Number DigitDecimal in the ten-thousandths place
-0.5880 in Words
-0.5880 is a negative terminating decimal. It has 4 decimal places, and its final digit is in the ten-thousandths place.
Direct Answer
-0.5880 in words is negative zero point five eight eight zero.
-0.5880 has the same numerical value as -0.588, but it is written to the ten-thousandths place.
-0.5880 Place-Value Breakdown
The decimal digits place 5 in the tenth place, 8 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 | 5 | tenth | 5/10 |
| Decimal part | 8 | hundredth | 8/100 |
| Decimal part | 8 | thousandth | 8/1000 |
| Decimal part | 0 | ten-thousandth | 0/10000 |
What Kind of Decimal Is -0.5880?
-0.5880 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 -0.5880
-0.5880 = -(5/10 + 8/100 + 8/1000)
-0.5880 = -(0 + 5880/10000)
-0.5880 = -5880/10000
The nonzero terms determine the numerical value, while the trailing zero preserves the written ten-thousandths precision.
How -0.5880 Simplifies to -147/250
-0.5880 = -5880/10000
The greatest common divisor of 5880 and 10000 is 40.
-5880 ÷ 40 = -147
10000 ÷ 40 = 250
Therefore, -5880/10000 = -147/250.
-0.5880 as a Percentage
To convert -0.5880 to a percentage, multiply it by 100.
-0.5880 × 100 = -58.8
Therefore, -0.5880 = -58.8%.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that -0.5880 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.
-0.5880 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.0588 | negative zero point zero five eight eight | negative five hundred eighty-eight ten-thousandths | -147/2500 | -5.88% | one tenth of -0.5880 |
| -0.588 | negative zero point five eight eight | negative five hundred eighty-eight thousandths | -147/250 | -58.8% | same numerical value, fewer written decimal places |
| -0.5880 | negative zero point five eight eight zero | negative five thousand eight hundred eighty ten-thousandths | -147/250 | -58.8% | current value |
| -0.58800 | negative zero point five eight eight zero zero | negative fifty-eight thousand eight hundred hundred-thousandths | -147/250 | -58.8% | same numerical value, written to the hundred-thousandths place |
| -5.88 | negative five point eight eight | negative five and eighty-eight hundredths | -147/25 | -588% | ten times -0.5880 |
Quick Practice
How is -0.5880 read digit by digit?
Negative zero point five eight eight zero.
What is the place-value word form of -0.5880?
Negative five thousand eight hundred eighty ten-thousandths.
What fraction is -0.5880 in lowest terms?
-147/250.
What percentage is equal to -0.5880?
-58.8%.
What is the absolute value of -0.5880?
0.5880.
Between which whole numbers does -0.5880 lie?
Between -1 and 0.
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Frequently Asked Questions
How do you write -0.5880 in words?
-0.5880 in words is negative zero point five eight eight zero.
Why is -0.5880 called negative five thousand eight 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 five thousand eight hundred eighty ten-thousandths.
What fraction is -0.5880?
-0.5880 is -5880/10000 exactly and -147/250 in lowest terms.
Can -5880/10000 be simplified?
Yes. Divide its numerator and denominator by 40 to get -147/250.
What percentage is -0.5880?
-0.5880 is equal to -58.8%.
Is -0.5880 the same as -0.58800?
Yes. -0.5880 and -0.58800 have the same numerical value. However, -0.5880 is written to the ten-thousandths place, while -0.58800 is written to the hundred-thousandths place and may communicate greater recorded precision.
Is -0.5880 larger than -0.0588?
No. Negative values reverse the comparison; -0.5880 is ten times the value of -0.0588.
What type of decimal is -0.5880?
-0.5880 is a negative terminating decimal. It is written to 4 decimal places and represents negative five thousand eight hundred eighty ten-thousandths.