Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 325/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.325 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.325 in words is one point three two five.
The digits 1 form the whole-number part, while 3 in the tenth place, 2 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 5 | thousandth | 5/1000 |
1.325 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.325 = 1 + 3/10 + 2/100 + 5/1000
1.325 = 1 + 325/1000
1.325 = 1 13/40
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.325 = 1325/1000
The greatest common divisor of 1325 and 1000 is 25.
1325 ÷ 25 = 53
1000 ÷ 25 = 40
Therefore, 1325/1000 = 53/40.
As a mixed fraction, the value is 1 13/40.
To convert 1.325 to a percentage, multiply it by 100.
1.325 × 100 = 132.5
Therefore, 1.325 = 132.5%.
1.325 = 1.3250 = 1.32500
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 |
|---|---|---|---|
| 1.325 | thousandths | 1325/1000 | 53/40 |
| 1.3250 | ten-thousandths | 13250/10000 | 53/40 |
| 1.32500 | hundred-thousandths | 132500/100000 | 53/40 |
This mixed decimal combines the whole part 1 with the fractional part 325/1000. In place-value words, "and" marks that boundary.
1.325 lies between 1 and 2. It is 0.675 below 2 and 0.325 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1325 | zero point one three two five | one thousand three hundred twenty-five ten-thousandths | 53/400 | 13.25% | ten times smaller than 1.325 |
| 1.325 | one point three two five | one and three hundred twenty-five thousandths | 53/40 | 132.5% | current value |
| 1.3250 | one point three two five zero | one and three thousand two hundred fifty ten-thousandths | 53/40 | 132.5% | same numerical value, written to the ten-thousandths place |
| 13.25 | thirteen point two five | thirteen and twenty-five hundredths | 53/4 | 1325% | ten times larger than 1.325 |
One point three two five.
One and three hundred twenty-five thousandths.
53/40.
132.5%.
1 13/40.
Between 1 and 2.
1.325 in words is one point three two five.
Because the digit 3 is in the thousandths place. Therefore, 1.325 represents one and three hundred twenty-five thousandths.
1.325 is 1325/1000 exactly and 53/40 in lowest terms.
Yes. Divide its numerator and denominator by 25 to get 53/40.
1.325 is equal to 132.5%.
Yes. 1.325 and 1.3250 have the same numerical value. However, 1.325 is written to the thousandths place, while 1.3250 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.325 is ten times as large as 0.1325.
1.325 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred twenty-five thousandths.