Decimal in the thousandths place
0.118 in Words
0.118 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.118 in words is zero point one one eight.
0.118 Place-Value Breakdown
The decimal digits place 1 in the tenth place, 1 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 | 1 | hundredth | 1/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.118?
0.118 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.118
0.118 = 1/10 + 1/100 + 8/1000
0.118 = 0 + 118/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.118 Simplifies to 59/500
0.118 = 118/1000
The greatest common divisor of 118 and 1000 is 2.
118 ÷ 2 = 59
1000 ÷ 2 = 500
Therefore, 118/1000 = 59/500.
0.118 as a Percentage
To convert 0.118 to a percentage, multiply it by 100.
0.118 × 100 = 11.8
Therefore, 0.118 = 11.8%.
Decimals Equivalent to 0.118
0.118 = 0.1180 = 0.11800
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 |
|---|---|---|---|
| 0.118 | thousandths | 118/1000 | 59/500 |
| 0.1180 | ten-thousandths | 1180/10000 | 59/500 |
| 0.11800 | hundred-thousandths | 11800/100000 | 59/500 |
Visual Model of 0.118
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.118 on a Number Line
0.118 lies between 0.117 and 0.119. It is 0.882 below 1 and 0.118 above 0.
On a number line from 0 to 1, it appears 11.8% of the way from 0 to 1.
How Far Is 0.118 from 1?
1 − 0.118 = 0.882
1 − 59/500 = 441/500
0.118 is eight hundred eighty-two thousandths below 1. The remaining part is 882/1000 = 441/500 = 88.2%.
0.118 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0118 | zero point zero one one eight | one hundred eighteen ten-thousandths | 59/5000 | 1.18% | ten times smaller than 0.118 |
| 0.118 | zero point one one eight | one hundred eighteen thousandths | 59/500 | 11.8% | current value |
| 0.1180 | zero point one one eight zero | one thousand one hundred eighty ten-thousandths | 59/500 | 11.8% | same numerical value, written to the ten-thousandths place |
| 1.18 | one point one eight | one and eighteen hundredths | 59/50 | 118% | ten times larger than 0.118 |
Quick Practice
How is 0.118 read digit by digit?
Zero point one one eight.
What is the place-value word form of 0.118?
One hundred eighteen thousandths.
What fraction is 0.118 in lowest terms?
59/500.
What percentage is equal to 0.118?
11.8%.
Which is greater: 0.118 or 0.0118?
0.118 is ten times as large.
Is 0.118 equal to 0.1180?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.118 in words?
0.118 in words is zero point one one eight.
Why is 0.118 called one hundred eighteen thousandths?
Because the digit 1 is in the thousandths place. Therefore, 0.118 represents one hundred eighteen thousandths.
What fraction is 0.118?
0.118 is 118/1000 exactly and 59/500 in lowest terms.
Can 118/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 59/500.
What percentage is 0.118?
0.118 is equal to 11.8%.
Is 0.118 the same as 0.1180?
Yes. 0.118 and 0.1180 have the same numerical value. However, 0.118 is written to the thousandths place, while 0.1180 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.118 larger than 0.0118?
Yes. 0.118 is ten times as large as 0.0118.
What type of decimal is 0.118?
0.118 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents one hundred eighteen thousandths.