Number DigitDecimal in the hundred-thousandths place
-0.83021 in Words
-0.83021 is a negative terminating decimal. It has 5 decimal places, and its final digit is in the hundred-thousandths place.
Direct Answer
-0.83021 in words is negative zero point eight three zero two one.
-0.83021 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 1 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 | 1 | hundred-thousandth | 1/100000 |
What Kind of Decimal Is -0.83021?
-0.83021 is a negative terminating decimal. It is written to the hundred-thousandths place.
Expanded Form of -0.83021
-0.83021 = -(8/10 + 3/100 + 2/10000 + 1/100000)
-0.83021 = -(0 + 83021/100000)
The final nonzero digit is in the hundred-thousandths place, so its value is expressed with a denominator of 100000.
Why -83021/100000 Is Already in Lowest Terms
There are 5 decimal places, so the exact fraction is -83021/100000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
-0.83021 as a Percentage
To convert -0.83021 to a percentage, multiply it by 100.
-0.83021 × 100 = -83.021
Therefore, -0.83021 = -83.021%.
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.
-0.83021 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.083021 | negative zero point zero eight three zero two one | negative eighty-three thousand twenty-one millionths | -83021/1000000 | -8.3021% | one tenth of -0.83021 |
| -0.83021 | negative zero point eight three zero two one | negative eighty-three thousand twenty-one hundred-thousandths | -83021/100000 | -83.021% | current value |
| -0.830210 | negative zero point eight three zero two one zero | negative eight hundred thirty thousand two hundred ten millionths | -83021/100000 | -83.021% | same numerical value, written to the millionths place |
| -8.3021 | negative eight point three zero two one | negative eight and three thousand twenty-one ten-thousandths | -83021/10000 | -830.21% | ten times -0.83021 |
Quick Practice
How is -0.83021 read digit by digit?
Negative zero point eight three zero two one.
What is the place-value word form of -0.83021?
Negative eighty-three thousand twenty-one hundred-thousandths.
What fraction is -0.83021 in lowest terms?
-83021/100000.
What percentage is equal to -0.83021?
-83.021%.
What is the absolute value of -0.83021?
0.83021.
Between which whole numbers does -0.83021 lie?
Between -1 and 0.
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Frequently Asked Questions
How do you write -0.83021 in words?
-0.83021 in words is negative zero point eight three zero two one.
Why is -0.83021 called negative eighty-three thousand twenty-one 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-one hundred-thousandths.
What fraction is -0.83021?
-0.83021 is -83021/100000 exactly and -83021/100000 in lowest terms.
Is -83021/100000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is -0.83021?
-0.83021 is equal to -83.021%.
Is -0.83021 the same as -0.830210?
Yes. -0.83021 and -0.830210 have the same numerical value. However, -0.83021 is written to the hundred-thousandths place, while -0.830210 is written to the millionths place and may communicate greater recorded precision.
Is -0.83021 larger than -0.083021?
No. Negative values reverse the comparison; -0.83021 is ten times the value of -0.083021.
What type of decimal is -0.83021?
-0.83021 is a negative terminating decimal. It is written to 5 decimal places and represents negative eighty-three thousand twenty-one hundred-thousandths.