A Familiar Fraction Equivalent
The reduced form 3/8 is a commonly used fraction. The decimal form is convenient for calculation, while the fraction shows the exact part-to-whole relationship.
Decimal in the thousandths place
0.375 in Words
0.375 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.375 in words is zero point three seven five.
0.375 Place-Value Breakdown
The decimal digits place 3 in the tenth place, 7 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 7 | hundredth | 7/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 0.375?
0.375 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.375
0.375 = 3/10 + 7/100 + 5/1000
0.375 = 0 + 375/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.375 Simplifies to 3/8
0.375 = 375/1000
The greatest common divisor of 375 and 1000 is 125.
375 ÷ 125 = 3
1000 ÷ 125 = 8
Therefore, 375/1000 = 3/8.
0.375 as a Percentage
To convert 0.375 to a percentage, multiply it by 100.
0.375 × 100 = 37.5
Therefore, 0.375 = 37.5%.
Decimals Equivalent to 0.375
0.375 = 0.3750 = 0.37500
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 |
|---|---|---|---|
| 0.375 | thousandths | 375/1000 | 3/8 |
| 0.3750 | ten-thousandths | 3750/10000 | 3/8 |
| 0.37500 | hundred-thousandths | 37500/100000 | 3/8 |
Visual Model of 0.375
Three of eight equal parts are filled, leaving five unfilled.
The unfilled part is 5/8 = 5/8 = 62.5%.
The filled part is 375/1000 = 3/8 = 37.5%.
0.375 on a Number Line
0.375 lies between 0.374 and 0.376. It is 0.625 below 1 and 0.375 above 0.
On a number line from 0 to 1, it appears 37.5% of the way from 0 to 1.
00.3751
How Far Is 0.375 from 1?
1 − 0.375 = 0.625
1 − 3/8 = 5/8
0.375 is six hundred twenty-five thousandths below 1. The remaining part is 625/1000 = 5/8 = 62.5%.
0.375 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0375 | zero point zero three seven five | three hundred seventy-five ten-thousandths | 3/80 | 3.75% | ten times smaller than 0.375 |
| 0.375 | zero point three seven five | three hundred seventy-five thousandths | 3/8 | 37.5% | current value |
| 0.3750 | zero point three seven five zero | three thousand seven hundred fifty ten-thousandths | 3/8 | 37.5% | same numerical value, written to the ten-thousandths place |
| 3.75 | three point seven five | three and seventy-five hundredths | 15/4 | 375% | ten times larger than 0.375 |
Quick Practice
How is 0.375 read digit by digit?
Zero point three seven five.
What is the place-value word form of 0.375?
Three hundred seventy-five thousandths.
What fraction is 0.375 in lowest terms?
3/8.
What percentage is equal to 0.375?
37.5%.
Which is greater: 0.375 or 0.0375?
0.375 is ten times as large.
Is 0.375 equal to 0.3750?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.375 in words?
0.375 in words is zero point three seven five.
Why is 0.375 called three hundred seventy-five thousandths?
Because the digit 3 is in the thousandths place. Therefore, 0.375 represents three hundred seventy-five thousandths.
What fraction is 0.375?
0.375 is 375/1000 exactly and 3/8 in lowest terms.
Can 375/1000 be simplified?
Yes. Divide its numerator and denominator by 125 to get 3/8.
What percentage is 0.375?
0.375 is equal to 37.5%.
Is 0.375 the same as 0.3750?
Yes. 0.375 and 0.3750 have the same numerical value. However, 0.375 is written to the thousandths place, while 0.3750 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.375 larger than 0.0375?
Yes. 0.375 is ten times as large as 0.0375.
What type of decimal is 0.375?
0.375 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents three hundred seventy-five thousandths.