Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 107/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.107 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.107 in words is one point one zero seven.
The digits 1 form the whole-number part, while 1 in the tenth place, 0 in the hundredth place, and 7 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 | 7 | thousandth | 7/1000 |
1.107 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.107 = 1 + 1/10 + 7/1000
1.107 = 1 + 107/1000
1.107 = 1 107/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
There are 3 decimal places, so the exact fraction is 1107/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
As a mixed fraction, the value is 1 107/1000.
To convert 1.107 to a percentage, multiply it by 100.
1.107 × 100 = 110.7
Therefore, 1.107 = 110.7%.
1.107 = 1.1070 = 1.10700
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 |
|---|---|---|---|
| 1.107 | thousandths | 1107/1000 | 1107/1000 |
| 1.1070 | ten-thousandths | 11070/10000 | 1107/1000 |
| 1.10700 | hundred-thousandths | 110700/100000 | 1107/1000 |
This mixed decimal combines the whole part 1 with the fractional part 107/1000. In place-value words, "and" marks that boundary.
1.107 lies between 1 and 2. It is 0.893 below 2 and 0.107 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1107 | zero point one one zero seven | one thousand one hundred seven ten-thousandths | 1107/10000 | 11.07% | ten times smaller than 1.107 |
| 1.107 | one point one zero seven | one and one hundred seven thousandths | 1107/1000 | 110.7% | current value |
| 1.1070 | one point one zero seven zero | one and one thousand seventy ten-thousandths | 1107/1000 | 110.7% | same numerical value, written to the ten-thousandths place |
| 11.07 | eleven point zero seven | eleven and seven hundredths | 1107/100 | 1107% | ten times larger than 1.107 |
One point one zero seven.
One and one hundred seven thousandths.
1107/1000.
110.7%.
1 107/1000.
Between 1 and 2.
1.107 in words is one point one zero seven.
Because the digit 1 is in the thousandths place. Therefore, 1.107 represents one and one hundred seven thousandths.
1.107 is 1107/1000 exactly and 1107/1000 in lowest terms.
Yes. Its numerator and denominator have a greatest common divisor of 1.
1.107 is equal to 110.7%.
Yes. 1.107 and 1.1070 have the same numerical value. However, 1.107 is written to the thousandths place, while 1.1070 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.107 is ten times as large as 0.1107.
1.107 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred seven thousandths.