Decimal in the thousandths place
0.387 in Words
0.387 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.387 in words is zero point three eight seven.
0.387 Place-Value Breakdown
The decimal digits place 3 in the tenth place, 8 in the hundredth place, and 7 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 7 | thousandth | 7/1000 |
What Kind of Decimal Is 0.387?
0.387 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.387
0.387 = 3/10 + 8/100 + 7/1000
0.387 = 0 + 387/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 387/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 387/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.387 as a Percentage
To convert 0.387 to a percentage, multiply it by 100.
0.387 × 100 = 38.7
Therefore, 0.387 = 38.7%.
Decimals Equivalent to 0.387
0.387 = 0.3870 = 0.38700
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 |
|---|---|---|---|
| 0.387 | thousandths | 387/1000 | 387/1000 |
| 0.3870 | ten-thousandths | 3870/10000 | 387/1000 |
| 0.38700 | hundred-thousandths | 38700/100000 | 387/1000 |
Visual Model of 0.387
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.387 on a Number Line
0.387 lies between 0.386 and 0.388. It is 0.613 below 1 and 0.387 above 0.
On a number line from 0 to 1, it appears 38.7% of the way from 0 to 1.
How Far Is 0.387 from 1?
1 − 0.387 = 0.613
1 − 387/1000 = 613/1000
0.387 is six hundred thirteen thousandths below 1. The remaining part is 613/1000 = 613/1000 = 61.3%.
0.387 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0387 | zero point zero three eight seven | three hundred eighty-seven ten-thousandths | 387/10000 | 3.87% | ten times smaller than 0.387 |
| 0.387 | zero point three eight seven | three hundred eighty-seven thousandths | 387/1000 | 38.7% | current value |
| 0.3870 | zero point three eight seven zero | three thousand eight hundred seventy ten-thousandths | 387/1000 | 38.7% | same numerical value, written to the ten-thousandths place |
| 3.87 | three point eight seven | three and eighty-seven hundredths | 387/100 | 387% | ten times larger than 0.387 |
Quick Practice
How is 0.387 read digit by digit?
Zero point three eight seven.
What is the place-value word form of 0.387?
Three hundred eighty-seven thousandths.
What fraction is 0.387 in lowest terms?
387/1000.
What percentage is equal to 0.387?
38.7%.
Which is greater: 0.387 or 0.0387?
0.387 is ten times as large.
Is 0.387 equal to 0.3870?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.387 in words?
0.387 in words is zero point three eight seven.
Why is 0.387 called three hundred eighty-seven thousandths?
Because the digit 3 is in the thousandths place. Therefore, 0.387 represents three hundred eighty-seven thousandths.
What fraction is 0.387?
0.387 is 387/1000 exactly and 387/1000 in lowest terms.
Is 387/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.387?
0.387 is equal to 38.7%.
Is 0.387 the same as 0.3870?
Yes. 0.387 and 0.3870 have the same numerical value. However, 0.387 is written to the thousandths place, while 0.3870 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.387 larger than 0.0387?
Yes. 0.387 is ten times as large as 0.0387.
What type of decimal is 0.387?
0.387 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents three hundred eighty-seven thousandths.