Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 352/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.352 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.352 in words is one point three five two.
The digits 1 form the whole-number part, while 3 in the tenth place, 5 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 | 5 | hundredth | 5/100 |
| Decimal part | 2 | thousandth | 2/1000 |
1.352 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.352 = 1 + 3/10 + 5/100 + 2/1000
1.352 = 1 + 352/1000
1.352 = 1 44/125
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.352 = 1352/1000
The greatest common divisor of 1352 and 1000 is 8.
1352 ÷ 8 = 169
1000 ÷ 8 = 125
Therefore, 1352/1000 = 169/125.
As a mixed fraction, the value is 1 44/125.
To convert 1.352 to a percentage, multiply it by 100.
1.352 × 100 = 135.2
Therefore, 1.352 = 135.2%.
1.352 = 1.3520 = 1.35200
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 |
|---|---|---|---|
| 1.352 | thousandths | 1352/1000 | 169/125 |
| 1.3520 | ten-thousandths | 13520/10000 | 169/125 |
| 1.35200 | hundred-thousandths | 135200/100000 | 169/125 |
This mixed decimal combines the whole part 1 with the fractional part 352/1000. In place-value words, "and" marks that boundary.
1.352 lies between 1 and 2. It is 0.648 below 2 and 0.352 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1352 | zero point one three five two | one thousand three hundred fifty-two ten-thousandths | 169/1250 | 13.52% | ten times smaller than 1.352 |
| 1.352 | one point three five two | one and three hundred fifty-two thousandths | 169/125 | 135.2% | current value |
| 1.3520 | one point three five two zero | one and three thousand five hundred twenty ten-thousandths | 169/125 | 135.2% | same numerical value, written to the ten-thousandths place |
| 13.52 | thirteen point five two | thirteen and fifty-two hundredths | 338/25 | 1352% | ten times larger than 1.352 |
One point three five two.
One and three hundred fifty-two thousandths.
169/125.
135.2%.
1 44/125.
Between 1 and 2.
1.352 in words is one point three five two.
Because the digit 3 is in the thousandths place. Therefore, 1.352 represents one and three hundred fifty-two thousandths.
1.352 is 1352/1000 exactly and 169/125 in lowest terms.
Yes. Divide its numerator and denominator by 8 to get 169/125.
1.352 is equal to 135.2%.
Yes. 1.352 and 1.3520 have the same numerical value. However, 1.352 is written to the thousandths place, while 1.3520 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.352 is ten times as large as 0.1352.
1.352 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred fifty-two thousandths.