Number DigitDecimal in the thousandths place
38.013 in Words
38.013 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
38.013 in words is thirty-eight point zero one three.
38.013 Place-Value Breakdown
The digits 3 and 8 form the whole-number part, while 0 in the tenth place, 1 in the hundredth place, and 3 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 3 | tens | 30 |
| Whole part | 8 | ones | 8 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 1 | hundredth | 1/100 |
| Decimal part | 3 | thousandth | 3/1000 |
What Kind of Decimal Is 38.013?
38.013 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of 38.013
38.013 = 30 + 8 + 1/100 + 3/1000
38.013 = 38 + 13/1000
38.013 = 38 13/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 38013/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 38013/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
As a mixed fraction, the value is 38 13/1000.
38.013 as a Percentage
To convert 38.013 to a percentage, multiply it by 100.
38.013 × 100 = 3801.3
Therefore, 38.013 = 3801.3%.
Decimals Equivalent to 38.013
38.013 = 38.0130 = 38.01300
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 |
|---|---|---|---|
| 38.013 | thousandths | 38013/1000 | 38013/1000 |
| 38.0130 | ten-thousandths | 380130/10000 | 38013/1000 |
| 38.01300 | hundred-thousandths | 3801300/100000 | 38013/1000 |
Why the Zeros After the Point Matter
38.013 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
Whole Part and Fractional Part
This mixed decimal combines the whole part 38 with the fractional part 13/1000. In place-value words, "and" marks that boundary.
38.013 on a Number Line
38.013 lies between 38 and 39. It is 0.987 below 39 and 0.013 above 38.
38.013 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 3.8013 | three point eight zero one three | three and eight thousand thirteen ten-thousandths | 38013/10000 | 380.13% | ten times smaller than 38.013 |
| 38.013 | thirty-eight point zero one three | thirty-eight and thirteen thousandths | 38013/1000 | 3801.3% | current value |
| 38.0130 | thirty-eight point zero one three zero | thirty-eight and one hundred thirty ten-thousandths | 38013/1000 | 3801.3% | same numerical value, written to the ten-thousandths place |
| 380.13 | three hundred eighty point one three | three hundred eighty and thirteen hundredths | 38013/100 | 38013% | ten times larger than 38.013 |
Quick Practice
How is 38.013 read digit by digit?
Thirty-eight point zero one three.
What is the place-value word form of 38.013?
Thirty-eight and thirteen thousandths.
What fraction is 38.013 in lowest terms?
38013/1000.
What percentage is equal to 38.013?
3801.3%.
What is 38.013 as a mixed fraction?
38 13/1000.
Between which whole numbers does 38.013 lie?
Between 38 and 39.
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Frequently Asked Questions
How do you write 38.013 in words?
38.013 in words is thirty-eight point zero one three.
Why is 38.013 called thirty-eight and thirteen thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as thirty-eight and thirteen thousandths.
What fraction is 38.013?
38.013 is 38013/1000 exactly and 38013/1000 in lowest terms.
Is 38013/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 38.013?
38.013 is equal to 3801.3%.
Is 38.013 the same as 38.0130?
Yes. 38.013 and 38.0130 have the same numerical value. However, 38.013 is written to the thousandths place, while 38.0130 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 38.013 larger than 3.8013?
Yes. 38.013 is ten times as large as 3.8013.
What type of decimal is 38.013?
38.013 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents thirty-eight and thirteen thousandths.