Decimal in the thousandths place
0.498 in Words
0.498 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.498 in words is zero point four nine eight.
0.498 Place-Value Breakdown
The decimal digits place 4 in the tenth place, 9 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 4 | tenth | 4/10 |
| Decimal part | 9 | hundredth | 9/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.498?
0.498 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.498
0.498 = 4/10 + 9/100 + 8/1000
0.498 = 0 + 498/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.498 Simplifies to 249/500
0.498 = 498/1000
The greatest common divisor of 498 and 1000 is 2.
498 ÷ 2 = 249
1000 ÷ 2 = 500
Therefore, 498/1000 = 249/500.
0.498 as a Percentage
To convert 0.498 to a percentage, multiply it by 100.
0.498 × 100 = 49.8
Therefore, 0.498 = 49.8%.
Decimals Equivalent to 0.498
0.498 = 0.4980 = 0.49800
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 |
|---|---|---|---|
| 0.498 | thousandths | 498/1000 | 249/500 |
| 0.4980 | ten-thousandths | 4980/10000 | 249/500 |
| 0.49800 | hundred-thousandths | 49800/100000 | 249/500 |
Visual Model of 0.498
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.498 on a Number Line
0.498 lies between 0.497 and 0.499. It is 0.502 below 1 and 0.498 above 0.
On a number line from 0 to 1, it appears 49.8% of the way from 0 to 1.
How Far Is 0.498 from 1?
1 − 0.498 = 0.502
1 − 249/500 = 251/500
0.498 is five hundred two thousandths below 1. The remaining part is 502/1000 = 251/500 = 50.2%.
0.498 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0498 | zero point zero four nine eight | four hundred ninety-eight ten-thousandths | 249/5000 | 4.98% | ten times smaller than 0.498 |
| 0.498 | zero point four nine eight | four hundred ninety-eight thousandths | 249/500 | 49.8% | current value |
| 0.4980 | zero point four nine eight zero | four thousand nine hundred eighty ten-thousandths | 249/500 | 49.8% | same numerical value, written to the ten-thousandths place |
| 4.98 | four point nine eight | four and ninety-eight hundredths | 249/50 | 498% | ten times larger than 0.498 |
Quick Practice
How is 0.498 read digit by digit?
Zero point four nine eight.
What is the place-value word form of 0.498?
Four hundred ninety-eight thousandths.
What fraction is 0.498 in lowest terms?
249/500.
What percentage is equal to 0.498?
49.8%.
Which is greater: 0.498 or 0.0498?
0.498 is ten times as large.
Is 0.498 equal to 0.4980?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.498 in words?
0.498 in words is zero point four nine eight.
Why is 0.498 called four hundred ninety-eight thousandths?
Because the digit 4 is in the thousandths place. Therefore, 0.498 represents four hundred ninety-eight thousandths.
What fraction is 0.498?
0.498 is 498/1000 exactly and 249/500 in lowest terms.
Can 498/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 249/500.
What percentage is 0.498?
0.498 is equal to 49.8%.
Is 0.498 the same as 0.4980?
Yes. 0.498 and 0.4980 have the same numerical value. However, 0.498 is written to the thousandths place, while 0.4980 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.498 larger than 0.0498?
Yes. 0.498 is ten times as large as 0.0498.
What type of decimal is 0.498?
0.498 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents four hundred ninety-eight thousandths.