Decimal in the thousandths place
0.338 in Words
0.338 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.338 in words is zero point three three eight.
0.338 Place-Value Breakdown
The decimal digits place 3 in the tenth place, 3 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 3 | hundredth | 3/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.338?
0.338 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.338
0.338 = 3/10 + 3/100 + 8/1000
0.338 = 0 + 338/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.338 Simplifies to 169/500
0.338 = 338/1000
The greatest common divisor of 338 and 1000 is 2.
338 ÷ 2 = 169
1000 ÷ 2 = 500
Therefore, 338/1000 = 169/500.
0.338 as a Percentage
To convert 0.338 to a percentage, multiply it by 100.
0.338 × 100 = 33.8
Therefore, 0.338 = 33.8%.
Decimals Equivalent to 0.338
0.338 = 0.3380 = 0.33800
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 |
|---|---|---|---|
| 0.338 | thousandths | 338/1000 | 169/500 |
| 0.3380 | ten-thousandths | 3380/10000 | 169/500 |
| 0.33800 | hundred-thousandths | 33800/100000 | 169/500 |
Visual Model of 0.338
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.338 on a Number Line
0.338 lies between 0.337 and 0.339. It is 0.662 below 1 and 0.338 above 0.
On a number line from 0 to 1, it appears 33.8% of the way from 0 to 1.
How Far Is 0.338 from 1?
1 − 0.338 = 0.662
1 − 169/500 = 331/500
0.338 is six hundred sixty-two thousandths below 1. The remaining part is 662/1000 = 331/500 = 66.2%.
0.338 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0338 | zero point zero three three eight | three hundred thirty-eight ten-thousandths | 169/5000 | 3.38% | ten times smaller than 0.338 |
| 0.338 | zero point three three eight | three hundred thirty-eight thousandths | 169/500 | 33.8% | current value |
| 0.3380 | zero point three three eight zero | three thousand three hundred eighty ten-thousandths | 169/500 | 33.8% | same numerical value, written to the ten-thousandths place |
| 3.38 | three point three eight | three and thirty-eight hundredths | 169/50 | 338% | ten times larger than 0.338 |
Quick Practice
How is 0.338 read digit by digit?
Zero point three three eight.
What is the place-value word form of 0.338?
Three hundred thirty-eight thousandths.
What fraction is 0.338 in lowest terms?
169/500.
What percentage is equal to 0.338?
33.8%.
Which is greater: 0.338 or 0.0338?
0.338 is ten times as large.
Is 0.338 equal to 0.3380?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.338 in words?
0.338 in words is zero point three three eight.
Why is 0.338 called three hundred thirty-eight thousandths?
Because the digit 3 is in the thousandths place. Therefore, 0.338 represents three hundred thirty-eight thousandths.
What fraction is 0.338?
0.338 is 338/1000 exactly and 169/500 in lowest terms.
Can 338/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 169/500.
What percentage is 0.338?
0.338 is equal to 33.8%.
Is 0.338 the same as 0.3380?
Yes. 0.338 and 0.3380 have the same numerical value. However, 0.338 is written to the thousandths place, while 0.3380 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.338 larger than 0.0338?
Yes. 0.338 is ten times as large as 0.0338.
What type of decimal is 0.338?
0.338 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents three hundred thirty-eight thousandths.