Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 205/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.205 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.205 in words is one point two zero five.
The digits 1 form the whole-number part, while 2 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 | 2 | tenth | 2/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 5 | thousandth | 5/1000 |
1.205 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.205 = 1 + 2/10 + 5/1000
1.205 = 1 + 205/1000
1.205 = 1 41/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.205 = 1205/1000
The greatest common divisor of 1205 and 1000 is 5.
1205 ÷ 5 = 241
1000 ÷ 5 = 200
Therefore, 1205/1000 = 241/200.
As a mixed fraction, the value is 1 41/200.
To convert 1.205 to a percentage, multiply it by 100.
1.205 × 100 = 120.5
Therefore, 1.205 = 120.5%.
1.205 = 1.2050 = 1.20500
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 |
|---|---|---|---|
| 1.205 | thousandths | 1205/1000 | 241/200 |
| 1.2050 | ten-thousandths | 12050/10000 | 241/200 |
| 1.20500 | hundred-thousandths | 120500/100000 | 241/200 |
This mixed decimal combines the whole part 1 with the fractional part 205/1000. In place-value words, "and" marks that boundary.
1.205 lies between 1 and 2. It is 0.795 below 2 and 0.205 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1205 | zero point one two zero five | one thousand two hundred five ten-thousandths | 241/2000 | 12.05% | ten times smaller than 1.205 |
| 1.205 | one point two zero five | one and two hundred five thousandths | 241/200 | 120.5% | current value |
| 1.2050 | one point two zero five zero | one and two thousand fifty ten-thousandths | 241/200 | 120.5% | same numerical value, written to the ten-thousandths place |
| 12.05 | twelve point zero five | twelve and five hundredths | 241/20 | 1205% | ten times larger than 1.205 |
One point two zero five.
One and two hundred five thousandths.
241/200.
120.5%.
1 41/200.
Between 1 and 2.
1.205 in words is one point two zero five.
Because the digit 2 is in the thousandths place. Therefore, 1.205 represents one and two hundred five thousandths.
1.205 is 1205/1000 exactly and 241/200 in lowest terms.
Yes. Divide its numerator and denominator by 5 to get 241/200.
1.205 is equal to 120.5%.
Yes. 1.205 and 1.2050 have the same numerical value. However, 1.205 is written to the thousandths place, while 1.2050 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.205 is ten times as large as 0.1205.
1.205 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and two hundred five thousandths.