Number DigitDecimal in the thousandths place
3.355 in Words
3.355 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
3.355 in words is three point three five five.
3.355 Place-Value Breakdown
The digits 3 form the whole-number part, while 3 in the tenth place, 5 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 3 | ones | 3 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 5 | hundredth | 5/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 3.355?
3.355 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 3.355
3.355 = 3 + 3/10 + 5/100 + 5/1000
3.355 = 3 + 355/1000
3.355 = 3 71/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 3.355 Simplifies to 671/200
3.355 = 3355/1000
The greatest common divisor of 3355 and 1000 is 5.
3355 ÷ 5 = 671
1000 ÷ 5 = 200
Therefore, 3355/1000 = 671/200.
As a mixed fraction, the value is 3 71/200.
3.355 as a Percentage
To convert 3.355 to a percentage, multiply it by 100.
3.355 × 100 = 335.5
Therefore, 3.355 = 335.5%.
Decimals Equivalent to 3.355
3.355 = 3.3550 = 3.35500
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 |
|---|---|---|---|
| 3.355 | thousandths | 3355/1000 | 671/200 |
| 3.3550 | ten-thousandths | 33550/10000 | 671/200 |
| 3.35500 | hundred-thousandths | 335500/100000 | 671/200 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 3 with the fractional part 355/1000. In place-value words, "and" marks that boundary.
3.355 on a Number Line
3.355 lies between 3 and 4. It is 0.645 below 4 and 0.355 above 3.
3.355 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.3355 | zero point three three five five | three thousand three hundred fifty-five ten-thousandths | 671/2000 | 33.55% | ten times smaller than 3.355 |
| 3.355 | three point three five five | three and three hundred fifty-five thousandths | 671/200 | 335.5% | current value |
| 3.3550 | three point three five five zero | three and three thousand five hundred fifty ten-thousandths | 671/200 | 335.5% | same numerical value, written to the ten-thousandths place |
| 33.55 | thirty-three point five five | thirty-three and fifty-five hundredths | 671/20 | 3355% | ten times larger than 3.355 |
Quick Practice
How is 3.355 read digit by digit?
Three point three five five.
What is the place-value word form of 3.355?
Three and three hundred fifty-five thousandths.
What fraction is 3.355 in lowest terms?
671/200.
What percentage is equal to 3.355?
335.5%.
What is 3.355 as a mixed fraction?
3 71/200.
Between which whole numbers does 3.355 lie?
Between 3 and 4.
Convert Another Decimal
Use the full converter for custom input, examples, and the complete place-name chart.
Ready for a lesson or a little practice
Printable decimal worksheets
Each free PDF contains eight questions. Download a separate answer key with explanations. No account is required.
Frequently Asked Questions
How do you write 3.355 in words?
3.355 in words is three point three five five.
Why is 3.355 called three and three hundred fifty-five thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as three and three hundred fifty-five thousandths.
What fraction is 3.355?
3.355 is 3355/1000 exactly and 671/200 in lowest terms.
Can 3355/1000 be simplified?
Yes. Divide its numerator and denominator by 5 to get 671/200.
What percentage is 3.355?
3.355 is equal to 335.5%.
Is 3.355 the same as 3.3550?
Yes. 3.355 and 3.3550 have the same numerical value. However, 3.355 is written to the thousandths place, while 3.3550 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 3.355 larger than 0.3355?
Yes. 3.355 is ten times as large as 0.3355.
What type of decimal is 3.355?
3.355 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents three and three hundred fifty-five thousandths.