Decimal in the thousandths place
0.882 in Words
0.882 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.882 in words is zero point eight eight two.
0.882 Place-Value Breakdown
The decimal digits place 8 in the tenth place, 8 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 8 | tenth | 8/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 0.882?
0.882 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.882
0.882 = 8/10 + 8/100 + 2/1000
0.882 = 0 + 882/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.882 Simplifies to 441/500
0.882 = 882/1000
The greatest common divisor of 882 and 1000 is 2.
882 ÷ 2 = 441
1000 ÷ 2 = 500
Therefore, 882/1000 = 441/500.
0.882 as a Percentage
To convert 0.882 to a percentage, multiply it by 100.
0.882 × 100 = 88.2
Therefore, 0.882 = 88.2%.
Decimals Equivalent to 0.882
0.882 = 0.8820 = 0.88200
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 |
|---|---|---|---|
| 0.882 | thousandths | 882/1000 | 441/500 |
| 0.8820 | ten-thousandths | 8820/10000 | 441/500 |
| 0.88200 | hundred-thousandths | 88200/100000 | 441/500 |
Visual Model of 0.882
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.882 on a Number Line
0.882 lies between 0.881 and 0.883. It is 0.118 below 1 and 0.882 above 0.
On a number line from 0 to 1, it appears 88.2% of the way from 0 to 1.
How Far Is 0.882 from 1?
1 − 0.882 = 0.118
1 − 441/500 = 59/500
0.882 is one hundred eighteen thousandths below 1. The remaining part is 118/1000 = 59/500 = 11.8%.
0.882 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0882 | zero point zero eight eight two | eight hundred eighty-two ten-thousandths | 441/5000 | 8.82% | ten times smaller than 0.882 |
| 0.882 | zero point eight eight two | eight hundred eighty-two thousandths | 441/500 | 88.2% | current value |
| 0.8820 | zero point eight eight two zero | eight thousand eight hundred twenty ten-thousandths | 441/500 | 88.2% | same numerical value, written to the ten-thousandths place |
| 8.82 | eight point eight two | eight and eighty-two hundredths | 441/50 | 882% | ten times larger than 0.882 |
Quick Practice
How is 0.882 read digit by digit?
Zero point eight eight two.
What is the place-value word form of 0.882?
Eight hundred eighty-two thousandths.
What fraction is 0.882 in lowest terms?
441/500.
What percentage is equal to 0.882?
88.2%.
Which is greater: 0.882 or 0.0882?
0.882 is ten times as large.
Is 0.882 equal to 0.8820?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.882 in words?
0.882 in words is zero point eight eight two.
Why is 0.882 called eight hundred eighty-two thousandths?
Because the digit 8 is in the thousandths place. Therefore, 0.882 represents eight hundred eighty-two thousandths.
What fraction is 0.882?
0.882 is 882/1000 exactly and 441/500 in lowest terms.
Can 882/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 441/500.
What percentage is 0.882?
0.882 is equal to 88.2%.
Is 0.882 the same as 0.8820?
Yes. 0.882 and 0.8820 have the same numerical value. However, 0.882 is written to the thousandths place, while 0.8820 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.882 larger than 0.0882?
Yes. 0.882 is ten times as large as 0.0882.
What type of decimal is 0.882?
0.882 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents eight hundred eighty-two thousandths.