Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 702/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.702 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.702 in words is one point seven zero two.
The digits 1 form the whole-number part, while 7 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 | 7 | tenth | 7/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 2 | thousandth | 2/1000 |
1.702 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.702 = 1 + 7/10 + 2/1000
1.702 = 1 + 702/1000
1.702 = 1 351/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.702 = 1702/1000
The greatest common divisor of 1702 and 1000 is 2.
1702 ÷ 2 = 851
1000 ÷ 2 = 500
Therefore, 1702/1000 = 851/500.
As a mixed fraction, the value is 1 351/500.
To convert 1.702 to a percentage, multiply it by 100.
1.702 × 100 = 170.2
Therefore, 1.702 = 170.2%.
1.702 = 1.7020 = 1.70200
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 |
|---|---|---|---|
| 1.702 | thousandths | 1702/1000 | 851/500 |
| 1.7020 | ten-thousandths | 17020/10000 | 851/500 |
| 1.70200 | hundred-thousandths | 170200/100000 | 851/500 |
This mixed decimal combines the whole part 1 with the fractional part 702/1000. In place-value words, "and" marks that boundary.
1.702 lies between 1 and 2. It is 0.298 below 2 and 0.702 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1702 | zero point one seven zero two | one thousand seven hundred two ten-thousandths | 851/5000 | 17.02% | ten times smaller than 1.702 |
| 1.702 | one point seven zero two | one and seven hundred two thousandths | 851/500 | 170.2% | current value |
| 1.7020 | one point seven zero two zero | one and seven thousand twenty ten-thousandths | 851/500 | 170.2% | same numerical value, written to the ten-thousandths place |
| 17.02 | seventeen point zero two | seventeen and two hundredths | 851/50 | 1702% | ten times larger than 1.702 |
One point seven zero two.
One and seven hundred two thousandths.
851/500.
170.2%.
1 351/500.
Between 1 and 2.
1.702 in words is one point seven zero two.
Because the digit 7 is in the thousandths place. Therefore, 1.702 represents one and seven hundred two thousandths.
1.702 is 1702/1000 exactly and 851/500 in lowest terms.
Yes. Divide its numerator and denominator by 2 to get 851/500.
1.702 is equal to 170.2%.
Yes. 1.702 and 1.7020 have the same numerical value. However, 1.702 is written to the thousandths place, while 1.7020 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.702 is ten times as large as 0.1702.
1.702 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and seven hundred two thousandths.