Number DigitDecimal in the thousandths place
27.742 in Words
27.742 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
27.742 in words is twenty-seven point seven four two.
27.742 Place-Value Breakdown
The digits 2 and 7 form the whole-number part, while 7 in the tenth place, 4 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 2 | tens | 20 |
| Whole part | 7 | ones | 7 |
| Decimal part | 7 | tenth | 7/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 27.742?
27.742 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 27.742
27.742 = 20 + 7 + 7/10 + 4/100 + 2/1000
27.742 = 27 + 742/1000
27.742 = 27 371/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 27.742 Simplifies to 13871/500
27.742 = 27742/1000
The greatest common divisor of 27742 and 1000 is 2.
27742 ÷ 2 = 13871
1000 ÷ 2 = 500
Therefore, 27742/1000 = 13871/500.
As a mixed fraction, the value is 27 371/500.
27.742 as a Percentage
To convert 27.742 to a percentage, multiply it by 100.
27.742 × 100 = 2774.2
Therefore, 27.742 = 2774.2%.
Decimals Equivalent to 27.742
27.742 = 27.7420 = 27.74200
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 |
|---|---|---|---|
| 27.742 | thousandths | 27742/1000 | 13871/500 |
| 27.7420 | ten-thousandths | 277420/10000 | 13871/500 |
| 27.74200 | hundred-thousandths | 2774200/100000 | 13871/500 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 27 with the fractional part 742/1000. In place-value words, "and" marks that boundary.
27.742 on a Number Line
27.742 lies between 27 and 28. It is 0.258 below 28 and 0.742 above 27.
27.742 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 2.7742 | two point seven seven four two | two and seven thousand seven hundred forty-two ten-thousandths | 13871/5000 | 277.42% | ten times smaller than 27.742 |
| 27.742 | twenty-seven point seven four two | twenty-seven and seven hundred forty-two thousandths | 13871/500 | 2774.2% | current value |
| 27.7420 | twenty-seven point seven four two zero | twenty-seven and seven thousand four hundred twenty ten-thousandths | 13871/500 | 2774.2% | same numerical value, written to the ten-thousandths place |
| 277.42 | two hundred seventy-seven point four two | two hundred seventy-seven and forty-two hundredths | 13871/50 | 27742% | ten times larger than 27.742 |
Quick Practice
How is 27.742 read digit by digit?
Twenty-seven point seven four two.
What is the place-value word form of 27.742?
Twenty-seven and seven hundred forty-two thousandths.
What fraction is 27.742 in lowest terms?
13871/500.
What percentage is equal to 27.742?
2774.2%.
What is 27.742 as a mixed fraction?
27 371/500.
Between which whole numbers does 27.742 lie?
Between 27 and 28.
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Frequently Asked Questions
How do you write 27.742 in words?
27.742 in words is twenty-seven point seven four two.
Why is 27.742 called twenty-seven and seven hundred forty-two thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as twenty-seven and seven hundred forty-two thousandths.
What fraction is 27.742?
27.742 is 27742/1000 exactly and 13871/500 in lowest terms.
Can 27742/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 13871/500.
What percentage is 27.742?
27.742 is equal to 2774.2%.
Is 27.742 the same as 27.7420?
Yes. 27.742 and 27.7420 have the same numerical value. However, 27.742 is written to the thousandths place, while 27.7420 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 27.742 larger than 2.7742?
Yes. 27.742 is ten times as large as 2.7742.
What type of decimal is 27.742?
27.742 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents twenty-seven and seven hundred forty-two thousandths.