Why the Zeros After the Point Matter
0.058 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
Decimal in the thousandths place
0.058 in Words
0.058 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.058 in words is zero point zero five eight.
0.058 Place-Value Breakdown
The first digit after the decimal point is 0, and the digit 5 is in the thousandths place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 5 | hundredth | 5/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.058?
0.058 is a positive terminating decimal less than 1. It is written to the thousandths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of 0.058
0.058 = 5/100 + 8/1000
0.058 = 0 + 58/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.058 Simplifies to 29/500
0.058 = 58/1000
The greatest common divisor of 58 and 1000 is 2.
58 ÷ 2 = 29
1000 ÷ 2 = 500
Therefore, 58/1000 = 29/500.
0.058 as a Percentage
To convert 0.058 to a percentage, multiply it by 100.
0.058 × 100 = 5.8
Therefore, 0.058 = 5.8%.
Decimals Equivalent to 0.058
0.058 = 0.0580 = 0.05800
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 |
|---|---|---|---|
| 0.058 | thousandths | 58/1000 | 29/500 |
| 0.0580 | ten-thousandths | 580/10000 | 29/500 |
| 0.05800 | hundred-thousandths | 5800/100000 | 29/500 |
Visual Model of 0.058
58thousandths
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.058 on a Number Line
0.058 lies between 0.057 and 0.059. It is 0.942 below 1 and 0.058 above 0.
On a number line from 0 to 1, it appears 5.8% of the way from 0 to 1.
00.0581
How Far Is 0.058 from 1?
1 − 0.058 = 0.942
1 − 29/500 = 471/500
0.058 is nine hundred forty-two thousandths below 1. The remaining part is 942/1000 = 471/500 = 94.2%.
0.058 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0058 | zero point zero zero five eight | fifty-eight ten-thousandths | 29/5000 | 0.58% | ten times smaller than 0.058 |
| 0.058 | zero point zero five eight | fifty-eight thousandths | 29/500 | 5.8% | current value |
| 0.0580 | zero point zero five eight zero | five hundred eighty ten-thousandths | 29/500 | 5.8% | same numerical value, written to the ten-thousandths place |
| 0.58 | zero point five eight | fifty-eight hundredths | 29/50 | 58% | ten times larger than 0.058 |
Quick Practice
How is 0.058 read digit by digit?
Zero point zero five eight.
What is the place-value word form of 0.058?
Fifty-eight thousandths.
What fraction is 0.058 in lowest terms?
29/500.
What percentage is equal to 0.058?
5.8%.
Why must the zero after the decimal point be read?
It holds an empty place before the first nonzero digit and fixes the value in the thousandths place.
Which is greater: 0.058 or 0.58?
0.58 is ten times as large.
Frequently Asked Questions
How do you write 0.058 in words?
0.058 in words is zero point zero five eight.
Why is 0.058 called fifty-eight thousandths?
Because the digit 5 is in the thousandths place. Therefore, 0.058 represents fifty-eight thousandths.
What fraction is 0.058?
0.058 is 58/1000 exactly and 29/500 in lowest terms.
Can 58/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 29/500.
What percentage is 0.058?
0.058 is equal to 5.8%.
Is 0.058 the same as 0.0580?
Yes. 0.058 and 0.0580 have the same numerical value. However, 0.058 is written to the thousandths place, while 0.0580 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.058 larger than 0.0058?
Yes. 0.058 is ten times as large as 0.0058.
What type of decimal is 0.058?
0.058 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents fifty-eight thousandths.