Decimal in the thousandths place
0.108 in Words
0.108 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.108 in words is zero point one zero eight.
0.108 Place-Value Breakdown
The decimal digits place 1 in the tenth place, 0 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 1 | tenth | 1/10 |
| Decimal part | 0 | hundredth | 0/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.108?
0.108 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.108
0.108 = 1/10 + 8/1000
0.108 = 0 + 108/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.108 Simplifies to 27/250
0.108 = 108/1000
The greatest common divisor of 108 and 1000 is 4.
108 ÷ 4 = 27
1000 ÷ 4 = 250
Therefore, 108/1000 = 27/250.
0.108 as a Percentage
To convert 0.108 to a percentage, multiply it by 100.
0.108 × 100 = 10.8
Therefore, 0.108 = 10.8%.
Decimals Equivalent to 0.108
0.108 = 0.1080 = 0.10800
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 |
|---|---|---|---|
| 0.108 | thousandths | 108/1000 | 27/250 |
| 0.1080 | ten-thousandths | 1080/10000 | 27/250 |
| 0.10800 | hundred-thousandths | 10800/100000 | 27/250 |
Visual Model of 0.108
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.108 on a Number Line
0.108 lies between 0.107 and 0.109. It is 0.892 below 1 and 0.108 above 0.
On a number line from 0 to 1, it appears 10.8% of the way from 0 to 1.
How Far Is 0.108 from 1?
1 − 0.108 = 0.892
1 − 27/250 = 223/250
0.108 is eight hundred ninety-two thousandths below 1. The remaining part is 892/1000 = 223/250 = 89.2%.
0.108 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0108 | zero point zero one zero eight | one hundred eight ten-thousandths | 27/2500 | 1.08% | ten times smaller than 0.108 |
| 0.108 | zero point one zero eight | one hundred eight thousandths | 27/250 | 10.8% | current value |
| 0.1080 | zero point one zero eight zero | one thousand eighty ten-thousandths | 27/250 | 10.8% | same numerical value, written to the ten-thousandths place |
| 1.08 | one point zero eight | one and eight hundredths | 27/25 | 108% | ten times larger than 0.108 |
Quick Practice
How is 0.108 read digit by digit?
Zero point one zero eight.
What is the place-value word form of 0.108?
One hundred eight thousandths.
What fraction is 0.108 in lowest terms?
27/250.
What percentage is equal to 0.108?
10.8%.
Which is greater: 0.108 or 0.0108?
0.108 is ten times as large.
Is 0.108 equal to 0.1080?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.108 in words?
0.108 in words is zero point one zero eight.
Why is 0.108 called one hundred eight thousandths?
Because the digit 1 is in the thousandths place. Therefore, 0.108 represents one hundred eight thousandths.
What fraction is 0.108?
0.108 is 108/1000 exactly and 27/250 in lowest terms.
Can 108/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 27/250.
What percentage is 0.108?
0.108 is equal to 10.8%.
Is 0.108 the same as 0.1080?
Yes. 0.108 and 0.1080 have the same numerical value. However, 0.108 is written to the thousandths place, while 0.1080 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.108 larger than 0.0108?
Yes. 0.108 is ten times as large as 0.0108.
What type of decimal is 0.108?
0.108 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents one hundred eight thousandths.