Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 602/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.602 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.602 in words is one point six zero two.
The digits 1 form the whole-number part, while 6 in the tenth place, 0 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 6 | tenth | 6/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 2 | thousandth | 2/1000 |
1.602 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.602 = 1 + 6/10 + 2/1000
1.602 = 1 + 602/1000
1.602 = 1 301/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.602 = 1602/1000
The greatest common divisor of 1602 and 1000 is 2.
1602 ÷ 2 = 801
1000 ÷ 2 = 500
Therefore, 1602/1000 = 801/500.
As a mixed fraction, the value is 1 301/500.
To convert 1.602 to a percentage, multiply it by 100.
1.602 × 100 = 160.2
Therefore, 1.602 = 160.2%.
1.602 = 1.6020 = 1.60200
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 |
|---|---|---|---|
| 1.602 | thousandths | 1602/1000 | 801/500 |
| 1.6020 | ten-thousandths | 16020/10000 | 801/500 |
| 1.60200 | hundred-thousandths | 160200/100000 | 801/500 |
This mixed decimal combines the whole part 1 with the fractional part 602/1000. In place-value words, "and" marks that boundary.
1.602 lies between 1 and 2. It is 0.398 below 2 and 0.602 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1602 | zero point one six zero two | one thousand six hundred two ten-thousandths | 801/5000 | 16.02% | ten times smaller than 1.602 |
| 1.602 | one point six zero two | one and six hundred two thousandths | 801/500 | 160.2% | current value |
| 1.6020 | one point six zero two zero | one and six thousand twenty ten-thousandths | 801/500 | 160.2% | same numerical value, written to the ten-thousandths place |
| 16.02 | sixteen point zero two | sixteen and two hundredths | 801/50 | 1602% | ten times larger than 1.602 |
One point six zero two.
One and six hundred two thousandths.
801/500.
160.2%.
1 301/500.
Between 1 and 2.
1.602 in words is one point six zero two.
Because the digit 6 is in the thousandths place. Therefore, 1.602 represents one and six hundred two thousandths.
1.602 is 1602/1000 exactly and 801/500 in lowest terms.
Yes. Divide its numerator and denominator by 2 to get 801/500.
1.602 is equal to 160.2%.
Yes. 1.602 and 1.6020 have the same numerical value. However, 1.602 is written to the thousandths place, while 1.6020 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.602 is ten times as large as 0.1602.
1.602 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and six hundred two thousandths.