Number DigitDecimal in the hundred-millionths place
-0.83020020 in Words
-0.83020020 is a negative terminating decimal. It has 8 decimal places, and its final digit is in the hundred-millionths place.
Direct Answer
-0.83020020 in words is negative zero point eight three zero two zero zero two zero.
-0.83020020 has the same numerical value as -0.8302002, but it is written to the hundred-millionths place.
-0.83020020 Place-Value Breakdown
The decimal digits place 8 in the tenth place, 3 in the hundredth place, 0 in the thousandth place, 2 in the ten-thousandth place, 0 in the hundred-thousandth place, 0 in the millionth place, 2 in the ten-millionth place, and 0 in the hundred-millionth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 8 | tenth | 8/10 |
| Decimal part | 3 | hundredth | 3/100 |
| Decimal part | 0 | thousandth | 0/1000 |
| Decimal part | 2 | ten-thousandth | 2/10000 |
| Decimal part | 0 | hundred-thousandth | 0/100000 |
| Decimal part | 0 | millionth | 0/1000000 |
| Decimal part | 2 | ten-millionth | 2/10000000 |
| Decimal part | 0 | hundred-millionth | 0/100000000 |
What Kind of Decimal Is -0.83020020?
-0.83020020 is a negative terminating decimal. It is written to the hundred-millionths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of -0.83020020
-0.83020020 = -(8/10 + 3/100 + 2/10000 + 2/10000000)
-0.83020020 = -(0 + 83020020/100000000)
-0.83020020 = -83020020/100000000
The nonzero terms determine the numerical value, while the trailing zero preserves the written hundred-millionths precision.
How -0.83020020 Simplifies to -4151001/5000000
-0.83020020 = -83020020/100000000
The greatest common divisor of 83020020 and 100000000 is 20.
-83020020 ÷ 20 = -4151001
100000000 ÷ 20 = 5000000
Therefore, -83020020/100000000 = -4151001/5000000.
-0.83020020 as a Percentage
To convert -0.83020020 to a percentage, multiply it by 100.
-0.83020020 × 100 = -83.02002
Therefore, -0.83020020 = -83.02002%.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that -0.83020020 was written to the hundred-millionths place.
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.
-0.83020020 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.08302002 | negative zero point zero eight three zero two zero zero two | negative eight million three hundred two thousand two hundred-millionths | -4151001/50000000 | -8.302002% | one tenth of -0.83020020 |
| -0.8302002 | negative zero point eight three zero two zero zero two | negative eight million three hundred two thousand two ten-millionths | -4151001/5000000 | -83.02002% | same numerical value, fewer written decimal places |
| -0.83020020 | negative zero point eight three zero two zero zero two zero | negative eighty-three million twenty thousand twenty hundred-millionths | -4151001/5000000 | -83.02002% | current value |
| -0.830200200 | negative zero point eight three zero two zero zero two zero zero | negative eight hundred thirty million two hundred thousand two hundred billionths | -4151001/5000000 | -83.02002% | same numerical value, written to the billionths place |
| -8.302002 | negative eight point three zero two zero zero two | negative eight and three hundred two thousand two millionths | -4151001/500000 | -830.2002% | ten times -0.83020020 |
Quick Practice
How is -0.83020020 read digit by digit?
Negative zero point eight three zero two zero zero two zero.
What is the place-value word form of -0.83020020?
Negative eighty-three million twenty thousand twenty hundred-millionths.
What fraction is -0.83020020 in lowest terms?
-4151001/5000000.
What percentage is equal to -0.83020020?
-83.02002%.
What is the absolute value of -0.83020020?
0.83020020.
Between which whole numbers does -0.83020020 lie?
Between -1 and 0.
Convert Another Decimal
Use the full converter for custom input, examples, and the complete place-name chart.
Ready for a lesson or a little practice
Printable decimal worksheets
Each free PDF contains eight questions. Download a separate answer key with explanations. No account is required.
Frequently Asked Questions
How do you write -0.83020020 in words?
-0.83020020 in words is negative zero point eight three zero two zero zero two zero.
Why is -0.83020020 called negative eighty-three million twenty thousand twenty hundred-millionths?
There are 8 digits after the point, so the fractional part is expressed in hundred-millionths. Read the complete value as negative eighty-three million twenty thousand twenty hundred-millionths.
What fraction is -0.83020020?
-0.83020020 is -83020020/100000000 exactly and -4151001/5000000 in lowest terms.
Can -83020020/100000000 be simplified?
Yes. Divide its numerator and denominator by 20 to get -4151001/5000000.
What percentage is -0.83020020?
-0.83020020 is equal to -83.02002%.
Is -0.83020020 the same as -0.830200200?
Yes. -0.83020020 and -0.830200200 have the same numerical value. However, -0.83020020 is written to the hundred-millionths place, while -0.830200200 is written to the billionths place and may communicate greater recorded precision.
Is -0.83020020 larger than -0.08302002?
No. Negative values reverse the comparison; -0.83020020 is ten times the value of -0.08302002.
What type of decimal is -0.83020020?
-0.83020020 is a negative terminating decimal. It is written to 8 decimal places and represents negative eighty-three million twenty thousand twenty hundred-millionths.