Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 132/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.132 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.132 in words is one point one three two.
The digits 1 form the whole-number part, while 1 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 | 1 | tenth | 1/10 |
| Decimal part | 3 | hundredth | 3/100 |
| Decimal part | 2 | thousandth | 2/1000 |
1.132 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.132 = 1 + 1/10 + 3/100 + 2/1000
1.132 = 1 + 132/1000
1.132 = 1 33/250
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.132 = 1132/1000
The greatest common divisor of 1132 and 1000 is 4.
1132 ÷ 4 = 283
1000 ÷ 4 = 250
Therefore, 1132/1000 = 283/250.
As a mixed fraction, the value is 1 33/250.
To convert 1.132 to a percentage, multiply it by 100.
1.132 × 100 = 113.2
Therefore, 1.132 = 113.2%.
1.132 = 1.1320 = 1.13200
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 |
|---|---|---|---|
| 1.132 | thousandths | 1132/1000 | 283/250 |
| 1.1320 | ten-thousandths | 11320/10000 | 283/250 |
| 1.13200 | hundred-thousandths | 113200/100000 | 283/250 |
This mixed decimal combines the whole part 1 with the fractional part 132/1000. In place-value words, "and" marks that boundary.
1.132 lies between 1 and 2. It is 0.868 below 2 and 0.132 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1132 | zero point one one three two | one thousand one hundred thirty-two ten-thousandths | 283/2500 | 11.32% | ten times smaller than 1.132 |
| 1.132 | one point one three two | one and one hundred thirty-two thousandths | 283/250 | 113.2% | current value |
| 1.1320 | one point one three two zero | one and one thousand three hundred twenty ten-thousandths | 283/250 | 113.2% | same numerical value, written to the ten-thousandths place |
| 11.32 | eleven point three two | eleven and thirty-two hundredths | 283/25 | 1132% | ten times larger than 1.132 |
One point one three two.
One and one hundred thirty-two thousandths.
283/250.
113.2%.
1 33/250.
Between 1 and 2.
1.132 in words is one point one three two.
Because the digit 1 is in the thousandths place. Therefore, 1.132 represents one and one hundred thirty-two thousandths.
1.132 is 1132/1000 exactly and 283/250 in lowest terms.
Yes. Divide its numerator and denominator by 4 to get 283/250.
1.132 is equal to 113.2%.
Yes. 1.132 and 1.1320 have the same numerical value. However, 1.132 is written to the thousandths place, while 1.1320 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.132 is ten times as large as 0.1132.
1.132 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred thirty-two thousandths.