Decimal in the thousandths place
0.335 in Words
0.335 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.335 in words is zero point three three five.
0.335 Place-Value Breakdown
The decimal digits place 3 in the tenth place, 3 in the hundredth place, and 5 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 | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 0.335?
0.335 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.335
0.335 = 3/10 + 3/100 + 5/1000
0.335 = 0 + 335/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.335 Simplifies to 67/200
0.335 = 335/1000
The greatest common divisor of 335 and 1000 is 5.
335 ÷ 5 = 67
1000 ÷ 5 = 200
Therefore, 335/1000 = 67/200.
0.335 as a Percentage
To convert 0.335 to a percentage, multiply it by 100.
0.335 × 100 = 33.5
Therefore, 0.335 = 33.5%.
Decimals Equivalent to 0.335
0.335 = 0.3350 = 0.33500
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 |
|---|---|---|---|
| 0.335 | thousandths | 335/1000 | 67/200 |
| 0.3350 | ten-thousandths | 3350/10000 | 67/200 |
| 0.33500 | hundred-thousandths | 33500/100000 | 67/200 |
Visual Model of 0.335
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.335 on a Number Line
0.335 lies between 0.334 and 0.336. It is 0.665 below 1 and 0.335 above 0.
On a number line from 0 to 1, it appears 33.5% of the way from 0 to 1.
How Far Is 0.335 from 1?
1 − 0.335 = 0.665
1 − 67/200 = 133/200
0.335 is six hundred sixty-five thousandths below 1. The remaining part is 665/1000 = 133/200 = 66.5%.
0.335 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0335 | zero point zero three three five | three hundred thirty-five ten-thousandths | 67/2000 | 3.35% | ten times smaller than 0.335 |
| 0.335 | zero point three three five | three hundred thirty-five thousandths | 67/200 | 33.5% | current value |
| 0.3350 | zero point three three five zero | three thousand three hundred fifty ten-thousandths | 67/200 | 33.5% | same numerical value, written to the ten-thousandths place |
| 3.35 | three point three five | three and thirty-five hundredths | 67/20 | 335% | ten times larger than 0.335 |
Quick Practice
How is 0.335 read digit by digit?
Zero point three three five.
What is the place-value word form of 0.335?
Three hundred thirty-five thousandths.
What fraction is 0.335 in lowest terms?
67/200.
What percentage is equal to 0.335?
33.5%.
Which is greater: 0.335 or 0.0335?
0.335 is ten times as large.
Is 0.335 equal to 0.3350?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.335 in words?
0.335 in words is zero point three three five.
Why is 0.335 called three hundred thirty-five thousandths?
Because the digit 3 is in the thousandths place. Therefore, 0.335 represents three hundred thirty-five thousandths.
What fraction is 0.335?
0.335 is 335/1000 exactly and 67/200 in lowest terms.
Can 335/1000 be simplified?
Yes. Divide its numerator and denominator by 5 to get 67/200.
What percentage is 0.335?
0.335 is equal to 33.5%.
Is 0.335 the same as 0.3350?
Yes. 0.335 and 0.3350 have the same numerical value. However, 0.335 is written to the thousandths place, while 0.3350 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.335 larger than 0.0335?
Yes. 0.335 is ten times as large as 0.0335.
What type of decimal is 0.335?
0.335 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents three hundred thirty-five thousandths.