Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 442/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.442 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.442 in words is one point four four two.
The digits 1 form the whole-number part, while 4 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 | 4 | tenth | 4/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 2 | thousandth | 2/1000 |
1.442 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.442 = 1 + 4/10 + 4/100 + 2/1000
1.442 = 1 + 442/1000
1.442 = 1 221/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.442 = 1442/1000
The greatest common divisor of 1442 and 1000 is 2.
1442 ÷ 2 = 721
1000 ÷ 2 = 500
Therefore, 1442/1000 = 721/500.
As a mixed fraction, the value is 1 221/500.
To convert 1.442 to a percentage, multiply it by 100.
1.442 × 100 = 144.2
Therefore, 1.442 = 144.2%.
1.442 = 1.4420 = 1.44200
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 |
|---|---|---|---|
| 1.442 | thousandths | 1442/1000 | 721/500 |
| 1.4420 | ten-thousandths | 14420/10000 | 721/500 |
| 1.44200 | hundred-thousandths | 144200/100000 | 721/500 |
This mixed decimal combines the whole part 1 with the fractional part 442/1000. In place-value words, "and" marks that boundary.
1.442 lies between 1 and 2. It is 0.558 below 2 and 0.442 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1442 | zero point one four four two | one thousand four hundred forty-two ten-thousandths | 721/5000 | 14.42% | ten times smaller than 1.442 |
| 1.442 | one point four four two | one and four hundred forty-two thousandths | 721/500 | 144.2% | current value |
| 1.4420 | one point four four two zero | one and four thousand four hundred twenty ten-thousandths | 721/500 | 144.2% | same numerical value, written to the ten-thousandths place |
| 14.42 | fourteen point four two | fourteen and forty-two hundredths | 721/50 | 1442% | ten times larger than 1.442 |
One point four four two.
One and four hundred forty-two thousandths.
721/500.
144.2%.
1 221/500.
Between 1 and 2.
1.442 in words is one point four four two.
Because the digit 4 is in the thousandths place. Therefore, 1.442 represents one and four hundred forty-two thousandths.
1.442 is 1442/1000 exactly and 721/500 in lowest terms.
Yes. Divide its numerator and denominator by 2 to get 721/500.
1.442 is equal to 144.2%.
Yes. 1.442 and 1.4420 have the same numerical value. However, 1.442 is written to the thousandths place, while 1.4420 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.442 is ten times as large as 0.1442.
1.442 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and four hundred forty-two thousandths.