Number DigitDecimal in the thousandths place
38.375 in Words
38.375 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
38.375 in words is thirty-eight point three seven five.
38.375 Place-Value Breakdown
The digits 3 and 8 form the whole-number part, while 3 in the tenth place, 7 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 3 | tens | 30 |
| Whole part | 8 | ones | 8 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 7 | hundredth | 7/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 38.375?
38.375 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 38.375
38.375 = 30 + 8 + 3/10 + 7/100 + 5/1000
38.375 = 38 + 375/1000
38.375 = 38 3/8
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 38.375 Simplifies to 307/8
38.375 = 38375/1000
The greatest common divisor of 38375 and 1000 is 125.
38375 ÷ 125 = 307
1000 ÷ 125 = 8
Therefore, 38375/1000 = 307/8.
As a mixed fraction, the value is 38 3/8.
38.375 as a Percentage
To convert 38.375 to a percentage, multiply it by 100.
38.375 × 100 = 3837.5
Therefore, 38.375 = 3837.5%.
Decimals Equivalent to 38.375
38.375 = 38.3750 = 38.37500
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 |
|---|---|---|---|
| 38.375 | thousandths | 38375/1000 | 307/8 |
| 38.3750 | ten-thousandths | 383750/10000 | 307/8 |
| 38.37500 | hundred-thousandths | 3837500/100000 | 307/8 |
A Familiar Fraction Equivalent
The reduced form 307/8 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Whole Part and Fractional Part
This mixed decimal combines the whole part 38 with the fractional part 375/1000. In place-value words, "and" marks that boundary.
38.375 on a Number Line
38.375 lies between 38 and 39. It is 0.625 below 39 and 0.375 above 38.
38.375 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 3.8375 | three point eight three seven five | three and eight thousand three hundred seventy-five ten-thousandths | 307/80 | 383.75% | ten times smaller than 38.375 |
| 38.375 | thirty-eight point three seven five | thirty-eight and three hundred seventy-five thousandths | 307/8 | 3837.5% | current value |
| 38.3750 | thirty-eight point three seven five zero | thirty-eight and three thousand seven hundred fifty ten-thousandths | 307/8 | 3837.5% | same numerical value, written to the ten-thousandths place |
| 383.75 | three hundred eighty-three point seven five | three hundred eighty-three and seventy-five hundredths | 1535/4 | 38375% | ten times larger than 38.375 |
Quick Practice
How is 38.375 read digit by digit?
Thirty-eight point three seven five.
What is the place-value word form of 38.375?
Thirty-eight and three hundred seventy-five thousandths.
What fraction is 38.375 in lowest terms?
307/8.
What percentage is equal to 38.375?
3837.5%.
What is 38.375 as a mixed fraction?
38 3/8.
Between which whole numbers does 38.375 lie?
Between 38 and 39.
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Frequently Asked Questions
How do you write 38.375 in words?
38.375 in words is thirty-eight point three seven five.
Why is 38.375 called thirty-eight and three hundred seventy-five thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as thirty-eight and three hundred seventy-five thousandths.
What fraction is 38.375?
38.375 is 38375/1000 exactly and 307/8 in lowest terms.
Can 38375/1000 be simplified?
Yes. Divide its numerator and denominator by 125 to get 307/8.
What percentage is 38.375?
38.375 is equal to 3837.5%.
Is 38.375 the same as 38.3750?
Yes. 38.375 and 38.3750 have the same numerical value. However, 38.375 is written to the thousandths place, while 38.3750 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 38.375 larger than 3.8375?
Yes. 38.375 is ten times as large as 3.8375.
What type of decimal is 38.375?
38.375 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents thirty-eight and three hundred seventy-five thousandths.