Number DigitDecimal in the ten-thousandths place
-0.0108 in Words
-0.0108 is a negative terminating decimal. It has 4 decimal places, and its final digit is in the ten-thousandths place.
Direct Answer
-0.0108 in words is negative zero point zero one zero eight.
-0.0108 Place-Value Breakdown
The first digit after the decimal point is 0, and the digit 1 is in the hundredth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 0 | ones | 0 |
| Decimal part | 0 | tenth | 0/10 |
| Decimal part | 1 | hundredth | 1/100 |
| Decimal part | 0 | thousandth | 0/1000 |
| Decimal part | 8 | ten-thousandth | 8/10000 |
What Kind of Decimal Is -0.0108?
-0.0108 is a negative terminating decimal. It is written to the ten-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 -0.0108
-0.0108 = -(1/100 + 8/10000)
-0.0108 = -(0 + 108/10000)
The final nonzero digit is in the ten-thousandths place, so its value is expressed with a denominator of 10000.
How -0.0108 Simplifies to -27/2500
-0.0108 = -108/10000
The greatest common divisor of 108 and 10000 is 4.
-108 ÷ 4 = -27
10000 ÷ 4 = 2500
Therefore, -108/10000 = -27/2500.
-0.0108 as a Percentage
To convert -0.0108 to a percentage, multiply it by 100.
-0.0108 × 100 = -1.08
Therefore, -0.0108 = -1.08%.
Why the Zeros After the Point Matter
-0.0108 begins with 1 decimal-place placeholder before its first nonzero digit. Omitting one would move that digit left and create a different value.
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.
-0.0108 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| -0.00108 | negative zero point zero zero one zero eight | negative one hundred eight hundred-thousandths | -27/25000 | -0.108% | one tenth of -0.0108 |
| -0.0108 | negative zero point zero one zero eight | negative one hundred eight ten-thousandths | -27/2500 | -1.08% | current value |
| -0.01080 | negative zero point zero one zero eight zero | negative one thousand eighty hundred-thousandths | -27/2500 | -1.08% | same numerical value, written to the hundred-thousandths place |
| -0.108 | negative zero point one zero eight | negative one hundred eight thousandths | -27/250 | -10.8% | ten times -0.0108 |
Quick Practice
How is -0.0108 read digit by digit?
Negative zero point zero one zero eight.
What is the place-value word form of -0.0108?
Negative one hundred eight ten-thousandths.
What fraction is -0.0108 in lowest terms?
-27/2500.
What percentage is equal to -0.0108?
-1.08%.
What is the absolute value of -0.0108?
0.0108.
Between which whole numbers does -0.0108 lie?
Between -1 and 0.
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Frequently Asked Questions
How do you write -0.0108 in words?
-0.0108 in words is negative zero point zero one zero eight.
Why is -0.0108 called negative one hundred eight ten-thousandths?
There are 4 digits after the point, so the fractional part is expressed in ten-thousandths. Read the complete value as negative one hundred eight ten-thousandths.
What fraction is -0.0108?
-0.0108 is -108/10000 exactly and -27/2500 in lowest terms.
Can -108/10000 be simplified?
Yes. Divide its numerator and denominator by 4 to get -27/2500.
What percentage is -0.0108?
-0.0108 is equal to -1.08%.
Is -0.0108 the same as -0.01080?
Yes. -0.0108 and -0.01080 have the same numerical value. However, -0.0108 is written to the ten-thousandths place, while -0.01080 is written to the hundred-thousandths place and may communicate greater recorded precision.
Is -0.0108 larger than -0.00108?
No. Negative values reverse the comparison; -0.0108 is ten times the value of -0.00108.
What type of decimal is -0.0108?
-0.0108 is a negative terminating decimal. It is written to 4 decimal places and represents negative one hundred eight ten-thousandths.