Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 504/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.504 in Words
1.504 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.504 in words is one point five zero four.
1.504 Place-Value Breakdown
The digits 1 form the whole-number part, while 5 in the tenth place, 0 in the hundredth place, and 4 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 5 | tenth | 5/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 1.504?
1.504 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.504
1.504 = 1 + 5/10 + 4/1000
1.504 = 1 + 504/1000
1.504 = 1 63/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.504 Simplifies to 188/125
1.504 = 1504/1000
The greatest common divisor of 1504 and 1000 is 8.
1504 ÷ 8 = 188
1000 ÷ 8 = 125
Therefore, 1504/1000 = 188/125.
As a mixed fraction, the value is 1 63/125.
1.504 as a Percentage
To convert 1.504 to a percentage, multiply it by 100.
1.504 × 100 = 150.4
Therefore, 1.504 = 150.4%.
Decimals Equivalent to 1.504
1.504 = 1.5040 = 1.50400
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 |
|---|---|---|---|
| 1.504 | thousandths | 1504/1000 | 188/125 |
| 1.5040 | ten-thousandths | 15040/10000 | 188/125 |
| 1.50400 | hundred-thousandths | 150400/100000 | 188/125 |
1.504 on a Number Line
1.504 lies between 1 and 2. It is 0.496 below 2 and 0.504 above 1.
11.5042
1.504 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1504 | zero point one five zero four | one thousand five hundred four ten-thousandths | 94/625 | 15.04% | ten times smaller than 1.504 |
| 1.504 | one point five zero four | one and five hundred four thousandths | 188/125 | 150.4% | current value |
| 1.5040 | one point five zero four zero | one and five thousand forty ten-thousandths | 188/125 | 150.4% | same numerical value, written to the ten-thousandths place |
| 15.04 | fifteen point zero four | fifteen and four hundredths | 376/25 | 1504% | ten times larger than 1.504 |
Quick Practice
How is 1.504 read digit by digit?
One point five zero four.
What is the place-value word form of 1.504?
One and five hundred four thousandths.
What fraction is 1.504 in lowest terms?
188/125.
What percentage is equal to 1.504?
150.4%.
What is 1.504 as a mixed fraction?
1 63/125.
Between which whole numbers does 1.504 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.504 in words?
1.504 in words is one point five zero four.
Why is 1.504 called one and five hundred four thousandths?
Because the digit 5 is in the thousandths place. Therefore, 1.504 represents one and five hundred four thousandths.
What fraction is 1.504?
1.504 is 1504/1000 exactly and 188/125 in lowest terms.
Can 1504/1000 be simplified?
Yes. Divide its numerator and denominator by 8 to get 188/125.
What percentage is 1.504?
1.504 is equal to 150.4%.
Is 1.504 the same as 1.5040?
Yes. 1.504 and 1.5040 have the same numerical value. However, 1.504 is written to the thousandths place, while 1.5040 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.504 larger than 0.1504?
Yes. 1.504 is ten times as large as 0.1504.
What type of decimal is 1.504?
1.504 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and five hundred four thousandths.