Decimal in the hundred-thousandths place
42.33320 in Words
42.33320 is a positive terminating decimal greater than 1. It has 5 decimal places, and its final digit is in the hundred-thousandths place.
Direct Answer
42.33320 in words is forty-two point three three three two zero.
42.33320 has the same numerical value as 42.3332, but it is written to the hundred-thousandths place.
42.33320 Place-Value Breakdown
The digits 4 and 2 form the whole-number part, while 3 in the tenth place, 3 in the hundredth place, 3 in the thousandth place, 2 in the ten-thousandth place, and 0 in the hundred-thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 4 | tens | 40 |
| Whole part | 2 | ones | 2 |
| Decimal part | 3 | tenth | 3/10 |
| Decimal part | 3 | hundredth | 3/100 |
| Decimal part | 3 | thousandth | 3/1000 |
| Decimal part | 2 | ten-thousandth | 2/10000 |
| Decimal part | 0 | hundred-thousandth | 0/100000 |
What Kind of Decimal Is 42.33320?
42.33320 is a positive terminating decimal greater than 1. It is written to the hundred-thousandths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of 42.33320
42.33320 = 40 + 2 + 3/10 + 3/100 + 3/1000 + 2/10000
42.33320 = 42 + 33320/100000
42.33320 = 42 833/2500
42.33320 = 4233320/100000
The nonzero terms determine the numerical value, while the trailing zero preserves the written hundred-thousandths precision.
How 42.33320 Simplifies to 105833/2500
42.33320 = 4233320/100000
The greatest common divisor of 4233320 and 100000 is 40.
4233320 ÷ 40 = 105833
100000 ÷ 40 = 2500
Therefore, 4233320/100000 = 105833/2500.
As a mixed fraction, the value is 42 833/2500.
42.33320 as a Percentage
To convert 42.33320 to a percentage, multiply it by 100.
42.33320 × 100 = 4233.32
Therefore, 42.33320 = 4233.32%.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that 42.33320 was written to the hundred-thousandths place.
Whole Part and Fractional Part
This mixed decimal combines the whole part 42 with the fractional part 33320/100000. In place-value words, "and" marks that boundary.
42.33320 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 4.23332 | four point two three three three two | four and twenty-three thousand three hundred thirty-two hundred-thousandths | 105833/25000 | 423.332% | ten times smaller than 42.33320 |
| 42.3332 | forty-two point three three three two | forty-two and three thousand three hundred thirty-two ten-thousandths | 105833/2500 | 4233.32% | same numerical value, fewer written decimal places |
| 42.33320 | forty-two point three three three two zero | forty-two and thirty-three thousand three hundred twenty hundred-thousandths | 105833/2500 | 4233.32% | current value |
| 42.333200 | forty-two point three three three two zero zero | forty-two and three hundred thirty-three thousand two hundred millionths | 105833/2500 | 4233.32% | same numerical value, written to the millionths place |
| 423.332 | four hundred twenty-three point three three two | four hundred twenty-three and three hundred thirty-two thousandths | 105833/250 | 42333.2% | ten times larger than 42.33320 |
Quick Practice
How is 42.33320 read digit by digit?
Forty-two point three three three two zero.
What is the place-value word form of 42.33320?
Forty-two and thirty-three thousand three hundred twenty hundred-thousandths.
What fraction is 42.33320 in lowest terms?
105833/2500.
What percentage is equal to 42.33320?
4233.32%.
What is 42.33320 as a mixed fraction?
42 833/2500.
Between which whole numbers does 42.33320 lie?
Between 42 and 43.
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Frequently Asked Questions
How do you write 42.33320 in words?
42.33320 in words is forty-two point three three three two zero.
Why is 42.33320 called forty-two and thirty-three thousand three hundred twenty 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 and thirty-three thousand three hundred twenty hundred-thousandths.
What fraction is 42.33320?
42.33320 is 4233320/100000 exactly and 105833/2500 in lowest terms.
Can 4233320/100000 be simplified?
Yes. Divide its numerator and denominator by 40 to get 105833/2500.
What percentage is 42.33320?
42.33320 is equal to 4233.32%.
Is 42.33320 the same as 42.333200?
Yes. 42.33320 and 42.333200 have the same numerical value. However, 42.33320 is written to the hundred-thousandths place, while 42.333200 is written to the millionths place and may communicate greater recorded precision.
Is 42.33320 larger than 4.23332?
Yes. 42.33320 is ten times as large as 4.23332.
What type of decimal is 42.33320?
42.33320 is a positive terminating decimal greater than 1. It is written to 5 decimal places and represents forty-two and thirty-three thousand three hundred twenty hundred-thousandths.