Decimal in the thousandths place
0.998 in Words
0.998 is a positive terminating decimal less than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
0.998 in words is zero point nine nine eight.
0.998 Place-Value Breakdown
The decimal digits place 9 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 | 9 | tenth | 9/10 |
| Decimal part | 9 | hundredth | 9/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 0.998?
0.998 is a positive terminating decimal less than 1. It is written to the thousandths place.
Expanded Form of 0.998
0.998 = 9/10 + 9/100 + 8/1000
0.998 = 0 + 998/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 0.998 Simplifies to 499/500
0.998 = 998/1000
The greatest common divisor of 998 and 1000 is 2.
998 ÷ 2 = 499
1000 ÷ 2 = 500
Therefore, 998/1000 = 499/500.
0.998 as a Percentage
To convert 0.998 to a percentage, multiply it by 100.
0.998 × 100 = 99.8
Therefore, 0.998 = 99.8%.
Decimals Equivalent to 0.998
0.998 = 0.9980 = 0.99800
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 |
|---|---|---|---|
| 0.998 | thousandths | 998/1000 | 499/500 |
| 0.9980 | ten-thousandths | 9980/10000 | 499/500 |
| 0.99800 | hundred-thousandths | 99800/100000 | 499/500 |
Visual Model of 0.998
A 1000-part grid would be too dense at small screen sizes, so this symbolic model keeps the place-value relationship readable.
0.998 on a Number Line
0.998 lies between 0.997 and 0.999. It is 0.002 below 1 and 0.998 above 0.
On a number line from 0 to 1, it appears 99.8% of the way from 0 to 1.
How Far Is 0.998 from 1?
1 − 0.998 = 0.002
1 − 499/500 = 1/500
0.998 is two thousandths below 1. The remaining part is 2/1000 = 1/500 = 0.2%.
0.998 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.0998 | zero point zero nine nine eight | nine hundred ninety-eight ten-thousandths | 499/5000 | 9.98% | ten times smaller than 0.998 |
| 0.998 | zero point nine nine eight | nine hundred ninety-eight thousandths | 499/500 | 99.8% | current value |
| 0.9980 | zero point nine nine eight zero | nine thousand nine hundred eighty ten-thousandths | 499/500 | 99.8% | same numerical value, written to the ten-thousandths place |
| 9.98 | nine point nine eight | nine and ninety-eight hundredths | 499/50 | 998% | ten times larger than 0.998 |
Quick Practice
How is 0.998 read digit by digit?
Zero point nine nine eight.
What is the place-value word form of 0.998?
Nine hundred ninety-eight thousandths.
What fraction is 0.998 in lowest terms?
499/500.
What percentage is equal to 0.998?
99.8%.
Which is greater: 0.998 or 0.0998?
0.998 is ten times as large.
Is 0.998 equal to 0.9980?
Yes. The added trailing zero changes written precision, not numerical value.
Frequently Asked Questions
How do you write 0.998 in words?
0.998 in words is zero point nine nine eight.
Why is 0.998 called nine hundred ninety-eight thousandths?
Because the digit 9 is in the thousandths place. Therefore, 0.998 represents nine hundred ninety-eight thousandths.
What fraction is 0.998?
0.998 is 998/1000 exactly and 499/500 in lowest terms.
Can 998/1000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 499/500.
What percentage is 0.998?
0.998 is equal to 99.8%.
Is 0.998 the same as 0.9980?
Yes. 0.998 and 0.9980 have the same numerical value. However, 0.998 is written to the thousandths place, while 0.9980 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 0.998 larger than 0.0998?
Yes. 0.998 is ten times as large as 0.0998.
What type of decimal is 0.998?
0.998 is a positive terminating decimal less than 1. It is written to 3 decimal places and represents nine hundred ninety-eight thousandths.