98/107 Additive Inverse :
The additive inverse of 98/107 is -98/107.
This means that when we add 98/107 and -98/107, the result is zero:
98/107 + (-98/107) = 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: 98/107
- Additive inverse: -98/107
To verify: 98/107 + (-98/107) = 0
Extended Mathematical Exploration of 98/107
Let's explore various mathematical operations and concepts related to 98/107 and its additive inverse -98/107.
Basic Operations and Properties
- Square of 98/107: 0.83885055463359
- Cube of 98/107: 0.76829303134665
- Square root of |98/107|: 0.95702029783453
- Reciprocal of 98/107: 1.0918367346939
- Double of 98/107: 1.8317757009346
- Half of 98/107: 0.45794392523364
- Absolute value of 98/107: 0.91588785046729
Trigonometric Functions
- Sine of 98/107: 0.79310367727109
- Cosine of 98/107: 0.60908665811942
- Tangent of 98/107: 1.3021196026848
Exponential and Logarithmic Functions
- e^98/107: 2.4989929993474
- Natural log of 98/107: -0.087861355791334
Floor and Ceiling Functions
- Floor of 98/107: 0
- Ceiling of 98/107: 1
Interesting Properties and Relationships
- The sum of 98/107 and its additive inverse (-98/107) is always 0.
- The product of 98/107 and its additive inverse is: -9604
- The average of 98/107 and its additive inverse is always 0.
- The distance between 98/107 and its additive inverse on a number line is: 196
Applications in Algebra
Consider the equation: x + 98/107 = 0
The solution to this equation is x = -98/107, which is the additive inverse of 98/107.
Graphical Representation
On a coordinate plane:
- The point (98/107, 0) is reflected across the y-axis to (-98/107, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 98/107 and Its Additive Inverse
Consider the alternating series: 98/107 + (-98/107) + 98/107 + (-98/107) + ...
The sum of this series oscillates between 0 and 98/107, never converging unless 98/107 is 0.
In Number Theory
For integer values:
- If 98/107 is even, its additive inverse is also even.
- If 98/107 is odd, its additive inverse is also odd.
- The sum of the digits of 98/107 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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