths | 251/500 | 50.2% | same numerical value, written to the ten-thousandths place |
| 5.02 | five point zero two | five and two hundredths | 251/50 | 502% | ten times larger than 0.502 |
Quick Practice
How is 0.502 read digit by digit?
Zero point five zero two.
What is the place-value word form of 0.502?
Five hundred two thousandths.
What fraction is 0.502 in lowest terms?
251/500.
What percentage is equal to 0.502?
50.2%.
Which is greater: 0.502 or 0.0502?
0.502 is ten times as large.
Is 0.502 equal to 0.5020?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.502 in words?
0.502 in words is zero point five zero two.
Why is 0.502 called five hundred two thousandths?
Because the digit 5 is in the thousandths place. Therefore, 0.502 represents five hundred two thousandths.
What fraction is 0.502?
0.502 is 502/1000 exactly and 251/500 in lowest terms.
Can 502/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 251/500.
What percentage is 0.502?
0.502 is equal to 50.2%.
Is 0.502 the same as 0.5020?
Yes. 0.502 and 0.5020 have the same numerical value. However, 0.502 is written to the thousandths place, while 0.5020 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.502 larger than 0.0502?
Yes. 0.502 is ten times as large as 0.0502.
What type of decimal is 0.502?
0.502 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents five hundred two thousandths.