Why the Zeros After the Point Matter
1.058 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
1.058 in Words
1.058 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.058 in words is one point zero five eight.
1.058 Place-Value Breakdown
The digits 1 form the whole-number part, while 0 in the tenth place, 5 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 5 | hundredth | 5/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 1.058?
1.058 is a positive terminating decimal greater 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 1.058
1.058 = 1 + 5/100 + 8/1000
1.058 = 1 + 58/1000
1.058 = 1 29/500
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.058 Simplifies to 529/500
1.058 = 1058/1000
The greatest common divisor of 1058 and 1000 is 2.
1058 ÷ 2 = 529
1000 ÷ 2 = 500
Therefore, 1058/1000 = 529/500.
As a mixed fraction, the value is 1 29/500.
1.058 as a Percentage
To convert 1.058 to a percentage, multiply it by 100.
1.058 × 100 = 105.8
Therefore, 1.058 = 105.8%.
Decimals Equivalent to 1.058
1.058 = 1.0580 = 1.05800
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 |
|---|---|---|---|
| 1.058 | thousandths | 1058/1000 | 529/500 |
| 1.0580 | ten-thousandths | 10580/10000 | 529/500 |
| 1.05800 | hundred-thousandths | 105800/100000 | 529/500 |
Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 58/1000. In place-value words, "and" marks that boundary.
1.058 on a Number Line
1.058 lies between 1 and 2. It is 0.942 below 2 and 0.058 above 1.
11.0582
1.058 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1058 | zero point one zero five eight | one thousand fifty-eight ten-thousandths | 529/5000 | 10.58% | ten times smaller than 1.058 |
| 1.058 | one point zero five eight | one and fifty-eight thousandths | 529/500 | 105.8% | current value |
| 1.0580 | one point zero five eight zero | one and five hundred eighty ten-thousandths | 529/500 | 105.8% | same numerical value, written to the ten-thousandths place |
| 10.58 | ten point five eight | ten and fifty-eight hundredths | 529/50 | 1058% | ten times larger than 1.058 |
Quick Practice
How is 1.058 read digit by digit?
One point zero five eight.
What is the place-value word form of 1.058?
One and fifty-eight thousandths.
What fraction is 1.058 in lowest terms?
529/500.
What percentage is equal to 1.058?
105.8%.
What is 1.058 as a mixed fraction?
1 29/500.
Between which whole numbers does 1.058 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.058 in words?
1.058 in words is one point zero five eight.
Why is 1.058 called one and fifty-eight thousandths?
Because the digit 5 is in the thousandths place. Therefore, 1.058 represents one and fifty-eight thousandths.
What fraction is 1.058?
1.058 is 1058/1000 exactly and 529/500 in lowest terms.
Can 1058/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 529/500.
What percentage is 1.058?
1.058 is equal to 105.8%.
Is 1.058 the same as 1.0580?
Yes. 1.058 and 1.0580 have the same numerical value. However, 1.058 is written to the thousandths place, while 1.0580 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.058 larger than 0.1058?
Yes. 1.058 is ten times as large as 0.1058.
What type of decimal is 1.058?
1.058 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and fifty-eight thousandths.