Decimal in the thousandths place
0.507 in Words
0.507 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.507 in words is zero point five zero seven.
0.507 Place-Value Breakdown
The decimal digits place 5 in the tenth place, 0 in the hundredth place, and 7 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 | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 0.507?
0.507 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.507
0.507 = 5/10 + 7/1000
0.507 = 0 + 507/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 507/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 507/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.507 as a Percentage
To convert 0.507 to a percentage, multiply it by 100.
0.507 × 100 = 50.7
Therefore, 0.507 = 50.7%.
Decimals Equivalent to 0.507
0.507 = 0.5070 = 0.50700
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 |
|---|---|---|---|
| 0.507 | thousandths | 507/1000 | 507/1000 |
| 0.5070 | ten-thousandths | 5070/10000 | 507/1000 |
| 0.50700 | hundred-thousandths | 50700/100000 | 507/1000 |
Visual Model of 0.507
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.507 on a Number Line
0.507 lies between 0.506 and 0.508. It is 0.493 below 1 and 0.507 above 0.
On a number line from 0 to 1, it appears 50.7% of the way from 0 to 1.
How Far Is 0.507 from 1?
1 − 0.507 = 0.493
1 − 507/1000 = 493/1000
0.507 is four hundred ninety-three thousandths below 1. The remaining part is 493/1000 = 493/1000 = 49.3%.
0.507 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0507 | zero point zero five zero seven | five hundred seven ten-thousandths | 507/10000 | 5.07% | ten times smaller than 0.507 |
| 0.507 | zero point five zero seven | five hundred seven thousandths | 507/1000 | 50.7% | current value |
| 0.5070 | zero point five zero seven zero | five thousand seventy ten-thousandths | 507/1000 | 50.7% | same numerical value, written to the ten-thousandths place |
| 5.07 | five point zero seven | five and seven hundredths | 507/100 | 507% | ten times larger than 0.507 |
Quick Practice
How is 0.507 read digit by digit?
Zero point five zero seven.
What is the place-value word form of 0.507?
Five hundred seven thousandths.
What fraction is 0.507 in lowest terms?
507/1000.
What percentage is equal to 0.507?
50.7%.
Which is greater: 0.507 or 0.0507?
0.507 is ten times as large.
Is 0.507 equal to 0.5070?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.507 in words?
0.507 in words is zero point five zero seven.
Why is 0.507 called five hundred seven thousandths?
Because the digit 5 is in the thousandths place. Therefore, 0.507 represents five hundred seven thousandths.
What fraction is 0.507?
0.507 is 507/1000 exactly and 507/1000 in lowest terms.
Is 507/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.507?
0.507 is equal to 50.7%.
Is 0.507 the same as 0.5070?
Yes. 0.507 and 0.5070 have the same numerical value. However, 0.507 is written to the thousandths place, while 0.5070 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.507 larger than 0.0507?
Yes. 0.507 is ten times as large as 0.0507.
What type of decimal is 0.507?
0.507 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents five hundred seven thousandths.