Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 704/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.704 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.704 in words is one point seven zero four.
The digits 1 form the whole-number part, while 7 in the tenth place, 0 in the hundredth place, and 4 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 | 4 | thousandth | 4/1000 |
1.704 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.704 = 1 + 7/10 + 4/1000
1.704 = 1 + 704/1000
1.704 = 1 88/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.704 = 1704/1000
The greatest common divisor of 1704 and 1000 is 8.
1704 ÷ 8 = 213
1000 ÷ 8 = 125
Therefore, 1704/1000 = 213/125.
As a mixed fraction, the value is 1 88/125.
To convert 1.704 to a percentage, multiply it by 100.
1.704 × 100 = 170.4
Therefore, 1.704 = 170.4%.
1.704 = 1.7040 = 1.70400
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 |
|---|---|---|---|
| 1.704 | thousandths | 1704/1000 | 213/125 |
| 1.7040 | ten-thousandths | 17040/10000 | 213/125 |
| 1.70400 | hundred-thousandths | 170400/100000 | 213/125 |
This mixed decimal combines the whole part 1 with the fractional part 704/1000. In place-value words, "and" marks that boundary.
1.704 lies between 1 and 2. It is 0.296 below 2 and 0.704 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1704 | zero point one seven zero four | one thousand seven hundred four ten-thousandths | 213/1250 | 17.04% | ten times smaller than 1.704 |
| 1.704 | one point seven zero four | one and seven hundred four thousandths | 213/125 | 170.4% | current value |
| 1.7040 | one point seven zero four zero | one and seven thousand forty ten-thousandths | 213/125 | 170.4% | same numerical value, written to the ten-thousandths place |
| 17.04 | seventeen point zero four | seventeen and four hundredths | 426/25 | 1704% | ten times larger than 1.704 |
One point seven zero four.
One and seven hundred four thousandths.
213/125.
170.4%.
1 88/125.
Between 1 and 2.
1.704 in words is one point seven zero four.
Because the digit 7 is in the thousandths place. Therefore, 1.704 represents one and seven hundred four thousandths.
1.704 is 1704/1000 exactly and 213/125 in lowest terms.
Yes. Divide its numerator and denominator by 8 to get 213/125.
1.704 is equal to 170.4%.
Yes. 1.704 and 1.7040 have the same numerical value. However, 1.704 is written to the thousandths place, while 1.7040 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.704 is ten times as large as 0.1704.
1.704 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and seven hundred four thousandths.