98/109 Additive Inverse :
The additive inverse of 98/109 is -98/109.
This means that when we add 98/109 and -98/109, the result is zero:
98/109 + (-98/109) = 0
Additive Inverse of a Fraction
For fractions, the additive inverse is found by negating the numerator or denominator, but not both. In this case:
- Original fraction: 98/109
- Additive inverse: -98/109
To verify: 98/109 + (-98/109) = 0
Extended Mathematical Exploration of 98/109
Let's explore various mathematical operations and concepts related to 98/109 and its additive inverse -98/109.
Basic Operations and Properties
- Square of 98/109: 0.8083494655332
- Cube of 98/109: 0.72677291396563
- Square root of |98/109|: 0.94819964607003
- Reciprocal of 98/109: 1.1122448979592
- Double of 98/109: 1.7981651376147
- Half of 98/109: 0.44954128440367
- Absolute value of 98/109: 0.89908256880734
Trigonometric Functions
- Sine of 98/109: 0.78275629567765
- Cosine of 98/109: 0.62232835511248
- Tangent of 98/109: 1.2577866479122
Exponential and Logarithmic Functions
- e^98/109: 2.4573476293241
- Natural log of 98/109: -0.10638040355857
Floor and Ceiling Functions
- Floor of 98/109: 0
- Ceiling of 98/109: 1
Interesting Properties and Relationships
- The sum of 98/109 and its additive inverse (-98/109) is always 0.
- The product of 98/109 and its additive inverse is: -9604
- The average of 98/109 and its additive inverse is always 0.
- The distance between 98/109 and its additive inverse on a number line is: 196
Applications in Algebra
Consider the equation: x + 98/109 = 0
The solution to this equation is x = -98/109, which is the additive inverse of 98/109.
Graphical Representation
On a coordinate plane:
- The point (98/109, 0) is reflected across the y-axis to (-98/109, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 98/109 and Its Additive Inverse
Consider the alternating series: 98/109 + (-98/109) + 98/109 + (-98/109) + ...
The sum of this series oscillates between 0 and 98/109, never converging unless 98/109 is 0.
In Number Theory
For integer values:
- If 98/109 is even, its additive inverse is also even.
- If 98/109 is odd, its additive inverse is also odd.
- The sum of the digits of 98/109 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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