Number DigitDecimal in the thousandths place
428.342 in Words
428.342 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
428.342 in words is four hundred twenty-eight point three four two.
428.342 Place-Value Breakdown
The digits 4, 2, and 8 form the whole-number part, while 3 in the tenth place, 4 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 4 | hundreds | 400 |
| Whole part | 2 | tens | 20 |
| Whole part | 8 | ones | 8 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 428.342?
428.342 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 428.342
428.342 = 400 + 20 + 8 + 3/10 + 4/100 + 2/1000
428.342 = 428 + 342/1000
428.342 = 428 171/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 428.342 Simplifies to 214171/500
428.342 = 428342/1000
The greatest common divisor of 428342 and 1000 is 2.
428342 ÷ 2 = 214171
1000 ÷ 2 = 500
Therefore, 428342/1000 = 214171/500.
As a mixed fraction, the value is 428 171/500.
428.342 as a Percentage
To convert 428.342 to a percentage, multiply it by 100.
428.342 × 100 = 42834.2
Therefore, 428.342 = 42834.2%.
Decimals Equivalent to 428.342
428.342 = 428.3420 = 428.34200
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 |
|---|---|---|---|
| 428.342 | thousandths | 428342/1000 | 214171/500 |
| 428.3420 | ten-thousandths | 4283420/10000 | 214171/500 |
| 428.34200 | hundred-thousandths | 42834200/100000 | 214171/500 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 428 with the fractional part 342/1000. In place-value words, "and" marks that boundary.
428.342 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 42.8342 | forty-two point eight three four two | forty-two and eight thousand three hundred forty-two ten-thousandths | 214171/5000 | 4283.42% | ten times smaller than 428.342 |
| 428.342 | four hundred twenty-eight point three four two | four hundred twenty-eight and three hundred forty-two thousandths | 214171/500 | 42834.2% | current value |
| 428.3420 | four hundred twenty-eight point three four two zero | four hundred twenty-eight and three thousand four hundred twenty ten-thousandths | 214171/500 | 42834.2% | same numerical value, written to the ten-thousandths place |
| 4283.42 | four thousand two hundred eighty-three point four two | four thousand two hundred eighty-three and forty-two hundredths | 214171/50 | 428342% | ten times larger than 428.342 |
Quick Practice
How is 428.342 read digit by digit?
Four hundred twenty-eight point three four two.
What is the place-value word form of 428.342?
Four hundred twenty-eight and three hundred forty-two thousandths.
What fraction is 428.342 in lowest terms?
214171/500.
What percentage is equal to 428.342?
42834.2%.
What is 428.342 as a mixed fraction?
428 171/500.
Between which whole numbers does 428.342 lie?
Between 428 and 429.
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Frequently Asked Questions
How do you write 428.342 in words?
428.342 in words is four hundred twenty-eight point three four two.
Why is 428.342 called four hundred twenty-eight and three hundred forty-two thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as four hundred twenty-eight and three hundred forty-two thousandths.
What fraction is 428.342?
428.342 is 428342/1000 exactly and 214171/500 in lowest terms.
Can 428342/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 214171/500.
What percentage is 428.342?
428.342 is equal to 42834.2%.
Is 428.342 the same as 428.3420?
Yes. 428.342 and 428.3420 have the same numerical value. However, 428.342 is written to the thousandths place, while 428.3420 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 428.342 larger than 42.8342?
Yes. 428.342 is ten times as large as 42.8342.
What type of decimal is 428.342?
428.342 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents four hundred twenty-eight and three hundred forty-two thousandths.