Number DigitDecimal in the hundred-thousandths place
0.42123 in Words
0.42123 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
0.42123 in words is zero point four two one two three.
0.42123 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 3 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 | 3 | hundred-thousandth | 3/100000 |
What Kind of Decimal Is 0.42123?
0.42123 is a positive terminating decimal less than 1. It is written to the hundred-thousandths place.
Expanded Form of 0.42123
0.42123 = 4/10 + 2/100 + 1/1000 + 2/10000 + 3/100000
0.42123 = 0 + 42123/100000
The final nonzero digit is in the hundred-thousandths place, so its value is expressed with a denominator of 100000.
Why 42123/100000 Is Already in Lowest Terms
There are 5 decimal places, so the exact fraction is 42123/100000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
0.42123 as a Percentage
To convert 0.42123 to a percentage, multiply it by 100.
0.42123 × 100 = 42.123
Therefore, 0.42123 = 42.123%.
How Far Is 0.42123 from 1?
1 − 0.42123 = 0.57877
1 − 42123/100000 = 57877/100000
0.42123 is fifty-seven thousand eight hundred seventy-seven hundred-thousandths below 1. The remaining part is 57877/100000 = 57877/100000 = 57.877%.
0.42123 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.042123 | zero point zero four two one two three | forty-two thousand one hundred twenty-three millionths | 42123/1000000 | 4.2123% | ten times smaller than 0.42123 |
| 0.42123 | zero point four two one two three | forty-two thousand one hundred twenty-three hundred-thousandths | 42123/100000 | 42.123% | current value |
| 0.421230 | zero point four two one two three zero | four hundred twenty-one thousand two hundred thirty millionths | 42123/100000 | 42.123% | same numerical value, written to the millionths place |
| 4.2123 | four point two one two three | four and two thousand one hundred twenty-three ten-thousandths | 42123/10000 | 421.23% | ten times larger than 0.42123 |
Quick Practice
How is 0.42123 read digit by digit?
Zero point four two one two three.
What is the place-value word form of 0.42123?
Forty-two thousand one hundred twenty-three hundred-thousandths.
What fraction is 0.42123 in lowest terms?
42123/100000.
What percentage is equal to 0.42123?
42.123%.
Which is greater: 0.42123 or 0.042123?
0.42123 is ten times as large.
Is 0.42123 equal to 0.421230?
Yes. The added trailing zero changes written precision, not numerical value.
Convert Another Decimal
Use the full converter for custom input, examples, and the complete place-name chart.
Ready for a lesson or a little practice
Printable decimal worksheets
Each free PDF contains eight questions. Download a separate answer key with explanations. No account is required.
Frequently Asked Questions
How do you write 0.42123 in words?
0.42123 in words is zero point four two one two three.
Why is 0.42123 called forty-two thousand one hundred twenty-three 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-three hundred-thousandths.
What fraction is 0.42123?
0.42123 is 42123/100000 exactly and 42123/100000 in lowest terms.
Is 42123/100000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is 0.42123?
0.42123 is equal to 42.123%.
Is 0.42123 the same as 0.421230?
Yes. 0.42123 and 0.421230 have the same numerical value. However, 0.42123 is written to the hundred-thousandths place, while 0.421230 is written to the millionths place and may communicate greater recorded precision.
Is 0.42123 larger than 0.042123?
Yes. 0.42123 is ten times as large as 0.042123.
What type of decimal is 0.42123?
0.42123 is a positive terminating decimal less than 1. It is written to 5 decimal places and represents forty-two thousand one hundred twenty-three hundred-thousandths.