Decimal in the thousandths place
0.558 in Words
0.558 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.558 in words is zero point five five eight.
0.558 Place-Value Breakdown
The decimal digits place 5 in the tenth place, 5 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 5 | tenth | 5/10 |
| Decimal part | 5 | hundredth | 5/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.558?
0.558 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.558
0.558 = 5/10 + 5/100 + 8/1000
0.558 = 0 + 558/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.558 Simplifies to 279/500
0.558 = 558/1000
The greatest common divisor of 558 and 1000 is 2.
558 ÷ 2 = 279
1000 ÷ 2 = 500
Therefore, 558/1000 = 279/500.
0.558 as a Percentage
To convert 0.558 to a percentage, multiply it by 100.
0.558 × 100 = 55.8
Therefore, 0.558 = 55.8%.
Decimals Equivalent to 0.558
0.558 = 0.5580 = 0.55800
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 |
|---|---|---|---|
| 0.558 | thousandths | 558/1000 | 279/500 |
| 0.5580 | ten-thousandths | 5580/10000 | 279/500 |
| 0.55800 | hundred-thousandths | 55800/100000 | 279/500 |
Visual Model of 0.558
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.558 on a Number Line
0.558 lies between 0.557 and 0.559. It is 0.442 below 1 and 0.558 above 0.
On a number line from 0 to 1, it appears 55.8% of the way from 0 to 1.
How Far Is 0.558 from 1?
1 − 0.558 = 0.442
1 − 279/500 = 221/500
0.558 is four hundred forty-two thousandths below 1. The remaining part is 442/1000 = 221/500 = 44.2%.
0.558 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0558 | zero point zero five five eight | five hundred fifty-eight ten-thousandths | 279/5000 | 5.58% | ten times smaller than 0.558 |
| 0.558 | zero point five five eight | five hundred fifty-eight thousandths | 279/500 | 55.8% | current value |
| 0.5580 | zero point five five eight zero | five thousand five hundred eighty ten-thousandths | 279/500 | 55.8% | same numerical value, written to the ten-thousandths place |
| 5.58 | five point five eight | five and fifty-eight hundredths | 279/50 | 558% | ten times larger than 0.558 |
Quick Practice
How is 0.558 read digit by digit?
Zero point five five eight.
What is the place-value word form of 0.558?
Five hundred fifty-eight thousandths.
What fraction is 0.558 in lowest terms?
279/500.
What percentage is equal to 0.558?
55.8%.
Which is greater: 0.558 or 0.0558?
0.558 is ten times as large.
Is 0.558 equal to 0.5580?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.558 in words?
0.558 in words is zero point five five eight.
Why is 0.558 called five hundred fifty-eight thousandths?
Because the digit 5 is in the thousandths place. Therefore, 0.558 represents five hundred fifty-eight thousandths.
What fraction is 0.558?
0.558 is 558/1000 exactly and 279/500 in lowest terms.
Can 558/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 279/500.
What percentage is 0.558?
0.558 is equal to 55.8%.
Is 0.558 the same as 0.5580?
Yes. 0.558 and 0.5580 have the same numerical value. However, 0.558 is written to the thousandths place, while 0.5580 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.558 larger than 0.0558?
Yes. 0.558 is ten times as large as 0.0558.
What type of decimal is 0.558?
0.558 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents five hundred fifty-eight thousandths.