Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 118/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.118 in Words
1.118 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.118 in words is one point one one eight.
1.118 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 in the tenth place, 1 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 1 | tenth | 1/10 |
| Decimal part | 1 | hundredth | 1/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 1.118?
1.118 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.118
1.118 = 1 + 1/10 + 1/100 + 8/1000
1.118 = 1 + 118/1000
1.118 = 1 59/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.118 Simplifies to 559/500
1.118 = 1118/1000
The greatest common divisor of 1118 and 1000 is 2.
1118 ÷ 2 = 559
1000 ÷ 2 = 500
Therefore, 1118/1000 = 559/500.
As a mixed fraction, the value is 1 59/500.
1.118 as a Percentage
To convert 1.118 to a percentage, multiply it by 100.
1.118 × 100 = 111.8
Therefore, 1.118 = 111.8%.
Decimals Equivalent to 1.118
1.118 = 1.1180 = 1.11800
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 |
|---|---|---|---|
| 1.118 | thousandths | 1118/1000 | 559/500 |
| 1.1180 | ten-thousandths | 11180/10000 | 559/500 |
| 1.11800 | hundred-thousandths | 111800/100000 | 559/500 |
1.118 on a Number Line
1.118 lies between 1 and 2. It is 0.882 below 2 and 0.118 above 1.
11.1182
1.118 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1118 | zero point one one one eight | one thousand one hundred eighteen ten-thousandths | 559/5000 | 11.18% | ten times smaller than 1.118 |
| 1.118 | one point one one eight | one and one hundred eighteen thousandths | 559/500 | 111.8% | current value |
| 1.1180 | one point one one eight zero | one and one thousand one hundred eighty ten-thousandths | 559/500 | 111.8% | same numerical value, written to the ten-thousandths place |
| 11.18 | eleven point one eight | eleven and eighteen hundredths | 559/50 | 1118% | ten times larger than 1.118 |
Quick Practice
How is 1.118 read digit by digit?
One point one one eight.
What is the place-value word form of 1.118?
One and one hundred eighteen thousandths.
What fraction is 1.118 in lowest terms?
559/500.
What percentage is equal to 1.118?
111.8%.
What is 1.118 as a mixed fraction?
1 59/500.
Between which whole numbers does 1.118 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.118 in words?
1.118 in words is one point one one eight.
Why is 1.118 called one and one hundred eighteen thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.118 represents one and one hundred eighteen thousandths.
What fraction is 1.118?
1.118 is 1118/1000 exactly and 559/500 in lowest terms.
Can 1118/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 559/500.
What percentage is 1.118?
1.118 is equal to 111.8%.
Is 1.118 the same as 1.1180?
Yes. 1.118 and 1.1180 have the same numerical value. However, 1.118 is written to the thousandths place, while 1.1180 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.118 larger than 0.1118?
Yes. 1.118 is ten times as large as 0.1118.
What type of decimal is 1.118?
1.118 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred eighteen thousandths.