Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 122/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.122 in Words
1.122 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.122 in words is one point one two two.
1.122 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 in the tenth place, 2 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 1 | tenth | 1/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 1.122?
1.122 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.122
1.122 = 1 + 1/10 + 2/100 + 2/1000
1.122 = 1 + 122/1000
1.122 = 1 61/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.122 Simplifies to 561/500
1.122 = 1122/1000
The greatest common divisor of 1122 and 1000 is 2.
1122 ÷ 2 = 561
1000 ÷ 2 = 500
Therefore, 1122/1000 = 561/500.
As a mixed fraction, the value is 1 61/500.
1.122 as a Percentage
To convert 1.122 to a percentage, multiply it by 100.
1.122 × 100 = 112.2
Therefore, 1.122 = 112.2%.
Decimals Equivalent to 1.122
1.122 = 1.1220 = 1.12200
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 |
|---|---|---|---|
| 1.122 | thousandths | 1122/1000 | 561/500 |
| 1.1220 | ten-thousandths | 11220/10000 | 561/500 |
| 1.12200 | hundred-thousandths | 112200/100000 | 561/500 |
1.122 on a Number Line
1.122 lies between 1 and 2. It is 0.878 below 2 and 0.122 above 1.
11.1222
1.122 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1122 | zero point one one two two | one thousand one hundred twenty-two ten-thousandths | 561/5000 | 11.22% | ten times smaller than 1.122 |
| 1.122 | one point one two two | one and one hundred twenty-two thousandths | 561/500 | 112.2% | current value |
| 1.1220 | one point one two two zero | one and one thousand two hundred twenty ten-thousandths | 561/500 | 112.2% | same numerical value, written to the ten-thousandths place |
| 11.22 | eleven point two two | eleven and twenty-two hundredths | 561/50 | 1122% | ten times larger than 1.122 |
Quick Practice
How is 1.122 read digit by digit?
One point one two two.
What is the place-value word form of 1.122?
One and one hundred twenty-two thousandths.
What fraction is 1.122 in lowest terms?
561/500.
What percentage is equal to 1.122?
112.2%.
What is 1.122 as a mixed fraction?
1 61/500.
Between which whole numbers does 1.122 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.122 in words?
1.122 in words is one point one two two.
Why is 1.122 called one and one hundred twenty-two thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.122 represents one and one hundred twenty-two thousandths.
What fraction is 1.122?
1.122 is 1122/1000 exactly and 561/500 in lowest terms.
Can 1122/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 561/500.
What percentage is 1.122?
1.122 is equal to 112.2%.
Is 1.122 the same as 1.1220?
Yes. 1.122 and 1.1220 have the same numerical value. However, 1.122 is written to the thousandths place, while 1.1220 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.122 larger than 0.1122?
Yes. 1.122 is ten times as large as 0.1122.
What type of decimal is 1.122?
1.122 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred twenty-two thousandths.