Why the Zeros After the Point Matter
1.055 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
Decimal in the thousandths place
1.055 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.055 in words is one point zero five five.
The digits 1 form the whole-number part, while 0 in the tenth place, 5 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 5 | hundredth | 5/100 |
| Decimal part | 5 | thousandth | 5/1000 |
1.055 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
1.055 = 1 + 5/100 + 5/1000
1.055 = 1 + 55/1000
1.055 = 1 11/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.055 = 1055/1000
The greatest common divisor of 1055 and 1000 is 5.
1055 ÷ 5 = 211
1000 ÷ 5 = 200
Therefore, 1055/1000 = 211/200.
As a mixed fraction, the value is 1 11/200.
To convert 1.055 to a percentage, multiply it by 100.
1.055 × 100 = 105.5
Therefore, 1.055 = 105.5%.
1.055 = 1.0550 = 1.05500
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 |
|---|---|---|---|
| 1.055 | thousandths | 1055/1000 | 211/200 |
| 1.0550 | ten-thousandths | 10550/10000 | 211/200 |
| 1.05500 | hundred-thousandths | 105500/100000 | 211/200 |
1.055 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
This mixed decimal combines the whole part 1 with the fractional part 55/1000. In place-value words, "and" marks that boundary.
1.055 lies between 1 and 2. It is 0.945 below 2 and 0.055 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1055 | zero point one zero five five | one thousand fifty-five ten-thousandths | 211/2000 | 10.55% | ten times smaller than 1.055 |
| 1.055 | one point zero five five | one and fifty-five thousandths | 211/200 | 105.5% | current value |
| 1.0550 | one point zero five five zero | one and five hundred fifty ten-thousandths | 211/200 | 105.5% | same numerical value, written to the ten-thousandths place |
| 10.55 | ten point five five | ten and fifty-five hundredths | 211/20 | 1055% | ten times larger than 1.055 |
One point zero five five.
One and fifty-five thousandths.
211/200.
105.5%.
1 11/200.
Between 1 and 2.
1.055 in words is one point zero five five.
Because the digit 5 is in the thousandths place. Therefore, 1.055 represents one and fifty-five thousandths.
1.055 is 1055/1000 exactly and 211/200 in lowest terms.
Yes. Divide its numerator and denominator by 5 to get 211/200.
1.055 is equal to 105.5%.
Yes. 1.055 and 1.0550 have the same numerical value. However, 1.055 is written to the thousandths place, while 1.0550 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.055 is ten times as large as 0.1055.
1.055 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and fifty-five thousandths.