Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 262/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.262 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.262 in words is one point two six two.
The digits 1 form the whole-number part, while 2 in the tenth place, 6 in the hundredth place, and 2 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 | 2 | thousandth | 2/1000 |
1.262 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.262 = 1 + 2/10 + 6/100 + 2/1000
1.262 = 1 + 262/1000
1.262 = 1 131/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.262 = 1262/1000
The greatest common divisor of 1262 and 1000 is 2.
1262 ÷ 2 = 631
1000 ÷ 2 = 500
Therefore, 1262/1000 = 631/500.
As a mixed fraction, the value is 1 131/500.
To convert 1.262 to a percentage, multiply it by 100.
1.262 × 100 = 126.2
Therefore, 1.262 = 126.2%.
1.262 = 1.2620 = 1.26200
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 |
|---|---|---|---|
| 1.262 | thousandths | 1262/1000 | 631/500 |
| 1.2620 | ten-thousandths | 12620/10000 | 631/500 |
| 1.26200 | hundred-thousandths | 126200/100000 | 631/500 |
This mixed decimal combines the whole part 1 with the fractional part 262/1000. In place-value words, "and" marks that boundary.
1.262 lies between 1 and 2. It is 0.738 below 2 and 0.262 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1262 | zero point one two six two | one thousand two hundred sixty-two ten-thousandths | 631/5000 | 12.62% | ten times smaller than 1.262 |
| 1.262 | one point two six two | one and two hundred sixty-two thousandths | 631/500 | 126.2% | current value |
| 1.2620 | one point two six two zero | one and two thousand six hundred twenty ten-thousandths | 631/500 | 126.2% | same numerical value, written to the ten-thousandths place |
| 12.62 | twelve point six two | twelve and sixty-two hundredths | 631/50 | 1262% | ten times larger than 1.262 |
One point two six two.
One and two hundred sixty-two thousandths.
631/500.
126.2%.
1 131/500.
Between 1 and 2.
1.262 in words is one point two six two.
Because the digit 2 is in the thousandths place. Therefore, 1.262 represents one and two hundred sixty-two thousandths.
1.262 is 1262/1000 exactly and 631/500 in lowest terms.
Yes. Divide its numerator and denominator by 2 to get 631/500.
1.262 is equal to 126.2%.
Yes. 1.262 and 1.2620 have the same numerical value. However, 1.262 is written to the thousandths place, while 1.2620 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.262 is ten times as large as 0.1262.
1.262 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and two hundred sixty-two thousandths.