Number DigitDecimal in the ten-thousandths place
42.8342 in Words
42.8342 is a positive terminating decimal greater than 1. It has 4 decimal places, and its final digit is in the ten-thousandths place.
Direct Answer
42.8342 in words is forty-two point eight three four two.
42.8342 Place-Value Breakdown
The digits 4 and 2 form the whole-number part, while 8 in the tenth place, 3 in the hundredth place, 4 in the thousandth place, and 2 in the ten-thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 4 | tens | 40 |
| Whole part | 2 | ones | 2 |
| Decimal part | 8 | tenth | 8/10 |
| Decimal part | 3 | hundredth | 3/100 |
| Decimal part | 4 | thousandth | 4/1000 |
| Decimal part | 2 | ten-thousandth | 2/10000 |
What Kind of Decimal Is 42.8342?
42.8342 is a positive terminating decimal greater than 1. It is written to the ten-thousandths place.
Expanded Form of 42.8342
42.8342 = 40 + 2 + 8/10 + 3/100 + 4/1000 + 2/10000
42.8342 = 42 + 8342/10000
42.8342 = 42 4171/5000
The final nonzero digit is in the ten-thousandths place, so its value is expressed with a denominator of 10000.
How 42.8342 Simplifies to 214171/5000
42.8342 = 428342/10000
The greatest common divisor of 428342 and 10000 is 2.
428342 ÷ 2 = 214171
10000 ÷ 2 = 5000
Therefore, 428342/10000 = 214171/5000.
As a mixed fraction, the value is 42 4171/5000.
42.8342 as a Percentage
To convert 42.8342 to a percentage, multiply it by 100.
42.8342 × 100 = 4283.42
Therefore, 42.8342 = 4283.42%.
Whole Part and Fractional Part
This mixed decimal combines the whole part 42 with the fractional part 8342/10000. In place-value words, "and" marks that boundary.
42.8342 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 4.28342 | four point two eight three four two | four and twenty-eight thousand three hundred forty-two hundred-thousandths | 214171/50000 | 428.342% | ten times smaller than 42.8342 |
| 42.8342 | forty-two point eight three four two | forty-two and eight thousand three hundred forty-two ten-thousandths | 214171/5000 | 4283.42% | current value |
| 42.83420 | forty-two point eight three four two zero | forty-two and eighty-three thousand four hundred twenty hundred-thousandths | 214171/5000 | 4283.42% | same numerical value, written to the hundred-thousandths place |
| 428.342 | four hundred twenty-eight point three four two | four hundred twenty-eight and three hundred forty-two thousandths | 214171/500 | 42834.2% | ten times larger than 42.8342 |
Quick Practice
How is 42.8342 read digit by digit?
Forty-two point eight three four two.
What is the place-value word form of 42.8342?
Forty-two and eight thousand three hundred forty-two ten-thousandths.
What fraction is 42.8342 in lowest terms?
214171/5000.
What percentage is equal to 42.8342?
4283.42%.
What is 42.8342 as a mixed fraction?
42 4171/5000.
Between which whole numbers does 42.8342 lie?
Between 42 and 43.
Convert Another Decimal
Use the full converter for custom input, examples, and the complete place-name chart.
Ready for a lesson or a little practice
Printable decimal worksheets
Each free PDF contains eight questions. Download a separate answer key with explanations. No account is required.
Frequently Asked Questions
How do you write 42.8342 in words?
42.8342 in words is forty-two point eight three four two.
Why is 42.8342 called forty-two and eight thousand three hundred forty-two ten-thousandths?
There are 4 digits after the point, so the fractional part is expressed in ten-thousandths. Read the complete value as forty-two and eight thousand three hundred forty-two ten-thousandths.
What fraction is 42.8342?
42.8342 is 428342/10000 exactly and 214171/5000 in lowest terms.
Can 428342/10000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 214171/5000.
What percentage is 42.8342?
42.8342 is equal to 4283.42%.
Is 42.8342 the same as 42.83420?
Yes. 42.8342 and 42.83420 have the same numerical value. However, 42.8342 is written to the ten-thousandths place, while 42.83420 is written to the hundred-thousandths place and may communicate greater recorded precision.
Is 42.8342 larger than 4.28342?
Yes. 42.8342 is ten times as large as 4.28342.
What type of decimal is 42.8342?
42.8342 is a positive terminating decimal greater than 1. It is written to 4 decimal places and represents forty-two and eight thousand three hundred forty-two ten-thousandths.