Number DigitDecimal in the ten-thousandths place
24.6420 in Words
24.6420 is a positive terminating decimal greater than 1. It has 4 decimal places, and its final digit is in the ten-thousandths place.
Direct Answer
24.6420 in words is twenty-four point six four two zero.
24.6420 has the same numerical value as 24.642, but it is written to the ten-thousandths place.
24.6420 Place-Value Breakdown
The digits 2 and 4 form the whole-number part, while 6 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 | 2 | tens | 20 |
| Whole part | 4 | ones | 4 |
| Decimal part | 6 | tenth | 6/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 2 | thousandth | 2/1000 |
| Decimal part | 0 | ten-thousandth | 0/10000 |
What Kind of Decimal Is 24.6420?
24.6420 is a positive terminating decimal greater 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 24.6420
24.6420 = 20 + 4 + 6/10 + 4/100 + 2/1000
24.6420 = 24 + 6420/10000
24.6420 = 24 321/500
24.6420 = 246420/10000
The nonzero terms determine the numerical value, while the trailing zero preserves the written ten-thousandths precision.
How 24.6420 Simplifies to 12321/500
24.6420 = 246420/10000
The greatest common divisor of 246420 and 10000 is 20.
246420 ÷ 20 = 12321
10000 ÷ 20 = 500
Therefore, 246420/10000 = 12321/500.
As a mixed fraction, the value is 24 321/500.
24.6420 as a Percentage
To convert 24.6420 to a percentage, multiply it by 100.
24.6420 × 100 = 2464.2
Therefore, 24.6420 = 2464.2%.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that 24.6420 was written to the ten-thousandths place.
Whole Part and Fractional Part
This mixed decimal combines the whole part 24 with the fractional part 6420/10000. In place-value words, "and" marks that boundary.
24.6420 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 2.4642 | two point four six four two | two and four thousand six hundred forty-two ten-thousandths | 12321/5000 | 246.42% | ten times smaller than 24.6420 |
| 24.642 | twenty-four point six four two | twenty-four and six hundred forty-two thousandths | 12321/500 | 2464.2% | same numerical value, fewer written decimal places |
| 24.6420 | twenty-four point six four two zero | twenty-four and six thousand four hundred twenty ten-thousandths | 12321/500 | 2464.2% | current value |
| 24.64200 | twenty-four point six four two zero zero | twenty-four and sixty-four thousand two hundred hundred-thousandths | 12321/500 | 2464.2% | same numerical value, written to the hundred-thousandths place |
| 246.42 | two hundred forty-six point four two | two hundred forty-six and forty-two hundredths | 12321/50 | 24642% | ten times larger than 24.6420 |
Quick Practice
How is 24.6420 read digit by digit?
Twenty-four point six four two zero.
What is the place-value word form of 24.6420?
Twenty-four and six thousand four hundred twenty ten-thousandths.
What fraction is 24.6420 in lowest terms?
12321/500.
What percentage is equal to 24.6420?
2464.2%.
What is 24.6420 as a mixed fraction?
24 321/500.
Between which whole numbers does 24.6420 lie?
Between 24 and 25.
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Frequently Asked Questions
How do you write 24.6420 in words?
24.6420 in words is twenty-four point six four two zero.
Why is 24.6420 called twenty-four and six 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 twenty-four and six thousand four hundred twenty ten-thousandths.
What fraction is 24.6420?
24.6420 is 246420/10000 exactly and 12321/500 in lowest terms.
Can 246420/10000 be simplified?
Yes. Divide its numerator and denominator by 20 to get 12321/500.
What percentage is 24.6420?
24.6420 is equal to 2464.2%.
Is 24.6420 the same as 24.64200?
Yes. 24.6420 and 24.64200 have the same numerical value. However, 24.6420 is written to the ten-thousandths place, while 24.64200 is written to the hundred-thousandths place and may communicate greater recorded precision.
Is 24.6420 larger than 2.4642?
Yes. 24.6420 is ten times as large as 2.4642.
What type of decimal is 24.6420?
24.6420 is a positive terminating decimal greater than 1. It is written to 4 decimal places and represents twenty-four and six thousand four hundred twenty ten-thousandths.