Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 267/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.267 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.267 in words is one point two six seven.
The digits 1 form the whole-number part, while 2 in the tenth place, 6 in the hundredth place, and 7 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 2 | tenth | 2/10 |
| Decimal part | 6 | hundredth | 6/100 |
| Decimal part | 7 | thousandth | 7/1000 |
1.267 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.267 = 1 + 2/10 + 6/100 + 7/1000
1.267 = 1 + 267/1000
1.267 = 1 267/1000
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 1267/1000.
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 1 267/1000.
To convert 1.267 to a percentage, multiply it by 100.
1.267 × 100 = 126.7
Therefore, 1.267 = 126.7%.
1.267 = 1.2670 = 1.26700
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 |
|---|---|---|---|
| 1.267 | thousandths | 1267/1000 | 1267/1000 |
| 1.2670 | ten-thousandths | 12670/10000 | 1267/1000 |
| 1.26700 | hundred-thousandths | 126700/100000 | 1267/1000 |
This mixed decimal combines the whole part 1 with the fractional part 267/1000. In place-value words, "and" marks that boundary.
1.267 lies between 1 and 2. It is 0.733 below 2 and 0.267 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1267 | zero point one two six seven | one thousand two hundred sixty-seven ten-thousandths | 1267/10000 | 12.67% | ten times smaller than 1.267 |
| 1.267 | one point two six seven | one and two hundred sixty-seven thousandths | 1267/1000 | 126.7% | current value |
| 1.2670 | one point two six seven zero | one and two thousand six hundred seventy ten-thousandths | 1267/1000 | 126.7% | same numerical value, written to the ten-thousandths place |
| 12.67 | twelve point six seven | twelve and sixty-seven hundredths | 1267/100 | 1267% | ten times larger than 1.267 |
One point two six seven.
One and two hundred sixty-seven thousandths.
1267/1000.
126.7%.
1 267/1000.
Between 1 and 2.
1.267 in words is one point two six seven.
Because the digit 2 is in the thousandths place. Therefore, 1.267 represents one and two hundred sixty-seven thousandths.
1.267 is 1267/1000 exactly and 1267/1000 in lowest terms.
Yes. Its numerator and denominator have a greatest common divisor of 1.
1.267 is equal to 126.7%.
Yes. 1.267 and 1.2670 have the same numerical value. However, 1.267 is written to the thousandths place, while 1.2670 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.267 is ten times as large as 0.1267.
1.267 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and two hundred sixty-seven thousandths.