Number DigitDecimal in the ten-thousandths place
-0.8980 in Words
-0.8980 is a negative terminating decimal. It has 4 decimal places, and its final digit is in the ten-thousandths place.
Direct Answer
-0.8980 in words is negative zero point eight nine eight zero.
-0.8980 has the same numerical value as -0.898, but it is written to the ten-thousandths place.
-0.8980 Place-Value Breakdown
The decimal digits place 8 in the tenth place, 9 in the hundredth place, 8 in the thousandth place, and 0 in the ten-thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 8 | tenth | 8/10 |
| Decimal part | 9 | hundredth | 9/100 |
| Decimal part | 8 | thousandth | 8/1000 |
| Decimal part | 0 | ten-thousandth | 0/10000 |
What Kind of Decimal Is -0.8980?
-0.8980 is a negative terminating decimal. It is written to the ten-thousandths place.
Written precision: the final 1 zero records precision even though removing it does not change the numerical value.
Expanded Form of -0.8980
-0.8980 = -(8/10 + 9/100 + 8/1000)
-0.8980 = -(0 + 8980/10000)
-0.8980 = -8980/10000
The nonzero terms determine the numerical value, while the trailing zero preserves the written ten-thousandths precision.
How -0.8980 Simplifies to -449/500
-0.8980 = -8980/10000
The greatest common divisor of 8980 and 10000 is 20.
-8980 ÷ 20 = -449
10000 ÷ 20 = 500
Therefore, -8980/10000 = -449/500.
-0.8980 as a Percentage
To convert -0.8980 to a percentage, multiply it by 100.
-0.8980 × 100 = -89.8
Therefore, -0.8980 = -89.8%.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that -0.8980 was written to the ten-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.
-0.8980 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.0898 | negative zero point zero eight nine eight | negative eight hundred ninety-eight ten-thousandths | -449/5000 | -8.98% | one tenth of -0.8980 |
| -0.898 | negative zero point eight nine eight | negative eight hundred ninety-eight thousandths | -449/500 | -89.8% | same numerical value, fewer written decimal places |
| -0.8980 | negative zero point eight nine eight zero | negative eight thousand nine hundred eighty ten-thousandths | -449/500 | -89.8% | current value |
| -0.89800 | negative zero point eight nine eight zero zero | negative eighty-nine thousand eight hundred hundred-thousandths | -449/500 | -89.8% | same numerical value, written to the hundred-thousandths place |
| -8.98 | negative eight point nine eight | negative eight and ninety-eight hundredths | -449/50 | -898% | ten times -0.8980 |
Quick Practice
How is -0.8980 read digit by digit?
Negative zero point eight nine eight zero.
What is the place-value word form of -0.8980?
Negative eight thousand nine hundred eighty ten-thousandths.
What fraction is -0.8980 in lowest terms?
-449/500.
What percentage is equal to -0.8980?
-89.8%.
What is the absolute value of -0.8980?
0.8980.
Between which whole numbers does -0.8980 lie?
Between -1 and 0.
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Frequently Asked Questions
How do you write -0.8980 in words?
-0.8980 in words is negative zero point eight nine eight zero.
Why is -0.8980 called negative eight thousand nine hundred eighty ten-thousandths?
There are 4 digits after the point, so the fractional part is expressed in ten-thousandths. Read the complete value as negative eight thousand nine hundred eighty ten-thousandths.
What fraction is -0.8980?
-0.8980 is -8980/10000 exactly and -449/500 in lowest terms.
Can -8980/10000 be simplified?
Yes. Divide its numerator and denominator by 20 to get -449/500.
What percentage is -0.8980?
-0.8980 is equal to -89.8%.
Is -0.8980 the same as -0.89800?
Yes. -0.8980 and -0.89800 have the same numerical value. However, -0.8980 is written to the ten-thousandths place, while -0.89800 is written to the hundred-thousandths place and may communicate greater recorded precision.
Is -0.8980 larger than -0.0898?
No. Negative values reverse the comparison; -0.8980 is ten times the value of -0.0898.
What type of decimal is -0.8980?
-0.8980 is a negative terminating decimal. It is written to 4 decimal places and represents negative eight thousand nine hundred eighty ten-thousandths.