Number DigitDecimal in the thousandths place
24.642 in Words
24.642 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
24.642 in words is twenty-four point six four two.
24.642 Place-Value Breakdown
The digits 2 and 4 form the whole-number part, while 6 in the tenth place, 4 in the hundredth place, and 2 in the 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 |
What Kind of Decimal Is 24.642?
24.642 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 24.642
24.642 = 20 + 4 + 6/10 + 4/100 + 2/1000
24.642 = 24 + 642/1000
24.642 = 24 321/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 24.642 Simplifies to 12321/500
24.642 = 24642/1000
The greatest common divisor of 24642 and 1000 is 2.
24642 ÷ 2 = 12321
1000 ÷ 2 = 500
Therefore, 24642/1000 = 12321/500.
As a mixed fraction, the value is 24 321/500.
24.642 as a Percentage
To convert 24.642 to a percentage, multiply it by 100.
24.642 × 100 = 2464.2
Therefore, 24.642 = 2464.2%.
Decimals Equivalent to 24.642
24.642 = 24.6420 = 24.64200
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 24.642 | thousandths | 24642/1000 | 12321/500 |
| 24.6420 | ten-thousandths | 246420/10000 | 12321/500 |
| 24.64200 | hundred-thousandths | 2464200/100000 | 12321/500 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 24 with the fractional part 642/1000. In place-value words, "and" marks that boundary.
24.642 on a Number Line
24.642 lies between 24 and 25. It is 0.358 below 25 and 0.642 above 24.
24.642 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 24.642 |
| 24.642 | twenty-four point six four two | twenty-four and six hundred forty-two thousandths | 12321/500 | 2464.2% | current value |
| 24.6420 | twenty-four point six four two zero | twenty-four and six thousand four hundred twenty ten-thousandths | 12321/500 | 2464.2% | same numerical value, written to the ten-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 24.642 |
Quick Practice
How is 24.642 read digit by digit?
Twenty-four point six four two.
What is the place-value word form of 24.642?
Twenty-four and six hundred forty-two thousandths.
What fraction is 24.642 in lowest terms?
12321/500.
What percentage is equal to 24.642?
2464.2%.
What is 24.642 as a mixed fraction?
24 321/500.
Between which whole numbers does 24.642 lie?
Between 24 and 25.
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Frequently Asked Questions
How do you write 24.642 in words?
24.642 in words is twenty-four point six four two.
Why is 24.642 called twenty-four and six hundred forty-two thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as twenty-four and six hundred forty-two thousandths.
What fraction is 24.642?
24.642 is 24642/1000 exactly and 12321/500 in lowest terms.
Can 24642/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 12321/500.
What percentage is 24.642?
24.642 is equal to 2464.2%.
Is 24.642 the same as 24.6420?
Yes. 24.642 and 24.6420 have the same numerical value. However, 24.642 is written to the thousandths place, while 24.6420 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 24.642 larger than 2.4642?
Yes. 24.642 is ten times as large as 2.4642.
What type of decimal is 24.642?
24.642 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents twenty-four and six hundred forty-two thousandths.