Number DigitDecimal in the hundred-thousandths place
0.42125 in Words
0.42125 is a positive terminating decimal less than 1. It has 5 decimal places, and its final digit is in the hundred-thousandths place.
Direct Answer
0.42125 in words is zero point four two one two five.
0.42125 Place-Value Breakdown
The decimal digits place 4 in the tenth place, 2 in the hundredth place, 1 in the thousandth place, 2 in the ten-thousandth place, and 5 in the hundred-thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 1 | thousandth | 1/1000 |
| Decimal part | 2 | ten-thousandth | 2/10000 |
| Decimal part | 5 | hundred-thousandth | 5/100000 |
What Kind of Decimal Is 0.42125?
0.42125 is a positive terminating decimal less than 1. It is written to the hundred-thousandths place.
Expanded Form of 0.42125
0.42125 = 4/10 + 2/100 + 1/1000 + 2/10000 + 5/100000
0.42125 = 0 + 42125/100000
The final nonzero digit is in the hundred-thousandths place, so its value is expressed with a denominator of 100000.
How 0.42125 Simplifies to 337/800
0.42125 = 42125/100000
The greatest common divisor of 42125 and 100000 is 125.
42125 ÷ 125 = 337
100000 ÷ 125 = 800
Therefore, 42125/100000 = 337/800.
0.42125 as a Percentage
To convert 0.42125 to a percentage, multiply it by 100.
0.42125 × 100 = 42.125
Therefore, 0.42125 = 42.125%.
How Far Is 0.42125 from 1?
1 − 0.42125 = 0.57875
1 − 337/800 = 463/800
0.42125 is fifty-seven thousand eight hundred seventy-five hundred-thousandths below 1. The remaining part is 57875/100000 = 463/800 = 57.875%.
0.42125 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.042125 | zero point zero four two one two five | forty-two thousand one hundred twenty-five millionths | 337/8000 | 4.2125% | ten times smaller than 0.42125 |
| 0.42125 | zero point four two one two five | forty-two thousand one hundred twenty-five hundred-thousandths | 337/800 | 42.125% | current value |
| 0.421250 | zero point four two one two five zero | four hundred twenty-one thousand two hundred fifty millionths | 337/800 | 42.125% | same numerical value, written to the millionths place |
| 4.2125 | four point two one two five | four and two thousand one hundred twenty-five ten-thousandths | 337/80 | 421.25% | ten times larger than 0.42125 |
Quick Practice
How is 0.42125 read digit by digit?
Zero point four two one two five.
What is the place-value word form of 0.42125?
Forty-two thousand one hundred twenty-five hundred-thousandths.
What fraction is 0.42125 in lowest terms?
337/800.
What percentage is equal to 0.42125?
42.125%.
Which is greater: 0.42125 or 0.042125?
0.42125 is ten times as large.
Is 0.42125 equal to 0.421250?
Yes. The added trailing zero changes written precision, not numerical value.
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Frequently Asked Questions
How do you write 0.42125 in words?
0.42125 in words is zero point four two one two five.
Why is 0.42125 called forty-two thousand one hundred twenty-five hundred-thousandths?
There are 5 digits after the point, so the fractional part is expressed in hundred-thousandths. Read the complete value as forty-two thousand one hundred twenty-five hundred-thousandths.
What fraction is 0.42125?
0.42125 is 42125/100000 exactly and 337/800 in lowest terms.
Can 42125/100000 be simplified?
Yes. Divide its numerator and denominator by 125 to get 337/800.
What percentage is 0.42125?
0.42125 is equal to 42.125%.
Is 0.42125 the same as 0.421250?
Yes. 0.42125 and 0.421250 have the same numerical value. However, 0.42125 is written to the hundred-thousandths place, while 0.421250 is written to the millionths place and may communicate greater recorded precision.
Is 0.42125 larger than 0.042125?
Yes. 0.42125 is ten times as large as 0.042125.
What type of decimal is 0.42125?
0.42125 is a positive terminating decimal less than 1. It is written to 5 decimal places and represents forty-two thousand one hundred twenty-five hundred-thousandths.