Number DigitDecimal in the billionths place
-0.083020002 in Words
-0.083020002 is a negative terminating decimal. It has 9 decimal places, and its final digit is in the billionths place.
Direct Answer
-0.083020002 in words is negative zero point zero eight three zero two zero zero zero two.
-0.083020002 Place-Value Breakdown
The first digit after the decimal point is 0, and the digit 8 is in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 3 | thousandth | 3/1000 |
| Decimal part | 0 | ten-thousandth | 0/10000 |
| Decimal part | 2 | hundred-thousandth | 2/100000 |
| Decimal part | 0 | millionth | 0/1000000 |
| Decimal part | 0 | ten-millionth | 0/10000000 |
| Decimal part | 0 | hundred-millionth | 0/100000000 |
| Decimal part | 2 | billionth | 2/1000000000 |
What Kind of Decimal Is -0.083020002?
-0.083020002 is a negative terminating decimal. It is written to the billionths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of -0.083020002
-0.083020002 = -(8/100 + 3/1000 + 2/100000 + 2/1000000000)
-0.083020002 = -(0 + 83020002/1000000000)
The final nonzero digit is in the billionths place, so its value is expressed with a denominator of 1000000000.
How -0.083020002 Simplifies to -41510001/500000000
-0.083020002 = -83020002/1000000000
The greatest common divisor of 83020002 and 1000000000 is 2.
-83020002 ÷ 2 = -41510001
1000000000 ÷ 2 = 500000000
Therefore, -83020002/1000000000 = -41510001/500000000.
-0.083020002 as a Percentage
To convert -0.083020002 to a percentage, multiply it by 100.
-0.083020002 × 100 = -8.3020002
Therefore, -0.083020002 = -8.3020002%.
Why the Zeros After the Point Matter
-0.083020002 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
How the Negative Sign Changes the Reading
Say "negative" once before the complete word form. The sign changes the direction and value, but it does not change the decimal places or the fraction-reduction steps.
-0.083020002 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.0083020002 | negative zero point zero zero eight three zero two zero zero zero two | negative eighty-three million twenty thousand two ten-billionths | -41510001/5000000000 | -0.83020002% | one tenth of -0.083020002 |
| -0.083020002 | negative zero point zero eight three zero two zero zero zero two | negative eighty-three million twenty thousand two billionths | -41510001/500000000 | -8.3020002% | current value |
| -0.0830200020 | negative zero point zero eight three zero two zero zero zero two zero | negative eight hundred thirty million two hundred thousand twenty ten-billionths | -41510001/500000000 | -8.3020002% | same numerical value, written to the ten-billionths place |
| -0.83020002 | negative zero point eight three zero two zero zero zero two | negative eighty-three million twenty thousand two hundred-millionths | -41510001/50000000 | -83.020002% | ten times -0.083020002 |
Quick Practice
How is -0.083020002 read digit by digit?
Negative zero point zero eight three zero two zero zero zero two.
What is the place-value word form of -0.083020002?
Negative eighty-three million twenty thousand two billionths.
What fraction is -0.083020002 in lowest terms?
-41510001/500000000.
What percentage is equal to -0.083020002?
-8.3020002%.
What is the absolute value of -0.083020002?
0.083020002.
Between which whole numbers does -0.083020002 lie?
Between -1 and 0.
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Frequently Asked Questions
How do you write -0.083020002 in words?
-0.083020002 in words is negative zero point zero eight three zero two zero zero zero two.
Why is -0.083020002 called negative eighty-three million twenty thousand two billionths?
There are 9 digits after the point, so the fractional part is expressed in billionths. Read the complete value as negative eighty-three million twenty thousand two billionths.
What fraction is -0.083020002?
-0.083020002 is -83020002/1000000000 exactly and -41510001/500000000 in lowest terms.
Can -83020002/1000000000 be simplified?
Yes. Divide its numerator and denominator by 2 to get -41510001/500000000.
What percentage is -0.083020002?
-0.083020002 is equal to -8.3020002%.
Is -0.083020002 the same as -0.0830200020?
Yes. -0.083020002 and -0.0830200020 have the same numerical value. However, -0.083020002 is written to the billionths place, while -0.0830200020 is written to the ten-billionths place and may communicate greater recorded precision.
Is -0.083020002 larger than -0.0083020002?
No. Negative values reverse the comparison; -0.083020002 is ten times the value of -0.0083020002.
What type of decimal is -0.083020002?
-0.083020002 is a negative terminating decimal. It is written to 9 decimal places and represents negative eighty-three million twenty thousand two billionths.