Decimal in the thousandths place
0.508 in Words
0.508 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.508 in words is zero point five zero eight.
0.508 Place-Value Breakdown
The decimal digits place 5 in the tenth place, 0 in the hundredth place, and 8 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 | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.508?
0.508 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.508
0.508 = 5/10 + 8/1000
0.508 = 0 + 508/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.508 Simplifies to 127/250
0.508 = 508/1000
The greatest common divisor of 508 and 1000 is 4.
508 ÷ 4 = 127
1000 ÷ 4 = 250
Therefore, 508/1000 = 127/250.
0.508 as a Percentage
To convert 0.508 to a percentage, multiply it by 100.
0.508 × 100 = 50.8
Therefore, 0.508 = 50.8%.
Decimals Equivalent to 0.508
0.508 = 0.5080 = 0.50800
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 |
|---|---|---|---|
| 0.508 | thousandths | 508/1000 | 127/250 |
| 0.5080 | ten-thousandths | 5080/10000 | 127/250 |
| 0.50800 | hundred-thousandths | 50800/100000 | 127/250 |
Visual Model of 0.508
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.508 on a Number Line
0.508 lies between 0.507 and 0.509. It is 0.492 below 1 and 0.508 above 0.
On a number line from 0 to 1, it appears 50.8% of the way from 0 to 1.
How Far Is 0.508 from 1?
1 − 0.508 = 0.492
1 − 127/250 = 123/250
0.508 is four hundred ninety-two thousandths below 1. The remaining part is 492/1000 = 123/250 = 49.2%.
0.508 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0508 | zero point zero five zero eight | five hundred eight ten-thousandths | 127/2500 | 5.08% | ten times smaller than 0.508 |
| 0.508 | zero point five zero eight | five hundred eight thousandths | 127/250 | 50.8% | current value |
| 0.5080 | zero point five zero eight zero | five thousand eighty ten-thousandths | 127/250 | 50.8% | same numerical value, written to the ten-thousandths place |
| 5.08 | five point zero eight | five and eight hundredths | 127/25 | 508% | ten times larger than 0.508 |
Quick Practice
How is 0.508 read digit by digit?
Zero point five zero eight.
What is the place-value word form of 0.508?
Five hundred eight thousandths.
What fraction is 0.508 in lowest terms?
127/250.
What percentage is equal to 0.508?
50.8%.
Which is greater: 0.508 or 0.0508?
0.508 is ten times as large.
Is 0.508 equal to 0.5080?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.508 in words?
0.508 in words is zero point five zero eight.
Why is 0.508 called five hundred eight thousandths?
Because the digit 5 is in the thousandths place. Therefore, 0.508 represents five hundred eight thousandths.
What fraction is 0.508?
0.508 is 508/1000 exactly and 127/250 in lowest terms.
Can 508/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 127/250.
What percentage is 0.508?
0.508 is equal to 50.8%.
Is 0.508 the same as 0.5080?
Yes. 0.508 and 0.5080 have the same numerical value. However, 0.508 is written to the thousandths place, while 0.5080 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.508 larger than 0.0508?
Yes. 0.508 is ten times as large as 0.0508.
What type of decimal is 0.508?
0.508 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents five hundred eight thousandths.