98/108 Additive Inverse :
The additive inverse of 98/108 is -98/108.
This means that when we add 98/108 and -98/108, the result is zero:
98/108 + (-98/108) = 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: 98/108
- Additive inverse: -98/108
To verify: 98/108 + (-98/108) = 0
Extended Mathematical Exploration of 98/108
Let's explore various mathematical operations and concepts related to 98/108 and its additive inverse -98/108.
Basic Operations and Properties
- Square of 98/108: 0.82338820301783
- Cube of 98/108: 0.74714855459026
- Square root of |98/108|: 0.95257934441568
- Reciprocal of 98/108: 1.1020408163265
- Double of 98/108: 1.8148148148148
- Half of 98/108: 0.4537037037037
- Absolute value of 98/108: 0.90740740740741
Trigonometric Functions
- Sine of 98/108: 0.78790989545108
- Cosine of 98/108: 0.61579054608712
- Tangent of 98/108: 1.2795095677542
Exponential and Logarithmic Functions
- e^98/108: 2.4778900392085
- Natural log of 98/108: -0.097163748453648
Floor and Ceiling Functions
- Floor of 98/108: 0
- Ceiling of 98/108: 1
Interesting Properties and Relationships
- The sum of 98/108 and its additive inverse (-98/108) is always 0.
- The product of 98/108 and its additive inverse is: -9604
- The average of 98/108 and its additive inverse is always 0.
- The distance between 98/108 and its additive inverse on a number line is: 196
Applications in Algebra
Consider the equation: x + 98/108 = 0
The solution to this equation is x = -98/108, which is the additive inverse of 98/108.
Graphical Representation
On a coordinate plane:
- The point (98/108, 0) is reflected across the y-axis to (-98/108, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 98/108 and Its Additive Inverse
Consider the alternating series: 98/108 + (-98/108) + 98/108 + (-98/108) + ...
The sum of this series oscillates between 0 and 98/108, never converging unless 98/108 is 0.
In Number Theory
For integer values:
- If 98/108 is even, its additive inverse is also even.
- If 98/108 is odd, its additive inverse is also odd.
- The sum of the digits of 98/108 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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