Decimal in the thousandths place
0.825 in Words
0.825 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.825 in words is zero point eight two five.
0.825 Place-Value Breakdown
The decimal digits place 8 in the tenth place, 2 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 8 | tenth | 8/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 0.825?
0.825 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.825
0.825 = 8/10 + 2/100 + 5/1000
0.825 = 0 + 825/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.825 Simplifies to 33/40
0.825 = 825/1000
The greatest common divisor of 825 and 1000 is 25.
825 ÷ 25 = 33
1000 ÷ 25 = 40
Therefore, 825/1000 = 33/40.
0.825 as a Percentage
To convert 0.825 to a percentage, multiply it by 100.
0.825 × 100 = 82.5
Therefore, 0.825 = 82.5%.
Decimals Equivalent to 0.825
0.825 = 0.8250 = 0.82500
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 |
|---|---|---|---|
| 0.825 | thousandths | 825/1000 | 33/40 |
| 0.8250 | ten-thousandths | 8250/10000 | 33/40 |
| 0.82500 | hundred-thousandths | 82500/100000 | 33/40 |
Visual Model of 0.825
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.825 on a Number Line
0.825 lies between 0.824 and 0.826. It is 0.175 below 1 and 0.825 above 0.
On a number line from 0 to 1, it appears 82.5% of the way from 0 to 1.
How Far Is 0.825 from 1?
1 − 0.825 = 0.175
1 − 33/40 = 7/40
0.825 is one hundred seventy-five thousandths below 1. The remaining part is 175/1000 = 7/40 = 17.5%.
0.825 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0825 | zero point zero eight two five | eight hundred twenty-five ten-thousandths | 33/400 | 8.25% | ten times smaller than 0.825 |
| 0.825 | zero point eight two five | eight hundred twenty-five thousandths | 33/40 | 82.5% | current value |
| 0.8250 | zero point eight two five zero | eight thousand two hundred fifty ten-thousandths | 33/40 | 82.5% | same numerical value, written to the ten-thousandths place |
| 8.25 | eight point two five | eight and twenty-five hundredths | 33/4 | 825% | ten times larger than 0.825 |
Quick Practice
How is 0.825 read digit by digit?
Zero point eight two five.
What is the place-value word form of 0.825?
Eight hundred twenty-five thousandths.
What fraction is 0.825 in lowest terms?
33/40.
What percentage is equal to 0.825?
82.5%.
Which is greater: 0.825 or 0.0825?
0.825 is ten times as large.
Is 0.825 equal to 0.8250?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.825 in words?
0.825 in words is zero point eight two five.
Why is 0.825 called eight hundred twenty-five thousandths?
Because the digit 8 is in the thousandths place. Therefore, 0.825 represents eight hundred twenty-five thousandths.
What fraction is 0.825?
0.825 is 825/1000 exactly and 33/40 in lowest terms.
Can 825/1000 be simplified?
Yes. Divide its numerator and denominator by 25 to get 33/40.
What percentage is 0.825?
0.825 is equal to 82.5%.
Is 0.825 the same as 0.8250?
Yes. 0.825 and 0.8250 have the same numerical value. However, 0.825 is written to the thousandths place, while 0.8250 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.825 larger than 0.0825?
Yes. 0.825 is ten times as large as 0.0825.
What type of decimal is 0.825?
0.825 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents eight hundred twenty-five thousandths.