Number DigitDecimal in the thousandths place
3.350 in Words
3.350 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
3.350 in words is three point three five zero.
3.350 has the same numerical value as 3.35, but it is written to the thousandths place.
3.350 Place-Value Breakdown
The digits 3 form the whole-number part, while 3 in the tenth place, 5 in the hundredth place, and 0 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 | 0 | thousandth | 0/1000 |
What Kind of Decimal Is 3.350?
3.350 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of 3.350
3.350 = 3 + 3/10 + 5/100
3.350 = 3 + 350/1000
3.350 = 3 7/20
3.350 = 3350/1000
The nonzero terms determine the numerical value, while the trailing zero preserves the written thousandths precision.
How 3.350 Simplifies to 67/20
3.350 = 3350/1000
The greatest common divisor of 3350 and 1000 is 50.
3350 ÷ 50 = 67
1000 ÷ 50 = 20
Therefore, 3350/1000 = 67/20.
As a mixed fraction, the value is 3 7/20.
3.350 as a Percentage
To convert 3.350 to a percentage, multiply it by 100.
3.350 × 100 = 335
Therefore, 3.350 = 335%.
Decimals Equivalent to 3.350
3.35 = 3.350 = 3.3500
3.350 and 3.35 have the same numerical value. Their final written places differ, so they may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 3.35 | hundredths | 335/100 | 67/20 |
| 3.350 | thousandths | 3350/1000 | 67/20 |
| 3.3500 | ten-thousandths | 33500/10000 | 67/20 |
A Familiar Fraction Equivalent
The reduced form 67/20 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that 3.350 was written to the thousandths place.
Whole Part and Fractional Part
This mixed decimal combines the whole part 3 with the fractional part 350/1000. In place-value words, "and" marks that boundary.
3.350 on a Number Line
3.350 lies between 3 and 4. It is 0.65 below 4 and 0.35 above 3.
3.350 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.335 | zero point three three five | three hundred thirty-five thousandths | 67/200 | 33.5% | ten times smaller than 3.350 |
| 3.35 | three point three five | three and thirty-five hundredths | 67/20 | 335% | same numerical value, fewer written decimal places |
| 3.350 | three point three five zero | three and three hundred fifty thousandths | 67/20 | 335% | current value |
| 3.3500 | three point three five zero zero | three and three thousand five hundred ten-thousandths | 67/20 | 335% | same numerical value, written to the ten-thousandths place |
| 33.5 | thirty-three point five | thirty-three and five tenths | 67/2 | 3350% | ten times larger than 3.350 |
Quick Practice
How is 3.350 read digit by digit?
Three point three five zero.
What is the place-value word form of 3.350?
Three and three hundred fifty thousandths.
What fraction is 3.350 in lowest terms?
67/20.
What percentage is equal to 3.350?
335%.
What is 3.350 as a mixed fraction?
3 7/20.
Between which whole numbers does 3.350 lie?
Between 3 and 4.
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Frequently Asked Questions
How do you write 3.350 in words?
3.350 in words is three point three five zero.
Why is 3.350 called three and three hundred fifty 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 thousandths.
What fraction is 3.350?
3.350 is 3350/1000 exactly and 67/20 in lowest terms.
Can 3350/1000 be simplified?
Yes. Divide its numerator and denominator by 50 to get 67/20.
What percentage is 3.350?
3.350 is equal to 335%.
Is 3.350 the same as 3.3500?
Yes. 3.350 and 3.3500 have the same numerical value. However, 3.350 is written to the thousandths place, while 3.3500 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 3.350 larger than 0.335?
Yes. 3.350 is ten times as large as 0.335.
What type of decimal is 3.350?
3.350 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents three and three hundred fifty thousandths.