Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 335/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.335 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.335 in words is one point three three five.
The digits 1 form the whole-number part, while 3 in the tenth place, 3 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 | 3 | hundredth | 3/100 |
| Decimal part | 5 | thousandth | 5/1000 |
1.335 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.335 = 1 + 3/10 + 3/100 + 5/1000
1.335 = 1 + 335/1000
1.335 = 1 67/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.335 = 1335/1000
The greatest common divisor of 1335 and 1000 is 5.
1335 ÷ 5 = 267
1000 ÷ 5 = 200
Therefore, 1335/1000 = 267/200.
As a mixed fraction, the value is 1 67/200.
To convert 1.335 to a percentage, multiply it by 100.
1.335 × 100 = 133.5
Therefore, 1.335 = 133.5%.
1.335 = 1.3350 = 1.33500
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 |
|---|---|---|---|
| 1.335 | thousandths | 1335/1000 | 267/200 |
| 1.3350 | ten-thousandths | 13350/10000 | 267/200 |
| 1.33500 | hundred-thousandths | 133500/100000 | 267/200 |
This mixed decimal combines the whole part 1 with the fractional part 335/1000. In place-value words, "and" marks that boundary.
1.335 lies between 1 and 2. It is 0.665 below 2 and 0.335 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1335 | zero point one three three five | one thousand three hundred thirty-five ten-thousandths | 267/2000 | 13.35% | ten times smaller than 1.335 |
| 1.335 | one point three three five | one and three hundred thirty-five thousandths | 267/200 | 133.5% | current value |
| 1.3350 | one point three three five zero | one and three thousand three hundred fifty ten-thousandths | 267/200 | 133.5% | same numerical value, written to the ten-thousandths place |
| 13.35 | thirteen point three five | thirteen and thirty-five hundredths | 267/20 | 1335% | ten times larger than 1.335 |
One point three three five.
One and three hundred thirty-five thousandths.
267/200.
133.5%.
1 67/200.
Between 1 and 2.
1.335 in words is one point three three five.
Because the digit 3 is in the thousandths place. Therefore, 1.335 represents one and three hundred thirty-five thousandths.
1.335 is 1335/1000 exactly and 267/200 in lowest terms.
Yes. Divide its numerator and denominator by 5 to get 267/200.
1.335 is equal to 133.5%.
Yes. 1.335 and 1.3350 have the same numerical value. However, 1.335 is written to the thousandths place, while 1.3350 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.335 is ten times as large as 0.1335.
1.335 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred thirty-five thousandths.