Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 482/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.482 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.482 in words is one point four eight two.
The digits 1 form the whole-number part, while 4 in the tenth place, 8 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 2 | thousandth | 2/1000 |
1.482 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.482 = 1 + 4/10 + 8/100 + 2/1000
1.482 = 1 + 482/1000
1.482 = 1 241/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.482 = 1482/1000
The greatest common divisor of 1482 and 1000 is 2.
1482 ÷ 2 = 741
1000 ÷ 2 = 500
Therefore, 1482/1000 = 741/500.
As a mixed fraction, the value is 1 241/500.
To convert 1.482 to a percentage, multiply it by 100.
1.482 × 100 = 148.2
Therefore, 1.482 = 148.2%.
1.482 = 1.4820 = 1.48200
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 |
|---|---|---|---|
| 1.482 | thousandths | 1482/1000 | 741/500 |
| 1.4820 | ten-thousandths | 14820/10000 | 741/500 |
| 1.48200 | hundred-thousandths | 148200/100000 | 741/500 |
This mixed decimal combines the whole part 1 with the fractional part 482/1000. In place-value words, "and" marks that boundary.
1.482 lies between 1 and 2. It is 0.518 below 2 and 0.482 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1482 | zero point one four eight two | one thousand four hundred eighty-two ten-thousandths | 741/5000 | 14.82% | ten times smaller than 1.482 |
| 1.482 | one point four eight two | one and four hundred eighty-two thousandths | 741/500 | 148.2% | current value |
| 1.4820 | one point four eight two zero | one and four thousand eight hundred twenty ten-thousandths | 741/500 | 148.2% | same numerical value, written to the ten-thousandths place |
| 14.82 | fourteen point eight two | fourteen and eighty-two hundredths | 741/50 | 1482% | ten times larger than 1.482 |
One point four eight two.
One and four hundred eighty-two thousandths.
741/500.
148.2%.
1 241/500.
Between 1 and 2.
1.482 in words is one point four eight two.
Because the digit 4 is in the thousandths place. Therefore, 1.482 represents one and four hundred eighty-two thousandths.
1.482 is 1482/1000 exactly and 741/500 in lowest terms.
Yes. Divide its numerator and denominator by 2 to get 741/500.
1.482 is equal to 148.2%.
Yes. 1.482 and 1.4820 have the same numerical value. However, 1.482 is written to the thousandths place, while 1.4820 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.482 is ten times as large as 0.1482.
1.482 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and four hundred eighty-two thousandths.