Number DigitDecimal in the thousandths place
42.458 in Words
42.458 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
42.458 in words is forty-two point four five eight.
42.458 Place-Value Breakdown
The digits 4 and 2 form the whole-number part, while 4 in the tenth place, 5 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 4 | tens | 40 |
| Whole part | 2 | ones | 2 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 5 | hundredth | 5/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 42.458?
42.458 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 42.458
42.458 = 40 + 2 + 4/10 + 5/100 + 8/1000
42.458 = 42 + 458/1000
42.458 = 42 229/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 42.458 Simplifies to 21229/500
42.458 = 42458/1000
The greatest common divisor of 42458 and 1000 is 2.
42458 ÷ 2 = 21229
1000 ÷ 2 = 500
Therefore, 42458/1000 = 21229/500.
As a mixed fraction, the value is 42 229/500.
42.458 as a Percentage
To convert 42.458 to a percentage, multiply it by 100.
42.458 × 100 = 4245.8
Therefore, 42.458 = 4245.8%.
Decimals Equivalent to 42.458
42.458 = 42.4580 = 42.45800
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 |
|---|---|---|---|
| 42.458 | thousandths | 42458/1000 | 21229/500 |
| 42.4580 | ten-thousandths | 424580/10000 | 21229/500 |
| 42.45800 | hundred-thousandths | 4245800/100000 | 21229/500 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 42 with the fractional part 458/1000. In place-value words, "and" marks that boundary.
42.458 on a Number Line
42.458 lies between 42 and 43. It is 0.542 below 43 and 0.458 above 42.
42.458 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 4.2458 | four point two four five eight | four and two thousand four hundred fifty-eight ten-thousandths | 21229/5000 | 424.58% | ten times smaller than 42.458 |
| 42.458 | forty-two point four five eight | forty-two and four hundred fifty-eight thousandths | 21229/500 | 4245.8% | current value |
| 42.4580 | forty-two point four five eight zero | forty-two and four thousand five hundred eighty ten-thousandths | 21229/500 | 4245.8% | same numerical value, written to the ten-thousandths place |
| 424.58 | four hundred twenty-four point five eight | four hundred twenty-four and fifty-eight hundredths | 21229/50 | 42458% | ten times larger than 42.458 |
Quick Practice
How is 42.458 read digit by digit?
Forty-two point four five eight.
What is the place-value word form of 42.458?
Forty-two and four hundred fifty-eight thousandths.
What fraction is 42.458 in lowest terms?
21229/500.
What percentage is equal to 42.458?
4245.8%.
What is 42.458 as a mixed fraction?
42 229/500.
Between which whole numbers does 42.458 lie?
Between 42 and 43.
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Frequently Asked Questions
How do you write 42.458 in words?
42.458 in words is forty-two point four five eight.
Why is 42.458 called forty-two and four hundred fifty-eight thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as forty-two and four hundred fifty-eight thousandths.
What fraction is 42.458?
42.458 is 42458/1000 exactly and 21229/500 in lowest terms.
Can 42458/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 21229/500.
What percentage is 42.458?
42.458 is equal to 4245.8%.
Is 42.458 the same as 42.4580?
Yes. 42.458 and 42.4580 have the same numerical value. However, 42.458 is written to the thousandths place, while 42.4580 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 42.458 larger than 4.2458?
Yes. 42.458 is ten times as large as 4.2458.
What type of decimal is 42.458?
42.458 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents forty-two and four hundred fifty-eight thousandths.