Decimal in the thousandths place
0.842 in Words
0.842 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.842 in words is zero point eight four two.
0.842 Place-Value Breakdown
The decimal digits place 8 in the tenth place, 4 in the hundredth place, and 2 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 8 | tenth | 8/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 2 | thousandth | 2/1000 |
What Kind of Decimal Is 0.842?
0.842 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.842
0.842 = 8/10 + 4/100 + 2/1000
0.842 = 0 + 842/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.842 Simplifies to 421/500
0.842 = 842/1000
The greatest common divisor of 842 and 1000 is 2.
842 ÷ 2 = 421
1000 ÷ 2 = 500
Therefore, 842/1000 = 421/500.
0.842 as a Percentage
To convert 0.842 to a percentage, multiply it by 100.
0.842 × 100 = 84.2
Therefore, 0.842 = 84.2%.
Decimals Equivalent to 0.842
0.842 = 0.8420 = 0.84200
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 |
|---|---|---|---|
| 0.842 | thousandths | 842/1000 | 421/500 |
| 0.8420 | ten-thousandths | 8420/10000 | 421/500 |
| 0.84200 | hundred-thousandths | 84200/100000 | 421/500 |
Visual Model of 0.842
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.842 on a Number Line
0.842 lies between 0.841 and 0.843. It is 0.158 below 1 and 0.842 above 0.
On a number line from 0 to 1, it appears 84.2% of the way from 0 to 1.
How Far Is 0.842 from 1?
1 − 0.842 = 0.158
1 − 421/500 = 79/500
0.842 is one hundred fifty-eight thousandths below 1. The remaining part is 158/1000 = 79/500 = 15.8%.
0.842 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0842 | zero point zero eight four two | eight hundred forty-two ten-thousandths | 421/5000 | 8.42% | ten times smaller than 0.842 |
| 0.842 | zero point eight four two | eight hundred forty-two thousandths | 421/500 | 84.2% | current value |
| 0.8420 | zero point eight four two zero | eight thousand four hundred twenty ten-thousandths | 421/500 | 84.2% | same numerical value, written to the ten-thousandths place |
| 8.42 | eight point four two | eight and forty-two hundredths | 421/50 | 842% | ten times larger than 0.842 |
Quick Practice
How is 0.842 read digit by digit?
Zero point eight four two.
What is the place-value word form of 0.842?
Eight hundred forty-two thousandths.
What fraction is 0.842 in lowest terms?
421/500.
What percentage is equal to 0.842?
84.2%.
Which is greater: 0.842 or 0.0842?
0.842 is ten times as large.
Is 0.842 equal to 0.8420?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.842 in words?
0.842 in words is zero point eight four two.
Why is 0.842 called eight hundred forty-two thousandths?
Because the digit 8 is in the thousandths place. Therefore, 0.842 represents eight hundred forty-two thousandths.
What fraction is 0.842?
0.842 is 842/1000 exactly and 421/500 in lowest terms.
Can 842/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 421/500.
What percentage is 0.842?
0.842 is equal to 84.2%.
Is 0.842 the same as 0.8420?
Yes. 0.842 and 0.8420 have the same numerical value. However, 0.842 is written to the thousandths place, while 0.8420 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.842 larger than 0.0842?
Yes. 0.842 is ten times as large as 0.0842.
What type of decimal is 0.842?
0.842 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents eight hundred forty-two thousandths.