Number DigitDecimal in the thousandths place
13.375 in Words
13.375 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
13.375 in words is thirteen point three seven five.
13.375 Place-Value Breakdown
The digits 1 and 3 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 | 1 | tens | 10 |
| Whole part | 3 | ones | 3 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 7 | hundredth | 7/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 13.375?
13.375 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 13.375
13.375 = 10 + 3 + 3/10 + 7/100 + 5/1000
13.375 = 13 + 375/1000
13.375 = 13 3/8
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 13.375 Simplifies to 107/8
13.375 = 13375/1000
The greatest common divisor of 13375 and 1000 is 125.
13375 ÷ 125 = 107
1000 ÷ 125 = 8
Therefore, 13375/1000 = 107/8.
As a mixed fraction, the value is 13 3/8.
13.375 as a Percentage
To convert 13.375 to a percentage, multiply it by 100.
13.375 × 100 = 1337.5
Therefore, 13.375 = 1337.5%.
Decimals Equivalent to 13.375
13.375 = 13.3750 = 13.37500
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 |
|---|---|---|---|
| 13.375 | thousandths | 13375/1000 | 107/8 |
| 13.3750 | ten-thousandths | 133750/10000 | 107/8 |
| 13.37500 | hundred-thousandths | 1337500/100000 | 107/8 |
A Familiar Fraction Equivalent
The reduced form 107/8 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 13 with the fractional part 375/1000. In place-value words, "and" marks that boundary.
13.375 on a Number Line
13.375 lies between 13 and 14. It is 0.625 below 14 and 0.375 above 13.
13.375 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 1.3375 | one point three three seven five | one and three thousand three hundred seventy-five ten-thousandths | 107/80 | 133.75% | ten times smaller than 13.375 |
| 13.375 | thirteen point three seven five | thirteen and three hundred seventy-five thousandths | 107/8 | 1337.5% | current value |
| 13.3750 | thirteen point three seven five zero | thirteen and three thousand seven hundred fifty ten-thousandths | 107/8 | 1337.5% | same numerical value, written to the ten-thousandths place |
| 133.75 | one hundred thirty-three point seven five | one hundred thirty-three and seventy-five hundredths | 535/4 | 13375% | ten times larger than 13.375 |
Quick Practice
How is 13.375 read digit by digit?
Thirteen point three seven five.
What is the place-value word form of 13.375?
Thirteen and three hundred seventy-five thousandths.
What fraction is 13.375 in lowest terms?
107/8.
What percentage is equal to 13.375?
1337.5%.
What is 13.375 as a mixed fraction?
13 3/8.
Between which whole numbers does 13.375 lie?
Between 13 and 14.
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Frequently Asked Questions
How do you write 13.375 in words?
13.375 in words is thirteen point three seven five.
Why is 13.375 called thirteen 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 thirteen and three hundred seventy-five thousandths.
What fraction is 13.375?
13.375 is 13375/1000 exactly and 107/8 in lowest terms.
Can 13375/1000 be simplified?
Yes. Divide its numerator and denominator by 125 to get 107/8.
What percentage is 13.375?
13.375 is equal to 1337.5%.
Is 13.375 the same as 13.3750?
Yes. 13.375 and 13.3750 have the same numerical value. However, 13.375 is written to the thousandths place, while 13.3750 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 13.375 larger than 1.3375?
Yes. 13.375 is ten times as large as 1.3375.
What type of decimal is 13.375?
13.375 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents thirteen and three hundred seventy-five thousandths.