Number DigitDecimal in the thousandths place
42.524 in Words
42.524 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
42.524 in words is forty-two point five two four.
42.524 Place-Value Breakdown
The digits 4 and 2 form the whole-number part, while 5 in the tenth place, 2 in the hundredth place, and 4 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 4 | tens | 40 |
| Whole part | 2 | ones | 2 |
| Decimal part | 5 | tenth | 5/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 4 | thousandth | 4/1000 |
What Kind of Decimal Is 42.524?
42.524 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 42.524
42.524 = 40 + 2 + 5/10 + 2/100 + 4/1000
42.524 = 42 + 524/1000
42.524 = 42 131/250
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 42.524 Simplifies to 10631/250
42.524 = 42524/1000
The greatest common divisor of 42524 and 1000 is 4.
42524 ÷ 4 = 10631
1000 ÷ 4 = 250
Therefore, 42524/1000 = 10631/250.
As a mixed fraction, the value is 42 131/250.
42.524 as a Percentage
To convert 42.524 to a percentage, multiply it by 100.
42.524 × 100 = 4252.4
Therefore, 42.524 = 4252.4%.
Decimals Equivalent to 42.524
42.524 = 42.5240 = 42.52400
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 |
|---|---|---|---|
| 42.524 | thousandths | 42524/1000 | 10631/250 |
| 42.5240 | ten-thousandths | 425240/10000 | 10631/250 |
| 42.52400 | hundred-thousandths | 4252400/100000 | 10631/250 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 42 with the fractional part 524/1000. In place-value words, "and" marks that boundary.
42.524 on a Number Line
42.524 lies between 42 and 43. It is 0.476 below 43 and 0.524 above 42.
42.524 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 4.2524 | four point two five two four | four and two thousand five hundred twenty-four ten-thousandths | 10631/2500 | 425.24% | ten times smaller than 42.524 |
| 42.524 | forty-two point five two four | forty-two and five hundred twenty-four thousandths | 10631/250 | 4252.4% | current value |
| 42.5240 | forty-two point five two four zero | forty-two and five thousand two hundred forty ten-thousandths | 10631/250 | 4252.4% | same numerical value, written to the ten-thousandths place |
| 425.24 | four hundred twenty-five point two four | four hundred twenty-five and twenty-four hundredths | 10631/25 | 42524% | ten times larger than 42.524 |
Quick Practice
How is 42.524 read digit by digit?
Forty-two point five two four.
What is the place-value word form of 42.524?
Forty-two and five hundred twenty-four thousandths.
What fraction is 42.524 in lowest terms?
10631/250.
What percentage is equal to 42.524?
4252.4%.
What is 42.524 as a mixed fraction?
42 131/250.
Between which whole numbers does 42.524 lie?
Between 42 and 43.
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Frequently Asked Questions
How do you write 42.524 in words?
42.524 in words is forty-two point five two four.
Why is 42.524 called forty-two and five hundred twenty-four thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as forty-two and five hundred twenty-four thousandths.
What fraction is 42.524?
42.524 is 42524/1000 exactly and 10631/250 in lowest terms.
Can 42524/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 10631/250.
What percentage is 42.524?
42.524 is equal to 4252.4%.
Is 42.524 the same as 42.5240?
Yes. 42.524 and 42.5240 have the same numerical value. However, 42.524 is written to the thousandths place, while 42.5240 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 42.524 larger than 4.2524?
Yes. 42.524 is ten times as large as 4.2524.
What type of decimal is 42.524?
42.524 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents forty-two and five hundred twenty-four thousandths.