Number DigitDecimal in the thousandths place
42.833 in Words
42.833 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
42.833 in words is forty-two point eight three three.
42.833 Place-Value Breakdown
The digits 4 and 2 form the whole-number part, while 8 in the tenth place, 3 in the hundredth place, and 3 in the 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 | 3 | thousandth | 3/1000 |
What Kind of Decimal Is 42.833?
42.833 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 42.833
42.833 = 40 + 2 + 8/10 + 3/100 + 3/1000
42.833 = 42 + 833/1000
42.833 = 42 833/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why 42833/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is 42833/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
As a mixed fraction, the value is 42 833/1000.
42.833 as a Percentage
To convert 42.833 to a percentage, multiply it by 100.
42.833 × 100 = 4283.3
Therefore, 42.833 = 4283.3%.
Decimals Equivalent to 42.833
42.833 = 42.8330 = 42.83300
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 |
|---|---|---|---|
| 42.833 | thousandths | 42833/1000 | 42833/1000 |
| 42.8330 | ten-thousandths | 428330/10000 | 42833/1000 |
| 42.83300 | hundred-thousandths | 4283300/100000 | 42833/1000 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 42 with the fractional part 833/1000. In place-value words, "and" marks that boundary.
42.833 on a Number Line
42.833 lies between 42 and 43. It is 0.167 below 43 and 0.833 above 42.
42.833 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 4.2833 | four point two eight three three | four and two thousand eight hundred thirty-three ten-thousandths | 42833/10000 | 428.33% | ten times smaller than 42.833 |
| 42.833 | forty-two point eight three three | forty-two and eight hundred thirty-three thousandths | 42833/1000 | 4283.3% | current value |
| 42.8330 | forty-two point eight three three zero | forty-two and eight thousand three hundred thirty ten-thousandths | 42833/1000 | 4283.3% | same numerical value, written to the ten-thousandths place |
| 428.33 | four hundred twenty-eight point three three | four hundred twenty-eight and thirty-three hundredths | 42833/100 | 42833% | ten times larger than 42.833 |
Quick Practice
How is 42.833 read digit by digit?
Forty-two point eight three three.
What is the place-value word form of 42.833?
Forty-two and eight hundred thirty-three thousandths.
What fraction is 42.833 in lowest terms?
42833/1000.
What percentage is equal to 42.833?
4283.3%.
What is 42.833 as a mixed fraction?
42 833/1000.
Between which whole numbers does 42.833 lie?
Between 42 and 43.
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Frequently Asked Questions
How do you write 42.833 in words?
42.833 in words is forty-two point eight three three.
Why is 42.833 called forty-two and eight hundred thirty-three thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as forty-two and eight hundred thirty-three thousandths.
What fraction is 42.833?
42.833 is 42833/1000 exactly and 42833/1000 in lowest terms.
Is 42833/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 42.833?
42.833 is equal to 4283.3%.
Is 42.833 the same as 42.8330?
Yes. 42.833 and 42.8330 have the same numerical value. However, 42.833 is written to the thousandths place, while 42.8330 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 42.833 larger than 4.2833?
Yes. 42.833 is ten times as large as 4.2833.
What type of decimal is 42.833?
42.833 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents forty-two and eight hundred thirty-three thousandths.