Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 334/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.334 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
1.334 in words is one point three three four.
The digits 1 form the whole-number part, while 3 in the tenth place, 3 in the hundredth place, and 4 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 | 4 | thousandth | 4/1000 |
1.334 is a positive terminating decimal greater than 1. It is written to the thousandths place.
1.334 = 1 + 3/10 + 3/100 + 4/1000
1.334 = 1 + 334/1000
1.334 = 1 167/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
1.334 = 1334/1000
The greatest common divisor of 1334 and 1000 is 2.
1334 ÷ 2 = 667
1000 ÷ 2 = 500
Therefore, 1334/1000 = 667/500.
As a mixed fraction, the value is 1 167/500.
To convert 1.334 to a percentage, multiply it by 100.
1.334 × 100 = 133.4
Therefore, 1.334 = 133.4%.
1.334 = 1.3340 = 1.33400
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 |
|---|---|---|---|
| 1.334 | thousandths | 1334/1000 | 667/500 |
| 1.3340 | ten-thousandths | 13340/10000 | 667/500 |
| 1.33400 | hundred-thousandths | 133400/100000 | 667/500 |
This mixed decimal combines the whole part 1 with the fractional part 334/1000. In place-value words, "and" marks that boundary.
1.334 lies between 1 and 2. It is 0.666 below 2 and 0.334 above 1.
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1334 | zero point one three three four | one thousand three hundred thirty-four ten-thousandths | 667/5000 | 13.34% | ten times smaller than 1.334 |
| 1.334 | one point three three four | one and three hundred thirty-four thousandths | 667/500 | 133.4% | current value |
| 1.3340 | one point three three four zero | one and three thousand three hundred forty ten-thousandths | 667/500 | 133.4% | same numerical value, written to the ten-thousandths place |
| 13.34 | thirteen point three four | thirteen and thirty-four hundredths | 667/50 | 1334% | ten times larger than 1.334 |
One point three three four.
One and three hundred thirty-four thousandths.
667/500.
133.4%.
1 167/500.
Between 1 and 2.
1.334 in words is one point three three four.
Because the digit 3 is in the thousandths place. Therefore, 1.334 represents one and three hundred thirty-four thousandths.
1.334 is 1334/1000 exactly and 667/500 in lowest terms.
Yes. Divide its numerator and denominator by 2 to get 667/500.
1.334 is equal to 133.4%.
Yes. 1.334 and 1.3340 have the same numerical value. However, 1.334 is written to the thousandths place, while 1.3340 is written to the ten-thousandths place and may communicate greater recorded precision.
Yes. 1.334 is ten times as large as 0.1334.
1.334 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred thirty-four thousandths.