Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 507/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.507 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.507 in words is one point five zero seven.
The digits 1 form the whole-number part, while 5 in the tenth place, 0 in the hundredth place, and 7 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 | 7 | thousandth | 7/1000 |
1.507 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.507 = 1 + 5/10 + 7/1000
1.507 = 1 + 507/1000
1.507 = 1 507/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
There are 3 decimal places, so the exact fraction is 1507/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
As a mixed fraction, the value is 1 507/1000.
To convert 1.507 to a percentage, multiply it by 100.
1.507 × 100 = 150.7
Therefore, 1.507 = 150.7%.
1.507 = 1.5070 = 1.50700
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 |
|---|---|---|---|
| 1.507 | thousandths | 1507/1000 | 1507/1000 |
| 1.5070 | ten-thousandths | 15070/10000 | 1507/1000 |
| 1.50700 | hundred-thousandths | 150700/100000 | 1507/1000 |
This mixed decimal combines the whole part 1 with the fractional part 507/1000. In place-value words, "and" marks that boundary.
1.507 lies between 1 and 2. It is 0.493 below 2 and 0.507 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1507 | zero point one five zero seven | one thousand five hundred seven ten-thousandths | 1507/10000 | 15.07% | ten times smaller than 1.507 |
| 1.507 | one point five zero seven | one and five hundred seven thousandths | 1507/1000 | 150.7% | current value |
| 1.5070 | one point five zero seven zero | one and five thousand seventy ten-thousandths | 1507/1000 | 150.7% | same numerical value, written to the ten-thousandths place |
| 15.07 | fifteen point zero seven | fifteen and seven hundredths | 1507/100 | 1507% | ten times larger than 1.507 |
One point five zero seven.
One and five hundred seven thousandths.
1507/1000.
150.7%.
1 507/1000.
Between 1 and 2.
1.507 in words is one point five zero seven.
Because the digit 5 is in the thousandths place. Therefore, 1.507 represents one and five hundred seven thousandths.
1.507 is 1507/1000 exactly and 1507/1000 in lowest terms.
Yes. Its numerator and denominator have a greatest common divisor of 1.
1.507 is equal to 150.7%.
Yes. 1.507 and 1.5070 have the same numerical value. However, 1.507 is written to the thousandths place, while 1.5070 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.507 is ten times as large as 0.1507.
1.507 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and five hundred seven thousandths.