Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 432/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.432 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.432 in words is one point four three two.
The digits 1 form the whole-number part, while 4 in the tenth place, 3 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 | 3 | hundredth | 3/100 |
| Decimal part | 2 | thousandth | 2/1000 |
1.432 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.432 = 1 + 4/10 + 3/100 + 2/1000
1.432 = 1 + 432/1000
1.432 = 1 54/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.432 = 1432/1000
The greatest common divisor of 1432 and 1000 is 8.
1432 ÷ 8 = 179
1000 ÷ 8 = 125
Therefore, 1432/1000 = 179/125.
As a mixed fraction, the value is 1 54/125.
To convert 1.432 to a percentage, multiply it by 100.
1.432 × 100 = 143.2
Therefore, 1.432 = 143.2%.
1.432 = 1.4320 = 1.43200
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 |
|---|---|---|---|
| 1.432 | thousandths | 1432/1000 | 179/125 |
| 1.4320 | ten-thousandths | 14320/10000 | 179/125 |
| 1.43200 | hundred-thousandths | 143200/100000 | 179/125 |
This mixed decimal combines the whole part 1 with the fractional part 432/1000. In place-value words, "and" marks that boundary.
1.432 lies between 1 and 2. It is 0.568 below 2 and 0.432 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1432 | zero point one four three two | one thousand four hundred thirty-two ten-thousandths | 179/1250 | 14.32% | ten times smaller than 1.432 |
| 1.432 | one point four three two | one and four hundred thirty-two thousandths | 179/125 | 143.2% | current value |
| 1.4320 | one point four three two zero | one and four thousand three hundred twenty ten-thousandths | 179/125 | 143.2% | same numerical value, written to the ten-thousandths place |
| 14.32 | fourteen point three two | fourteen and thirty-two hundredths | 358/25 | 1432% | ten times larger than 1.432 |
One point four three two.
One and four hundred thirty-two thousandths.
179/125.
143.2%.
1 54/125.
Between 1 and 2.
1.432 in words is one point four three two.
Because the digit 4 is in the thousandths place. Therefore, 1.432 represents one and four hundred thirty-two thousandths.
1.432 is 1432/1000 exactly and 179/125 in lowest terms.
Yes. Divide its numerator and denominator by 8 to get 179/125.
1.432 is equal to 143.2%.
Yes. 1.432 and 1.4320 have the same numerical value. However, 1.432 is written to the thousandths place, while 1.4320 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.432 is ten times as large as 0.1432.
1.432 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and four hundred thirty-two thousandths.