Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 105/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.105 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.105 in words is one point one zero five.
The digits 1 form the whole-number part, while 1 in the tenth place, 0 in the hundredth place, and 5 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 | 5 | thousandth | 5/1000 |
1.105 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.105 = 1 + 1/10 + 5/1000
1.105 = 1 + 105/1000
1.105 = 1 21/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.105 = 1105/1000
The greatest common divisor of 1105 and 1000 is 5.
1105 ÷ 5 = 221
1000 ÷ 5 = 200
Therefore, 1105/1000 = 221/200.
As a mixed fraction, the value is 1 21/200.
To convert 1.105 to a percentage, multiply it by 100.
1.105 × 100 = 110.5
Therefore, 1.105 = 110.5%.
1.105 = 1.1050 = 1.10500
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 |
|---|---|---|---|
| 1.105 | thousandths | 1105/1000 | 221/200 |
| 1.1050 | ten-thousandths | 11050/10000 | 221/200 |
| 1.10500 | hundred-thousandths | 110500/100000 | 221/200 |
This mixed decimal combines the whole part 1 with the fractional part 105/1000. In place-value words, "and" marks that boundary.
1.105 lies between 1 and 2. It is 0.895 below 2 and 0.105 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1105 | zero point one one zero five | one thousand one hundred five ten-thousandths | 221/2000 | 11.05% | ten times smaller than 1.105 |
| 1.105 | one point one zero five | one and one hundred five thousandths | 221/200 | 110.5% | current value |
| 1.1050 | one point one zero five zero | one and one thousand fifty ten-thousandths | 221/200 | 110.5% | same numerical value, written to the ten-thousandths place |
| 11.05 | eleven point zero five | eleven and five hundredths | 221/20 | 1105% | ten times larger than 1.105 |
One point one zero five.
One and one hundred five thousandths.
221/200.
110.5%.
1 21/200.
Between 1 and 2.
1.105 in words is one point one zero five.
Because the digit 1 is in the thousandths place. Therefore, 1.105 represents one and one hundred five thousandths.
1.105 is 1105/1000 exactly and 221/200 in lowest terms.
Yes. Divide its numerator and denominator by 5 to get 221/200.
1.105 is equal to 110.5%.
Yes. 1.105 and 1.1050 have the same numerical value. However, 1.105 is written to the thousandths place, while 1.1050 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.105 is ten times as large as 0.1105.
1.105 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred five thousandths.