Decimal in the thousandths place
0.585 in Words
0.585 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.585 in words is zero point five eight five.
0.585 Place-Value Breakdown
The decimal digits place 5 in the tenth place, 8 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 5 | tenth | 5/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 0.585?
0.585 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.585
0.585 = 5/10 + 8/100 + 5/1000
0.585 = 0 + 585/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.585 Simplifies to 117/200
0.585 = 585/1000
The greatest common divisor of 585 and 1000 is 5.
585 ÷ 5 = 117
1000 ÷ 5 = 200
Therefore, 585/1000 = 117/200.
0.585 as a Percentage
To convert 0.585 to a percentage, multiply it by 100.
0.585 × 100 = 58.5
Therefore, 0.585 = 58.5%.
Decimals Equivalent to 0.585
0.585 = 0.5850 = 0.58500
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 |
|---|---|---|---|
| 0.585 | thousandths | 585/1000 | 117/200 |
| 0.5850 | ten-thousandths | 5850/10000 | 117/200 |
| 0.58500 | hundred-thousandths | 58500/100000 | 117/200 |
Visual Model of 0.585
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.585 on a Number Line
0.585 lies between 0.584 and 0.586. It is 0.415 below 1 and 0.585 above 0.
On a number line from 0 to 1, it appears 58.5% of the way from 0 to 1.
How Far Is 0.585 from 1?
1 − 0.585 = 0.415
1 − 117/200 = 83/200
0.585 is four hundred fifteen thousandths below 1. The remaining part is 415/1000 = 83/200 = 41.5%.
0.585 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0585 | zero point zero five eight five | five hundred eighty-five ten-thousandths | 117/2000 | 5.85% | ten times smaller than 0.585 |
| 0.585 | zero point five eight five | five hundred eighty-five thousandths | 117/200 | 58.5% | current value |
| 0.5850 | zero point five eight five zero | five thousand eight hundred fifty ten-thousandths | 117/200 | 58.5% | same numerical value, written to the ten-thousandths place |
| 5.85 | five point eight five | five and eighty-five hundredths | 117/20 | 585% | ten times larger than 0.585 |
Quick Practice
How is 0.585 read digit by digit?
Zero point five eight five.
What is the place-value word form of 0.585?
Five hundred eighty-five thousandths.
What fraction is 0.585 in lowest terms?
117/200.
What percentage is equal to 0.585?
58.5%.
Which is greater: 0.585 or 0.0585?
0.585 is ten times as large.
Is 0.585 equal to 0.5850?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.585 in words?
0.585 in words is zero point five eight five.
Why is 0.585 called five hundred eighty-five thousandths?
Because the digit 5 is in the thousandths place. Therefore, 0.585 represents five hundred eighty-five thousandths.
What fraction is 0.585?
0.585 is 585/1000 exactly and 117/200 in lowest terms.
Can 585/1000 be simplified?
Yes. Divide its numerator and denominator by 5 to get 117/200.
What percentage is 0.585?
0.585 is equal to 58.5%.
Is 0.585 the same as 0.5850?
Yes. 0.585 and 0.5850 have the same numerical value. However, 0.585 is written to the thousandths place, while 0.5850 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.585 larger than 0.0585?
Yes. 0.585 is ten times as large as 0.0585.
What type of decimal is 0.585?
0.585 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents five hundred eighty-five thousandths.