Decimal in the ten-thousandths place
-0.5080 in Words
-0.5080 is a negative terminating decimal. It has 4 decimal places, and its final digit is in the ten-thousandths place.
Direct Answer
-0.5080 in words is negative zero point five zero eight zero.
-0.5080 has the same numerical value as -0.508, but it is written to the ten-thousandths place.
-0.5080 Place-Value Breakdown
The decimal digits place 5 in the tenth place, 0 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 | 0 | hundredth | 0/100 |
| Decimal part | 8 | thousandth | 8/1000 |
| Decimal part | 0 | ten-thousandth | 0/10000 |
What Kind of Decimal Is -0.5080?
-0.5080 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 -0.5080
-0.5080 = -(5/10 + 8/1000)
-0.5080 = -(0 + 5080/10000)
-0.5080 = -5080/10000
The nonzero terms determine the numerical value, while the trailing zero preserves the written ten-thousandths precision.
How -0.5080 Simplifies to -127/250
-0.5080 = -5080/10000
The greatest common divisor of 5080 and 10000 is 40.
-5080 ÷ 40 = -127
10000 ÷ 40 = 250
Therefore, -5080/10000 = -127/250.
-0.5080 as a Percentage
To convert -0.5080 to a percentage, multiply it by 100.
-0.5080 × 100 = -50.8
Therefore, -0.5080 = -50.8%.
Trailing Zeros and Written Precision
The final 1 zero does not change the numerical value, but it shows that -0.5080 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.
-0.5080 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.0508 | negative zero point zero five zero eight | negative five hundred eight ten-thousandths | -127/2500 | -5.08% | one tenth of -0.5080 |
| -0.508 | negative zero point five zero eight | negative five hundred eight thousandths | -127/250 | -50.8% | same numerical value, fewer written decimal places |
| -0.5080 | negative zero point five zero eight zero | negative five thousand eighty ten-thousandths | -127/250 | -50.8% | current value |
| -0.50800 | negative zero point five zero eight zero zero | negative fifty thousand eight hundred hundred-thousandths | -127/250 | -50.8% | same numerical value, written to the hundred-thousandths place |
| -5.08 | negative five point zero eight | negative five and eight hundredths | -127/25 | -508% | ten times -0.5080 |
Quick Practice
How is -0.5080 read digit by digit?
Negative zero point five zero eight zero.
What is the place-value word form of -0.5080?
Negative five thousand eighty ten-thousandths.
What fraction is -0.5080 in lowest terms?
-127/250.
What percentage is equal to -0.5080?
-50.8%.
What is the absolute value of -0.5080?
0.5080.
Between which whole numbers does -0.5080 lie?
Between -1 and 0.
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Frequently Asked Questions
How do you write -0.5080 in words?
-0.5080 in words is negative zero point five zero eight zero.
Why is -0.5080 called negative five thousand 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 eighty ten-thousandths.
What fraction is -0.5080?
-0.5080 is -5080/10000 exactly and -127/250 in lowest terms.
Can -5080/10000 be simplified?
Yes. Divide its numerator and denominator by 40 to get -127/250.
What percentage is -0.5080?
-0.5080 is equal to -50.8%.
Is -0.5080 the same as -0.50800?
Yes. -0.5080 and -0.50800 have the same numerical value. However, -0.5080 is written to the ten-thousandths place, while -0.50800 is written to the hundred-thousandths place and may communicate greater recorded precision.
Is -0.5080 larger than -0.0508?
No. Negative values reverse the comparison; -0.5080 is ten times the value of -0.0508.
What type of decimal is -0.5080?
-0.5080 is a negative terminating decimal. It is written to 4 decimal places and represents negative five thousand eighty ten-thousandths.