Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 338/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.338 in Words
1.338 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.338 in words is one point three three eight.
1.338 Place-Value Breakdown
The digits 1 form the whole-number part, while 3 in the tenth place, 3 in the hundredth place, and 8 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 | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 1.338?
1.338 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.338
1.338 = 1 + 3/10 + 3/100 + 8/1000
1.338 = 1 + 338/1000
1.338 = 1 169/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.338 Simplifies to 669/500
1.338 = 1338/1000
The greatest common divisor of 1338 and 1000 is 2.
1338 ÷ 2 = 669
1000 ÷ 2 = 500
Therefore, 1338/1000 = 669/500.
As a mixed fraction, the value is 1 169/500.
1.338 as a Percentage
To convert 1.338 to a percentage, multiply it by 100.
1.338 × 100 = 133.8
Therefore, 1.338 = 133.8%.
Decimals Equivalent to 1.338
1.338 = 1.3380 = 1.33800
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 |
|---|---|---|---|
| 1.338 | thousandths | 1338/1000 | 669/500 |
| 1.3380 | ten-thousandths | 13380/10000 | 669/500 |
| 1.33800 | hundred-thousandths | 133800/100000 | 669/500 |
1.338 on a Number Line
1.338 lies between 1 and 2. It is 0.662 below 2 and 0.338 above 1.
11.3382
1.338 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1338 | zero point one three three eight | one thousand three hundred thirty-eight ten-thousandths | 669/5000 | 13.38% | ten times smaller than 1.338 |
| 1.338 | one point three three eight | one and three hundred thirty-eight thousandths | 669/500 | 133.8% | current value |
| 1.3380 | one point three three eight zero | one and three thousand three hundred eighty ten-thousandths | 669/500 | 133.8% | same numerical value, written to the ten-thousandths place |
| 13.38 | thirteen point three eight | thirteen and thirty-eight hundredths | 669/50 | 1338% | ten times larger than 1.338 |
Quick Practice
How is 1.338 read digit by digit?
One point three three eight.
What is the place-value word form of 1.338?
One and three hundred thirty-eight thousandths.
What fraction is 1.338 in lowest terms?
669/500.
What percentage is equal to 1.338?
133.8%.
What is 1.338 as a mixed fraction?
1 169/500.
Between which whole numbers does 1.338 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.338 in words?
1.338 in words is one point three three eight.
Why is 1.338 called one and three hundred thirty-eight thousandths?
Because the digit 3 is in the thousandths place. Therefore, 1.338 represents one and three hundred thirty-eight thousandths.
What fraction is 1.338?
1.338 is 1338/1000 exactly and 669/500 in lowest terms.
Can 1338/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 669/500.
What percentage is 1.338?
1.338 is equal to 133.8%.
Is 1.338 the same as 1.3380?
Yes. 1.338 and 1.3380 have the same numerical value. However, 1.338 is written to the thousandths place, while 1.3380 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.338 larger than 0.1338?
Yes. 1.338 is ten times as large as 0.1338.
What type of decimal is 1.338?
1.338 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and three hundred thirty-eight thousandths.