Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 102/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.102 in Words
1.102 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.102 in words is one point one zero two.
1.102 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 in the tenth place, 0 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 | 0 | hundredth | 0/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 1.102?
1.102 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.102
1.102 = 1 + 1/10 + 2/1000
1.102 = 1 + 102/1000
1.102 = 1 51/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.102 Simplifies to 551/500
1.102 = 1102/1000
The greatest common divisor of 1102 and 1000 is 2.
1102 ÷ 2 = 551
1000 ÷ 2 = 500
Therefore, 1102/1000 = 551/500.
As a mixed fraction, the value is 1 51/500.
1.102 as a Percentage
To convert 1.102 to a percentage, multiply it by 100.
1.102 × 100 = 110.2
Therefore, 1.102 = 110.2%.
Decimals Equivalent to 1.102
1.102 = 1.1020 = 1.10200
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 |
|---|---|---|---|
| 1.102 | thousandths | 1102/1000 | 551/500 |
| 1.1020 | ten-thousandths | 11020/10000 | 551/500 |
| 1.10200 | hundred-thousandths | 110200/100000 | 551/500 |
1.102 on a Number Line
1.102 lies between 1 and 2. It is 0.898 below 2 and 0.102 above 1.
11.1022
1.102 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1102 | zero point one one zero two | one thousand one hundred two ten-thousandths | 551/5000 | 11.02% | ten times smaller than 1.102 |
| 1.102 | one point one zero two | one and one hundred two thousandths | 551/500 | 110.2% | current value |
| 1.1020 | one point one zero two zero | one and one thousand twenty ten-thousandths | 551/500 | 110.2% | same numerical value, written to the ten-thousandths place |
| 11.02 | eleven point zero two | eleven and two hundredths | 551/50 | 1102% | ten times larger than 1.102 |
Quick Practice
How is 1.102 read digit by digit?
One point one zero two.
What is the place-value word form of 1.102?
One and one hundred two thousandths.
What fraction is 1.102 in lowest terms?
551/500.
What percentage is equal to 1.102?
110.2%.
What is 1.102 as a mixed fraction?
1 51/500.
Between which whole numbers does 1.102 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.102 in words?
1.102 in words is one point one zero two.
Why is 1.102 called one and one hundred two thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.102 represents one and one hundred two thousandths.
What fraction is 1.102?
1.102 is 1102/1000 exactly and 551/500 in lowest terms.
Can 1102/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 551/500.
What percentage is 1.102?
1.102 is equal to 110.2%.
Is 1.102 the same as 1.1020?
Yes. 1.102 and 1.1020 have the same numerical value. However, 1.102 is written to the thousandths place, while 1.1020 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.102 larger than 0.1102?
Yes. 1.102 is ten times as large as 0.1102.
What type of decimal is 1.102?
1.102 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred two thousandths.