Decimal in the thousandths place
0.504 in Words
0.504 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.504 in words is zero point five zero four.
0.504 Place-Value Breakdown
The decimal digits place 5 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 | 5 | tenth | 5/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 0.504?
0.504 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.504
0.504 = 5/10 + 4/1000
0.504 = 0 + 504/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.504 Simplifies to 63/125
0.504 = 504/1000
The greatest common divisor of 504 and 1000 is 8.
504 ÷ 8 = 63
1000 ÷ 8 = 125
Therefore, 504/1000 = 63/125.
0.504 as a Percentage
To convert 0.504 to a percentage, multiply it by 100.
0.504 × 100 = 50.4
Therefore, 0.504 = 50.4%.
Decimals Equivalent to 0.504
0.504 = 0.5040 = 0.50400
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 |
|---|---|---|---|
| 0.504 | thousandths | 504/1000 | 63/125 |
| 0.5040 | ten-thousandths | 5040/10000 | 63/125 |
| 0.50400 | hundred-thousandths | 50400/100000 | 63/125 |
Visual Model of 0.504
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.504 on a Number Line
0.504 lies between 0.503 and 0.505. It is 0.496 below 1 and 0.504 above 0.
On a number line from 0 to 1, it appears 50.4% of the way from 0 to 1.
How Far Is 0.504 from 1?
1 − 0.504 = 0.496
1 − 63/125 = 62/125
0.504 is four hundred ninety-six thousandths below 1. The remaining part is 496/1000 = 62/125 = 49.6%.
0.504 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0504 | zero point zero five zero four | five hundred four ten-thousandths | 63/1250 | 5.04% | ten times smaller than 0.504 |
| 0.504 | zero point five zero four | five hundred four thousandths | 63/125 | 50.4% | current value |
| 0.5040 | zero point five zero four zero | five thousand forty ten-thousandths | 63/125 | 50.4% | same numerical value, written to the ten-thousandths place |
| 5.04 | five point zero four | five and four hundredths | 126/25 | 504% | ten times larger than 0.504 |
Quick Practice
How is 0.504 read digit by digit?
Zero point five zero four.
What is the place-value word form of 0.504?
Five hundred four thousandths.
What fraction is 0.504 in lowest terms?
63/125.
What percentage is equal to 0.504?
50.4%.
Which is greater: 0.504 or 0.0504?
0.504 is ten times as large.
Is 0.504 equal to 0.5040?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.504 in words?
0.504 in words is zero point five zero four.
Why is 0.504 called five hundred four thousandths?
Because the digit 5 is in the thousandths place. Therefore, 0.504 represents five hundred four thousandths.
What fraction is 0.504?
0.504 is 504/1000 exactly and 63/125 in lowest terms.
Can 504/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 63/125.
What percentage is 0.504?
0.504 is equal to 50.4%.
Is 0.504 the same as 0.5040?
Yes. 0.504 and 0.5040 have the same numerical value. However, 0.504 is written to the thousandths place, while 0.5040 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.504 larger than 0.0504?
Yes. 0.504 is ten times as large as 0.0504.
What type of decimal is 0.504?
0.504 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents five hundred four thousandths.