Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 155/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.155 in Words
1.155 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.155 in words is one point one five five.
1.155 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 in the tenth place, 5 in the hundredth place, and 5 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 1 | tenth | 1/10 |
| Decimal part | 5 | hundredth | 5/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 1.155?
1.155 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.155
1.155 = 1 + 1/10 + 5/100 + 5/1000
1.155 = 1 + 155/1000
1.155 = 1 31/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.155 Simplifies to 231/200
1.155 = 1155/1000
The greatest common divisor of 1155 and 1000 is 5.
1155 ÷ 5 = 231
1000 ÷ 5 = 200
Therefore, 1155/1000 = 231/200.
As a mixed fraction, the value is 1 31/200.
1.155 as a Percentage
To convert 1.155 to a percentage, multiply it by 100.
1.155 × 100 = 115.5
Therefore, 1.155 = 115.5%.
Decimals Equivalent to 1.155
1.155 = 1.1550 = 1.15500
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 |
|---|---|---|---|
| 1.155 | thousandths | 1155/1000 | 231/200 |
| 1.1550 | ten-thousandths | 11550/10000 | 231/200 |
| 1.15500 | hundred-thousandths | 115500/100000 | 231/200 |
1.155 on a Number Line
1.155 lies between 1 and 2. It is 0.845 below 2 and 0.155 above 1.
11.1552
1.155 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1155 | zero point one one five five | one thousand one hundred fifty-five ten-thousandths | 231/2000 | 11.55% | ten times smaller than 1.155 |
| 1.155 | one point one five five | one and one hundred fifty-five thousandths | 231/200 | 115.5% | current value |
| 1.1550 | one point one five five zero | one and one thousand five hundred fifty ten-thousandths | 231/200 | 115.5% | same numerical value, written to the ten-thousandths place |
| 11.55 | eleven point five five | eleven and fifty-five hundredths | 231/20 | 1155% | ten times larger than 1.155 |
Quick Practice
How is 1.155 read digit by digit?
One point one five five.
What is the place-value word form of 1.155?
One and one hundred fifty-five thousandths.
What fraction is 1.155 in lowest terms?
231/200.
What percentage is equal to 1.155?
115.5%.
What is 1.155 as a mixed fraction?
1 31/200.
Between which whole numbers does 1.155 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.155 in words?
1.155 in words is one point one five five.
Why is 1.155 called one and one hundred fifty-five thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.155 represents one and one hundred fifty-five thousandths.
What fraction is 1.155?
1.155 is 1155/1000 exactly and 231/200 in lowest terms.
Can 1155/1000 be simplified?
Yes. Divide its numerator and denominator by 5 to get 231/200.
What percentage is 1.155?
1.155 is equal to 115.5%.
Is 1.155 the same as 1.1550?
Yes. 1.155 and 1.1550 have the same numerical value. However, 1.155 is written to the thousandths place, while 1.1550 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.155 larger than 0.1155?
Yes. 1.155 is ten times as large as 0.1155.
What type of decimal is 1.155?
1.155 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred fifty-five thousandths.