Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 142/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.142 in Words
1.142 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.142 in words is one point one four two.
1.142 Place-Value Breakdown
The digits 1 form the whole-number part, while 1 in the tenth place, 4 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 | 4 | hundredth | 4/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 1.142?
1.142 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.142
1.142 = 1 + 1/10 + 4/100 + 2/1000
1.142 = 1 + 142/1000
1.142 = 1 71/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.142 Simplifies to 571/500
1.142 = 1142/1000
The greatest common divisor of 1142 and 1000 is 2.
1142 ÷ 2 = 571
1000 ÷ 2 = 500
Therefore, 1142/1000 = 571/500.
As a mixed fraction, the value is 1 71/500.
1.142 as a Percentage
To convert 1.142 to a percentage, multiply it by 100.
1.142 × 100 = 114.2
Therefore, 1.142 = 114.2%.
Decimals Equivalent to 1.142
1.142 = 1.1420 = 1.14200
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 |
|---|---|---|---|
| 1.142 | thousandths | 1142/1000 | 571/500 |
| 1.1420 | ten-thousandths | 11420/10000 | 571/500 |
| 1.14200 | hundred-thousandths | 114200/100000 | 571/500 |
1.142 on a Number Line
1.142 lies between 1 and 2. It is 0.858 below 2 and 0.142 above 1.
11.1422
1.142 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1142 | zero point one one four two | one thousand one hundred forty-two ten-thousandths | 571/5000 | 11.42% | ten times smaller than 1.142 |
| 1.142 | one point one four two | one and one hundred forty-two thousandths | 571/500 | 114.2% | current value |
| 1.1420 | one point one four two zero | one and one thousand four hundred twenty ten-thousandths | 571/500 | 114.2% | same numerical value, written to the ten-thousandths place |
| 11.42 | eleven point four two | eleven and forty-two hundredths | 571/50 | 1142% | ten times larger than 1.142 |
Quick Practice
How is 1.142 read digit by digit?
One point one four two.
What is the place-value word form of 1.142?
One and one hundred forty-two thousandths.
What fraction is 1.142 in lowest terms?
571/500.
What percentage is equal to 1.142?
114.2%.
What is 1.142 as a mixed fraction?
1 71/500.
Between which whole numbers does 1.142 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.142 in words?
1.142 in words is one point one four two.
Why is 1.142 called one and one hundred forty-two thousandths?
Because the digit 1 is in the thousandths place. Therefore, 1.142 represents one and one hundred forty-two thousandths.
What fraction is 1.142?
1.142 is 1142/1000 exactly and 571/500 in lowest terms.
Can 1142/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 571/500.
What percentage is 1.142?
1.142 is equal to 114.2%.
Is 1.142 the same as 1.1420?
Yes. 1.142 and 1.1420 have the same numerical value. However, 1.142 is written to the thousandths place, while 1.1420 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.142 larger than 0.1142?
Yes. 1.142 is ten times as large as 0.1142.
What type of decimal is 1.142?
1.142 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and one hundred forty-two thousandths.