Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 426/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.426 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.426 in words is one point four two six.
The digits 1 form the whole-number part, while 4 in the tenth place, 2 in the hundredth place, and 6 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 6 | thousandth | 6/1000 |
1.426 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.426 = 1 + 4/10 + 2/100 + 6/1000
1.426 = 1 + 426/1000
1.426 = 1 213/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.426 = 1426/1000
The greatest common divisor of 1426 and 1000 is 2.
1426 ÷ 2 = 713
1000 ÷ 2 = 500
Therefore, 1426/1000 = 713/500.
As a mixed fraction, the value is 1 213/500.
To convert 1.426 to a percentage, multiply it by 100.
1.426 × 100 = 142.6
Therefore, 1.426 = 142.6%.
1.426 = 1.4260 = 1.42600
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 |
|---|---|---|---|
| 1.426 | thousandths | 1426/1000 | 713/500 |
| 1.4260 | ten-thousandths | 14260/10000 | 713/500 |
| 1.42600 | hundred-thousandths | 142600/100000 | 713/500 |
This mixed decimal combines the whole part 1 with the fractional part 426/1000. In place-value words, "and" marks that boundary.
1.426 lies between 1 and 2. It is 0.574 below 2 and 0.426 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1426 | zero point one four two six | one thousand four hundred twenty-six ten-thousandths | 713/5000 | 14.26% | ten times smaller than 1.426 |
| 1.426 | one point four two six | one and four hundred twenty-six thousandths | 713/500 | 142.6% | current value |
| 1.4260 | one point four two six zero | one and four thousand two hundred sixty ten-thousandths | 713/500 | 142.6% | same numerical value, written to the ten-thousandths place |
| 14.26 | fourteen point two six | fourteen and twenty-six hundredths | 713/50 | 1426% | ten times larger than 1.426 |
One point four two six.
One and four hundred twenty-six thousandths.
713/500.
142.6%.
1 213/500.
Between 1 and 2.
1.426 in words is one point four two six.
Because the digit 4 is in the thousandths place. Therefore, 1.426 represents one and four hundred twenty-six thousandths.
1.426 is 1426/1000 exactly and 713/500 in lowest terms.
Yes. Divide its numerator and denominator by 2 to get 713/500.
1.426 is equal to 142.6%.
Yes. 1.426 and 1.4260 have the same numerical value. However, 1.426 is written to the thousandths place, while 1.4260 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.426 is ten times as large as 0.1426.
1.426 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and four hundred twenty-six thousandths.