Number DigitDecimal in the ten-thousandths place
0.8420 in Words
0.8420 is a positive terminating decimal less than 1. It has 4 decimal places, and its final digit is in the ten-thousandths place.
Direct Answer
0.8420 in words is zero point eight four two zero.
0.8420 has the same numerical value as 0.842, but it is written to the ten-thousandths place.
0.8420 Place-Value Breakdown
The decimal digits place 8 in the tenth place, 4 in the hundredth place, 2 in the thousandth place, and 0 in the ten-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 |
| Decimal part | 0 | ten-thousandth | 0/10000 |
What Kind of Decimal Is 0.8420?
0.8420 is a positive terminating decimal less than 1. It is written to the ten-thousandths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of 0.8420
0.8420 = 8/10 + 4/100 + 2/1000
0.8420 = 0 + 8420/10000
0.8420 = 8420/10000
The nonzero terms determine the numerical value, while the trailing zero preserves the written ten-thousandths precision.
How 0.8420 Simplifies to 421/500
0.8420 = 8420/10000
The greatest common divisor of 8420 and 10000 is 20.
8420 ÷ 20 = 421
10000 ÷ 20 = 500
Therefore, 8420/10000 = 421/500.
0.8420 as a Percentage
To convert 0.8420 to a percentage, multiply it by 100.
0.8420 × 100 = 84.2
Therefore, 0.8420 = 84.2%.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that 0.8420 was written to the ten-thousandths place.
How Far Is 0.8420 from 1?
1 − 0.8420 = 0.158
1 − 421/500 = 79/500
0.8420 is one hundred fifty-eight thousandths below 1. The remaining part is 1580/10000 = 79/500 = 15.8%.
0.8420 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 0.8420 |
| 0.842 | zero point eight four two | eight hundred forty-two thousandths | 421/500 | 84.2% | same numerical value, fewer written decimal places |
| 0.8420 | zero point eight four two zero | eight thousand four hundred twenty ten-thousandths | 421/500 | 84.2% | current value |
| 0.84200 | zero point eight four two zero zero | eighty-four thousand two hundred hundred-thousandths | 421/500 | 84.2% | same numerical value, written to the hundred-thousandths place |
| 8.42 | eight point four two | eight and forty-two hundredths | 421/50 | 842% | ten times larger than 0.8420 |
Quick Practice
How is 0.8420 read digit by digit?
Zero point eight four two zero.
What is the place-value word form of 0.8420?
Eight thousand four hundred twenty ten-thousandths.
What fraction is 0.8420 in lowest terms?
421/500.
What percentage is equal to 0.8420?
84.2%.
Which is greater: 0.8420 or 0.0842?
0.8420 is ten times as large.
Is 0.8420 equal to 0.84200?
Yes. The added trailing zero changes written precision, not numerical value.
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Frequently Asked Questions
How do you write 0.8420 in words?
0.8420 in words is zero point eight four two zero.
Why is 0.8420 called eight thousand four hundred twenty ten-thousandths?
There are 4 digits after the point, so the fractional part is expressed in ten-thousandths. Read the complete value as eight thousand four hundred twenty ten-thousandths.
What fraction is 0.8420?
0.8420 is 8420/10000 exactly and 421/500 in lowest terms.
Can 8420/10000 be simplified?
Yes. Divide its numerator and denominator by 20 to get 421/500.
What percentage is 0.8420?
0.8420 is equal to 84.2%.
Is 0.8420 the same as 0.84200?
Yes. 0.8420 and 0.84200 have the same numerical value. However, 0.8420 is written to the ten-thousandths place, while 0.84200 is written to the hundred-thousandths place and may communicate greater recorded precision.
Is 0.8420 larger than 0.0842?
Yes. 0.8420 is ten times as large as 0.0842.
What type of decimal is 0.8420?
0.8420 is a positive terminating decimal less than 1. It is written to 4 decimal places and represents eight thousand four hundred twenty ten-thousandths.