Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 506/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.506 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.506 in words is one point five zero six.
The digits 1 form the whole-number part, while 5 in the tenth place, 0 in the hundredth place, and 6 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 | 6 | thousandth | 6/1000 |
1.506 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.506 = 1 + 5/10 + 6/1000
1.506 = 1 + 506/1000
1.506 = 1 253/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.506 = 1506/1000
The greatest common divisor of 1506 and 1000 is 2.
1506 ÷ 2 = 753
1000 ÷ 2 = 500
Therefore, 1506/1000 = 753/500.
As a mixed fraction, the value is 1 253/500.
To convert 1.506 to a percentage, multiply it by 100.
1.506 × 100 = 150.6
Therefore, 1.506 = 150.6%.
1.506 = 1.5060 = 1.50600
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 |
|---|---|---|---|
| 1.506 | thousandths | 1506/1000 | 753/500 |
| 1.5060 | ten-thousandths | 15060/10000 | 753/500 |
| 1.50600 | hundred-thousandths | 150600/100000 | 753/500 |
This mixed decimal combines the whole part 1 with the fractional part 506/1000. In place-value words, "and" marks that boundary.
1.506 lies between 1 and 2. It is 0.494 below 2 and 0.506 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1506 | zero point one five zero six | one thousand five hundred six ten-thousandths | 753/5000 | 15.06% | ten times smaller than 1.506 |
| 1.506 | one point five zero six | one and five hundred six thousandths | 753/500 | 150.6% | current value |
| 1.5060 | one point five zero six zero | one and five thousand sixty ten-thousandths | 753/500 | 150.6% | same numerical value, written to the ten-thousandths place |
| 15.06 | fifteen point zero six | fifteen and six hundredths | 753/50 | 1506% | ten times larger than 1.506 |
One point five zero six.
One and five hundred six thousandths.
753/500.
150.6%.
1 253/500.
Between 1 and 2.
1.506 in words is one point five zero six.
Because the digit 5 is in the thousandths place. Therefore, 1.506 represents one and five hundred six thousandths.
1.506 is 1506/1000 exactly and 753/500 in lowest terms.
Yes. Divide its numerator and denominator by 2 to get 753/500.
1.506 is equal to 150.6%.
Yes. 1.506 and 1.5060 have the same numerical value. However, 1.506 is written to the thousandths place, while 1.5060 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.506 is ten times as large as 0.1506.
1.506 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and five hundred six thousandths.