Number DigitDecimal in the thousandths place
-83.021 in Words
-83.021 is a negative terminating decimal. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
-83.021 in words is negative eighty-three point zero two one.
-83.021 Place-Value Breakdown
The digits 8 and 3 form the whole-number part, while 0 in the tenth place, 2 in the hundredth place, and 1 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 8 | tens | 80 |
| Whole part | 3 | ones | 3 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 2 | hundredth | 2/100 |
| Decimal part | 1 | thousandth | 1/1000 |
What Kind of Decimal Is -83.021?
-83.021 is a negative terminating decimal. It is written to the thousandths place.
Leading-zero pattern: 1 placeholder zero appears before the first nonzero decimal digit. Those zeros determine the final place value.
Expanded Form of -83.021
-83.021 = -(80 + 3 + 2/100 + 1/1000)
-83.021 = -(83 + 21/1000)
-83.021 = -83 21/1000
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
Why -83021/1000 Is Already in Lowest Terms
There are 3 decimal places, so the exact fraction is -83021/1000.
The greatest common divisor of its numerator and denominator is 1, so the fraction cannot be reduced further.
As a mixed fraction, the value is -83 21/1000.
-83.021 as a Percentage
To convert -83.021 to a percentage, multiply it by 100.
-83.021 × 100 = -8302.1
Therefore, -83.021 = -8302.1%.
Why the Zeros After the Point Matter
-83.021 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
Whole Part and Fractional Part
This mixed decimal combines the whole part 83 with the fractional part 21/1000. In place-value words, "and" marks that boundary.
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.
-83.021 on a Number Line
-83.021 lies between -84 and -83. It is 0.979 above -84 and 0.021 below -83.
-83.021 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -8.3021 | negative eight point three zero two one | negative eight and three thousand twenty-one ten-thousandths | -83021/10000 | -830.21% | one tenth of -83.021 |
| -83.021 | negative eighty-three point zero two one | negative eighty-three and twenty-one thousandths | -83021/1000 | -8302.1% | current value |
| -83.0210 | negative eighty-three point zero two one zero | negative eighty-three and two hundred ten ten-thousandths | -83021/1000 | -8302.1% | same numerical value, written to the ten-thousandths place |
| -830.21 | negative eight hundred thirty point two one | negative eight hundred thirty and twenty-one hundredths | -83021/100 | -83021% | ten times -83.021 |
Quick Practice
How is -83.021 read digit by digit?
Negative eighty-three point zero two one.
What is the place-value word form of -83.021?
Negative eighty-three and twenty-one thousandths.
What fraction is -83.021 in lowest terms?
-83021/1000.
What percentage is equal to -83.021?
-8302.1%.
What is the absolute value of -83.021?
83.021.
Between which whole numbers does -83.021 lie?
Between -84 and -83.
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Frequently Asked Questions
How do you write -83.021 in words?
-83.021 in words is negative eighty-three point zero two one.
Why is -83.021 called negative eighty-three and twenty-one thousandths?
There are 3 digits after the point, so the fractional part is expressed in thousandths. Read the complete value as negative eighty-three and twenty-one thousandths.
What fraction is -83.021?
-83.021 is -83021/1000 exactly and -83021/1000 in lowest terms.
Is -83021/1000 already in lowest terms?
Yes. Its numerator and denominator have a greatest common divisor of 1.
What percentage is -83.021?
-83.021 is equal to -8302.1%.
Is -83.021 the same as -83.0210?
Yes. -83.021 and -83.0210 have the same numerical value. However, -83.021 is written to the thousandths place, while -83.0210 is written to the ten-thousandths place and may communicate greater recorded precision.
Is -83.021 larger than -8.3021?
No. Negative values reverse the comparison; -83.021 is ten times the value of -8.3021.
What type of decimal is -83.021?
-83.021 is a negative terminating decimal. It is written to 3 decimal places and represents negative eighty-three and twenty-one thousandths.