Number DigitDecimal in the ten-billionths place
0.9999999998 in Words
0.9999999998 is a positive terminating decimal less than 1. It has 10 decimal places, and its final digit is in the ten-billionths place.
Direct Answer
0.9999999998 in words is zero point nine nine nine nine nine nine nine nine nine eight.
0.9999999998 Place-Value Breakdown
The decimal digits place 9 in the tenth place, 9 in the hundredth place, 9 in the thousandth place, 9 in the ten-thousandth place, 9 in the hundred-thousandth place, 9 in the millionth place, 9 in the ten-millionth place, 9 in the hundred-millionth place, 9 in the billionth place, and 8 in the ten-billionth 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 | 9 | thousandth | 9/1000 |
| Decimal part | 9 | ten-thousandth | 9/10000 |
| Decimal part | 9 | hundred-thousandth | 9/100000 |
| Decimal part | 9 | millionth | 9/1000000 |
| Decimal part | 9 | ten-millionth | 9/10000000 |
| Decimal part | 9 | hundred-millionth | 9/100000000 |
| Decimal part | 9 | billionth | 9/1000000000 |
| Decimal part | 8 | ten-billionth | 8/10000000000 |
What Kind of Decimal Is 0.9999999998?
0.9999999998 is a positive terminating decimal less than 1. It is written to the ten-billionths place.
Expanded Form of 0.9999999998
0.9999999998 = 9/10 + 9/100 + 9/1000 + 9/10000 + 9/100000 + 9/1000000 + 9/10000000 + 9/100000000 + 9/1000000000 + 8/10000000000
0.9999999998 = 0 + 9999999998/10000000000
The final nonzero digit is in the ten-billionths place, so its value is expressed with a denominator of 10000000000.
How 0.9999999998 Simplifies to 4999999999/5000000000
0.9999999998 = 9999999998/10000000000
The greatest common divisor of 9999999998 and 10000000000 is 2.
9999999998 ÷ 2 = 4999999999
10000000000 ÷ 2 = 5000000000
Therefore, 9999999998/10000000000 = 4999999999/5000000000.
0.9999999998 as a Percentage
To convert 0.9999999998 to a percentage, multiply it by 100.
0.9999999998 × 100 = 99.99999998
Therefore, 0.9999999998 = 99.99999998%.
How Far Is 0.9999999998 from 1?
1 − 0.9999999998 = 0.0000000002
1 − 4999999999/5000000000 = 1/5000000000
0.9999999998 is two ten-billionths below 1. The remaining part is 2/10000000000 = 1/5000000000 = 0.00000002%.
0.9999999998 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.09999999998 | zero point zero nine nine nine nine nine nine nine nine nine eight | nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-eight hundred-billionths | 4999999999/50000000000 | 9.999999998% | ten times smaller than 0.9999999998 |
| 0.9999999998 | zero point nine nine nine nine nine nine nine nine nine eight | nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-eight ten-billionths | 4999999999/5000000000 | 99.99999998% | current value |
| 0.99999999980 | zero point nine nine nine nine nine nine nine nine nine eight zero | ninety-nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred eighty hundred-billionths | 4999999999/5000000000 | 99.99999998% | same numerical value, written to the hundred-billionths place |
| 9.999999998 | nine point nine nine nine nine nine nine nine nine eight | nine and nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-eight billionths | 4999999999/500000000 | 999.9999998% | ten times larger than 0.9999999998 |
Quick Practice
How is 0.9999999998 read digit by digit?
Zero point nine nine nine nine nine nine nine nine nine eight.
What is the place-value word form of 0.9999999998?
Nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-eight ten-billionths.
What fraction is 0.9999999998 in lowest terms?
4999999999/5000000000.
What percentage is equal to 0.9999999998?
99.99999998%.
Which is greater: 0.9999999998 or 0.09999999998?
0.9999999998 is ten times as large.
Is 0.9999999998 equal to 0.99999999980?
Yes. The added trailing zero changes written precision, not numerical value.
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Frequently Asked Questions
How do you write 0.9999999998 in words?
0.9999999998 in words is zero point nine nine nine nine nine nine nine nine nine eight.
Why is 0.9999999998 called nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-eight ten-billionths?
There are 10 digits after the point, so the fractional part is expressed in ten-billionths. Read the complete value as nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-eight ten-billionths.
What fraction is 0.9999999998?
0.9999999998 is 9999999998/10000000000 exactly and 4999999999/5000000000 in lowest terms.
Can 9999999998/10000000000 be simplified?
Yes. Divide its numerator and denominator by 2 to get 4999999999/5000000000.
What percentage is 0.9999999998?
0.9999999998 is equal to 99.99999998%.
Is 0.9999999998 the same as 0.99999999980?
Yes. 0.9999999998 and 0.99999999980 have the same numerical value. However, 0.9999999998 is written to the ten-billionths place, while 0.99999999980 is written to the hundred-billionths place and may communicate greater recorded precision.
Is 0.9999999998 larger than 0.09999999998?
Yes. 0.9999999998 is ten times as large as 0.09999999998.
What type of decimal is 0.9999999998?
0.9999999998 is a positive terminating decimal less than 1. It is written to 10 decimal places and represents nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-eight ten-billionths.