Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 342/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.342 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.342 in words is one point three four two.
The digits 1 form the whole-number part, while 3 in the tenth place, 4 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 2 | thousandth | 2/1000 |
1.342 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.342 = 1 + 3/10 + 4/100 + 2/1000
1.342 = 1 + 342/1000
1.342 = 1 171/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.342 = 1342/1000
The greatest common divisor of 1342 and 1000 is 2.
1342 ÷ 2 = 671
1000 ÷ 2 = 500
Therefore, 1342/1000 = 671/500.
As a mixed fraction, the value is 1 171/500.
To convert 1.342 to a percentage, multiply it by 100.
1.342 × 100 = 134.2
Therefore, 1.342 = 134.2%.
1.342 = 1.3420 = 1.34200
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 |
|---|---|---|---|
| 1.342 | thousandths | 1342/1000 | 671/500 |
| 1.3420 | ten-thousandths | 13420/10000 | 671/500 |
| 1.34200 | hundred-thousandths | 134200/100000 | 671/500 |
This mixed decimal combines the whole part 1 with the fractional part 342/1000. In place-value words, "and" marks that boundary.
1.342 lies between 1 and 2. It is 0.658 below 2 and 0.342 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1342 | zero point one three four two | one thousand three hundred forty-two ten-thousandths | 671/5000 | 13.42% | ten times smaller than 1.342 |
| 1.342 | one point three four two | one and three hundred forty-two thousandths | 671/500 | 134.2% | current value |
| 1.3420 | one point three four two zero | one and three thousand four hundred twenty ten-thousandths | 671/500 | 134.2% | same numerical value, written to the ten-thousandths place |
| 13.42 | thirteen point four two | thirteen and forty-two hundredths | 671/50 | 1342% | ten times larger than 1.342 |
One point three four two.
One and three hundred forty-two thousandths.
671/500.
134.2%.
1 171/500.
Between 1 and 2.
1.342 in words is one point three four two.
Because the digit 3 is in the thousandths place. Therefore, 1.342 represents one and three hundred forty-two thousandths.
1.342 is 1342/1000 exactly and 671/500 in lowest terms.
Yes. Divide its numerator and denominator by 2 to get 671/500.
1.342 is equal to 134.2%.
Yes. 1.342 and 1.3420 have the same numerical value. However, 1.342 is written to the thousandths place, while 1.3420 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.342 is ten times as large as 0.1342.
1.342 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred forty-two thousandths.