Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 424/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.424 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.424 in words is one point four two four.
The digits 1 form the whole-number part, while 4 in the tenth place, 2 in the hundredth place, and 4 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 | 4 | thousandth | 4/1000 |
1.424 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.424 = 1 + 4/10 + 2/100 + 4/1000
1.424 = 1 + 424/1000
1.424 = 1 53/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.424 = 1424/1000
The greatest common divisor of 1424 and 1000 is 8.
1424 ÷ 8 = 178
1000 ÷ 8 = 125
Therefore, 1424/1000 = 178/125.
As a mixed fraction, the value is 1 53/125.
To convert 1.424 to a percentage, multiply it by 100.
1.424 × 100 = 142.4
Therefore, 1.424 = 142.4%.
1.424 = 1.4240 = 1.42400
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 |
|---|---|---|---|
| 1.424 | thousandths | 1424/1000 | 178/125 |
| 1.4240 | ten-thousandths | 14240/10000 | 178/125 |
| 1.42400 | hundred-thousandths | 142400/100000 | 178/125 |
This mixed decimal combines the whole part 1 with the fractional part 424/1000. In place-value words, "and" marks that boundary.
1.424 lies between 1 and 2. It is 0.576 below 2 and 0.424 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1424 | zero point one four two four | one thousand four hundred twenty-four ten-thousandths | 89/625 | 14.24% | ten times smaller than 1.424 |
| 1.424 | one point four two four | one and four hundred twenty-four thousandths | 178/125 | 142.4% | current value |
| 1.4240 | one point four two four zero | one and four thousand two hundred forty ten-thousandths | 178/125 | 142.4% | same numerical value, written to the ten-thousandths place |
| 14.24 | fourteen point two four | fourteen and twenty-four hundredths | 356/25 | 1424% | ten times larger than 1.424 |
One point four two four.
One and four hundred twenty-four thousandths.
178/125.
142.4%.
1 53/125.
Between 1 and 2.
1.424 in words is one point four two four.
Because the digit 4 is in the thousandths place. Therefore, 1.424 represents one and four hundred twenty-four thousandths.
1.424 is 1424/1000 exactly and 178/125 in lowest terms.
Yes. Divide its numerator and denominator by 8 to get 178/125.
1.424 is equal to 142.4%.
Yes. 1.424 and 1.4240 have the same numerical value. However, 1.424 is written to the thousandths place, while 1.4240 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.424 is ten times as large as 0.1424.
1.424 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and four hundred twenty-four thousandths.