Decimal in the thousandths place
0.852 in Words
0.852 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.852 in words is zero point eight five two.
0.852 Place-Value Breakdown
The decimal digits place 8 in the tenth place, 5 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 | 5 | hundredth | 5/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 0.852?
0.852 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.852
0.852 = 8/10 + 5/100 + 2/1000
0.852 = 0 + 852/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.852 Simplifies to 213/250
0.852 = 852/1000
The greatest common divisor of 852 and 1000 is 4.
852 ÷ 4 = 213
1000 ÷ 4 = 250
Therefore, 852/1000 = 213/250.
0.852 as a Percentage
To convert 0.852 to a percentage, multiply it by 100.
0.852 × 100 = 85.2
Therefore, 0.852 = 85.2%.
Decimals Equivalent to 0.852
0.852 = 0.8520 = 0.85200
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 |
|---|---|---|---|
| 0.852 | thousandths | 852/1000 | 213/250 |
| 0.8520 | ten-thousandths | 8520/10000 | 213/250 |
| 0.85200 | hundred-thousandths | 85200/100000 | 213/250 |
Visual Model of 0.852
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.852 on a Number Line
0.852 lies between 0.851 and 0.853. It is 0.148 below 1 and 0.852 above 0.
On a number line from 0 to 1, it appears 85.2% of the way from 0 to 1.
How Far Is 0.852 from 1?
1 − 0.852 = 0.148
1 − 213/250 = 37/250
0.852 is one hundred forty-eight thousandths below 1. The remaining part is 148/1000 = 37/250 = 14.8%.
0.852 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0852 | zero point zero eight five two | eight hundred fifty-two ten-thousandths | 213/2500 | 8.52% | ten times smaller than 0.852 |
| 0.852 | zero point eight five two | eight hundred fifty-two thousandths | 213/250 | 85.2% | current value |
| 0.8520 | zero point eight five two zero | eight thousand five hundred twenty ten-thousandths | 213/250 | 85.2% | same numerical value, written to the ten-thousandths place |
| 8.52 | eight point five two | eight and fifty-two hundredths | 213/25 | 852% | ten times larger than 0.852 |
Quick Practice
How is 0.852 read digit by digit?
Zero point eight five two.
What is the place-value word form of 0.852?
Eight hundred fifty-two thousandths.
What fraction is 0.852 in lowest terms?
213/250.
What percentage is equal to 0.852?
85.2%.
Which is greater: 0.852 or 0.0852?
0.852 is ten times as large.
Is 0.852 equal to 0.8520?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.852 in words?
0.852 in words is zero point eight five two.
Why is 0.852 called eight hundred fifty-two thousandths?
Because the digit 8 is in the thousandths place. Therefore, 0.852 represents eight hundred fifty-two thousandths.
What fraction is 0.852?
0.852 is 852/1000 exactly and 213/250 in lowest terms.
Can 852/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 213/250.
What percentage is 0.852?
0.852 is equal to 85.2%.
Is 0.852 the same as 0.8520?
Yes. 0.852 and 0.8520 have the same numerical value. However, 0.852 is written to the thousandths place, while 0.8520 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.852 larger than 0.0852?
Yes. 0.852 is ten times as large as 0.0852.
What type of decimal is 0.852?
0.852 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents eight hundred fifty-two thousandths.