98/113 Additive Inverse :
The additive inverse of 98/113 is -98/113.
This means that when we add 98/113 and -98/113, the result is zero:
98/113 + (-98/113) = 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: 98/113
- Additive inverse: -98/113
To verify: 98/113 + (-98/113) = 0
Extended Mathematical Exploration of 98/113
Let's explore various mathematical operations and concepts related to 98/113 and its additive inverse -98/113.
Basic Operations and Properties
- Square of 98/113: 0.75213407471219
- Cube of 98/113: 0.65229326833447
- Square root of |98/113|: 0.93126614733284
- Reciprocal of 98/113: 1.1530612244898
- Double of 98/113: 1.7345132743363
- Half of 98/113: 0.43362831858407
- Absolute value of 98/113: 0.86725663716814
Trigonometric Functions
- Sine of 98/113: 0.7625570698786
- Cosine of 98/113: 0.64692094971346
- Tangent of 98/113: 1.1787484548404
Exponential and Logarithmic Functions
- e^98/113: 2.3803716647906
- Natural log of 98/113: -0.14242034004177
Floor and Ceiling Functions
- Floor of 98/113: 0
- Ceiling of 98/113: 1
Interesting Properties and Relationships
- The sum of 98/113 and its additive inverse (-98/113) is always 0.
- The product of 98/113 and its additive inverse is: -9604
- The average of 98/113 and its additive inverse is always 0.
- The distance between 98/113 and its additive inverse on a number line is: 196
Applications in Algebra
Consider the equation: x + 98/113 = 0
The solution to this equation is x = -98/113, which is the additive inverse of 98/113.
Graphical Representation
On a coordinate plane:
- The point (98/113, 0) is reflected across the y-axis to (-98/113, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 98/113 and Its Additive Inverse
Consider the alternating series: 98/113 + (-98/113) + 98/113 + (-98/113) + ...
The sum of this series oscillates between 0 and 98/113, never converging unless 98/113 is 0.
In Number Theory
For integer values:
- If 98/113 is even, its additive inverse is also even.
- If 98/113 is odd, its additive inverse is also odd.
- The sum of the digits of 98/113 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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