Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 145/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.145 in Words
1.145 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.145 in words is one point one four five.
1.145 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 in the tenth place, 4 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 | 4 | hundredth | 4/100 |
| Decimal part | 5 | thousandth | 5/1000 |
What Kind of Decimal Is 1.145?
1.145 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.145
1.145 = 1 + 1/10 + 4/100 + 5/1000
1.145 = 1 + 145/1000
1.145 = 1 29/200
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.145 Simplifies to 229/200
1.145 = 1145/1000
The greatest common divisor of 1145 and 1000 is 5.
1145 ÷ 5 = 229
1000 ÷ 5 = 200
Therefore, 1145/1000 = 229/200.
As a mixed fraction, the value is 1 29/200.
1.145 as a Percentage
To convert 1.145 to a percentage, multiply it by 100.
1.145 × 100 = 114.5
Therefore, 1.145 = 114.5%.
Decimals Equivalent to 1.145
1.145 = 1.1450 = 1.14500
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 |
|---|---|---|---|
| 1.145 | thousandths | 1145/1000 | 229/200 |
| 1.1450 | ten-thousandths | 11450/10000 | 229/200 |
| 1.14500 | hundred-thousandths | 114500/100000 | 229/200 |
1.145 on a Number Line
1.145 lies between 1 and 2. It is 0.855 below 2 and 0.145 above 1.
11.1452
1.145 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1145 | zero point one one four five | one thousand one hundred forty-five ten-thousandths | 229/2000 | 11.45% | ten times smaller than 1.145 |
| 1.145 | one point one four five | one and one hundred forty-five thousandths | 229/200 | 114.5% | current value |
| 1.1450 | one point one four five zero | one and one thousand four hundred fifty ten-thousandths | 229/200 | 114.5% | same numerical value, written to the ten-thousandths place |
| 11.45 | eleven point four five | eleven and forty-five hundredths | 229/20 | 1145% | ten times larger than 1.145 |
Quick Practice
How is 1.145 read digit by digit?
One point one four five.
What is the place-value word form of 1.145?
One and one hundred forty-five thousandths.
What fraction is 1.145 in lowest terms?
229/200.
What percentage is equal to 1.145?
114.5%.
What is 1.145 as a mixed fraction?
1 29/200.
Between which whole numbers does 1.145 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.145 in words?
1.145 in words is one point one four five.
Why is 1.145 called one and one hundred forty-five thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.145 represents one and one hundred forty-five thousandths.
What fraction is 1.145?
1.145 is 1145/1000 exactly and 229/200 in lowest terms.
Can 1145/1000 be simplified?
Yes. Divide its numerator and denominator by 5 to get 229/200.
What percentage is 1.145?
1.145 is equal to 114.5%.
Is 1.145 the same as 1.1450?
Yes. 1.145 and 1.1450 have the same numerical value. However, 1.145 is written to the thousandths place, while 1.1450 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.145 larger than 0.1145?
Yes. 1.145 is ten times as large as 0.1145.
What type of decimal is 1.145?
1.145 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred forty-five thousandths.