Why the Zeros After the Point Matter
0.083 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
Decimal in the thousandths place
0.083 in Words
0.083 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.083 in words is zero point zero eight three.
0.083 Place-Value Breakdown
The first digit after the decimal point is 0, and the digit 8 is in the thousandths place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 3 | thousandth | 3/1000 |
What Kind of Decimal Is 0.083?
0.083 is a positive terminating decimal less than 1. It is written to the thousandths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of 0.083
0.083 = 8/100 + 3/1000
0.083 = 0 + 83/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 83/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 83/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.083 as a Percentage
To convert 0.083 to a percentage, multiply it by 100.
0.083 × 100 = 8.3
Therefore, 0.083 = 8.3%.
Decimals Equivalent to 0.083
0.083 = 0.0830 = 0.08300
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 |
|---|---|---|---|
| 0.083 | thousandths | 83/1000 | 83/1000 |
| 0.0830 | ten-thousandths | 830/10000 | 83/1000 |
| 0.08300 | hundred-thousandths | 8300/100000 | 83/1000 |
Visual Model of 0.083
83thousandths
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.083 on a Number Line
0.083 lies between 0.082 and 0.084. It is 0.917 below 1 and 0.083 above 0.
On a number line from 0 to 1, it appears 8.3% of the way from 0 to 1.
00.0831
How Far Is 0.083 from 1?
1 − 0.083 = 0.917
1 − 83/1000 = 917/1000
0.083 is nine hundred seventeen thousandths below 1. The remaining part is 917/1000 = 917/1000 = 91.7%.
0.083 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0083 | zero point zero zero eight three | eighty-three ten-thousandths | 83/10000 | 0.83% | ten times smaller than 0.083 |
| 0.083 | zero point zero eight three | eighty-three thousandths | 83/1000 | 8.3% | current value |
| 0.0830 | zero point zero eight three zero | eight hundred thirty ten-thousandths | 83/1000 | 8.3% | same numerical value, written to the ten-thousandths place |
| 0.83 | zero point eight three | eighty-three hundredths | 83/100 | 83% | ten times larger than 0.083 |
Quick Practice
How is 0.083 read digit by digit?
Zero point zero eight three.
What is the place-value word form of 0.083?
Eighty-three thousandths.
What fraction is 0.083 in lowest terms?
83/1000.
What percentage is equal to 0.083?
8.3%.
Why must the zero after the decimal point be read?
It holds an empty place before the first nonzero digit and fixes the value in the thousandths place.
Which is greater: 0.083 or 0.83?
0.83 is ten times as large.
Frequently Asked Questions
How do you write 0.083 in words?
0.083 in words is zero point zero eight three.
Why is 0.083 called eighty-three thousandths?
Because the digit 8 is in the thousandths place. Therefore, 0.083 represents eighty-three thousandths.
What fraction is 0.083?
0.083 is 83/1000 exactly and 83/1000 in lowest terms.
Is 83/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.083?
0.083 is equal to 8.3%.
Is 0.083 the same as 0.0830?
Yes. 0.083 and 0.0830 have the same numerical value. However, 0.083 is written to the thousandths place, while 0.0830 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.083 larger than 0.0083?
Yes. 0.083 is ten times as large as 0.0083.
What type of decimal is 0.083?
0.083 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents eighty-three thousandths.