Number DigitDecimal in the hundred-thousandths place
-0.83020 in Words
-0.83020 is a negative terminating decimal. It has 5 decimal places, and its final digit is in the hundred-thousandths place.
Direct Answer
-0.83020 in words is negative zero point eight three zero two zero.
-0.83020 has the same numerical value as -0.8302, but it is written to the hundred-thousandths place.
-0.83020 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, and 0 in the hundred-thousandth 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 |
What Kind of Decimal Is -0.83020?
-0.83020 is a negative terminating decimal. It is written to the hundred-thousandths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of -0.83020
-0.83020 = -(8/10 + 3/100 + 2/10000)
-0.83020 = -(0 + 83020/100000)
-0.83020 = -83020/100000
The nonzero terms determine the numerical value, while the trailing zero preserves the written hundred-thousandths precision.
How -0.83020 Simplifies to -4151/5000
-0.83020 = -83020/100000
The greatest common divisor of 83020 and 100000 is 20.
-83020 ÷ 20 = -4151
100000 ÷ 20 = 5000
Therefore, -83020/100000 = -4151/5000.
-0.83020 as a Percentage
To convert -0.83020 to a percentage, multiply it by 100.
-0.83020 × 100 = -83.02
Therefore, -0.83020 = -83.02%.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that -0.83020 was written to the hundred-thousandths 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.
-0.83020 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.08302 | negative zero point zero eight three zero two | negative eight thousand three hundred two hundred-thousandths | -4151/50000 | -8.302% | one tenth of -0.83020 |
| -0.8302 | negative zero point eight three zero two | negative eight thousand three hundred two ten-thousandths | -4151/5000 | -83.02% | same numerical value, fewer written decimal places |
| -0.83020 | negative zero point eight three zero two zero | negative eighty-three thousand twenty hundred-thousandths | -4151/5000 | -83.02% | current value |
| -0.830200 | negative zero point eight three zero two zero zero | negative eight hundred thirty thousand two hundred millionths | -4151/5000 | -83.02% | same numerical value, written to the millionths place |
| -8.302 | negative eight point three zero two | negative eight and three hundred two thousandths | -4151/500 | -830.2% | ten times -0.83020 |
Quick Practice
How is -0.83020 read digit by digit?
Negative zero point eight three zero two zero.
What is the place-value word form of -0.83020?
Negative eighty-three thousand twenty hundred-thousandths.
What fraction is -0.83020 in lowest terms?
-4151/5000.
What percentage is equal to -0.83020?
-83.02%.
What is the absolute value of -0.83020?
0.83020.
Between which whole numbers does -0.83020 lie?
Between -1 and 0.
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Frequently Asked Questions
How do you write -0.83020 in words?
-0.83020 in words is negative zero point eight three zero two zero.
Why is -0.83020 called negative eighty-three thousand twenty hundred-thousandths?
There are 5 digits after the point, so the fractional part is expressed in hundred-thousandths. Read the complete value as negative eighty-three thousand twenty hundred-thousandths.
What fraction is -0.83020?
-0.83020 is -83020/100000 exactly and -4151/5000 in lowest terms.
Can -83020/100000 be simplified?
Yes. Divide its numerator and denominator by 20 to get -4151/5000.
What percentage is -0.83020?
-0.83020 is equal to -83.02%.
Is -0.83020 the same as -0.830200?
Yes. -0.83020 and -0.830200 have the same numerical value. However, -0.83020 is written to the hundred-thousandths place, while -0.830200 is written to the millionths place and may communicate greater recorded precision.
Is -0.83020 larger than -0.08302?
No. Negative values reverse the comparison; -0.83020 is ten times the value of -0.08302.
What type of decimal is -0.83020?
-0.83020 is a negative terminating decimal. It is written to 5 decimal places and represents negative eighty-three thousand twenty hundred-thousandths.