Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 104/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.104 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.104 in words is one point one zero four.
The digits 1 form the whole-number part, while 1 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 | 1 | tenth | 1/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 4 | thousandth | 4/1000 |
1.104 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.104 = 1 + 1/10 + 4/1000
1.104 = 1 + 104/1000
1.104 = 1 13/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.104 = 1104/1000
The greatest common divisor of 1104 and 1000 is 8.
1104 ÷ 8 = 138
1000 ÷ 8 = 125
Therefore, 1104/1000 = 138/125.
As a mixed fraction, the value is 1 13/125.
To convert 1.104 to a percentage, multiply it by 100.
1.104 × 100 = 110.4
Therefore, 1.104 = 110.4%.
1.104 = 1.1040 = 1.10400
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 |
|---|---|---|---|
| 1.104 | thousandths | 1104/1000 | 138/125 |
| 1.1040 | ten-thousandths | 11040/10000 | 138/125 |
| 1.10400 | hundred-thousandths | 110400/100000 | 138/125 |
This mixed decimal combines the whole part 1 with the fractional part 104/1000. In place-value words, "and" marks that boundary.
1.104 lies between 1 and 2. It is 0.896 below 2 and 0.104 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1104 | zero point one one zero four | one thousand one hundred four ten-thousandths | 69/625 | 11.04% | ten times smaller than 1.104 |
| 1.104 | one point one zero four | one and one hundred four thousandths | 138/125 | 110.4% | current value |
| 1.1040 | one point one zero four zero | one and one thousand forty ten-thousandths | 138/125 | 110.4% | same numerical value, written to the ten-thousandths place |
| 11.04 | eleven point zero four | eleven and four hundredths | 276/25 | 1104% | ten times larger than 1.104 |
One point one zero four.
One and one hundred four thousandths.
138/125.
110.4%.
1 13/125.
Between 1 and 2.
1.104 in words is one point one zero four.
Because the digit 1 is in the thousandths place. Therefore, 1.104 represents one and one hundred four thousandths.
1.104 is 1104/1000 exactly and 138/125 in lowest terms.
Yes. Divide its numerator and denominator by 8 to get 138/125.
1.104 is equal to 110.4%.
Yes. 1.104 and 1.1040 have the same numerical value. However, 1.104 is written to the thousandths place, while 1.1040 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.104 is ten times as large as 0.1104.
1.104 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred four thousandths.