83/98 Additive Inverse :
The additive inverse of 83/98 is -83/98.
This means that when we add 83/98 and -83/98, the result is zero:
83/98 + (-83/98) = 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: 83/98
- Additive inverse: -83/98
To verify: 83/98 + (-83/98) = 0
Extended Mathematical Exploration of 83/98
Let's explore various mathematical operations and concepts related to 83/98 and its additive inverse -83/98.
Basic Operations and Properties
- Square of 83/98: 0.71730528946272
- Cube of 83/98: 0.60751366352455
- Square root of |83/98|: 0.92029276619465
- Reciprocal of 83/98: 1.1807228915663
- Double of 83/98: 1.6938775510204
- Half of 83/98: 0.4234693877551
- Absolute value of 83/98: 0.8469387755102
Trigonometric Functions
- Sine of 83/98: 0.74925653156933
- Cosine of 83/98: 0.66227988788781
- Tangent of 83/98: 1.1313291333048
Exponential and Logarithmic Functions
- e^83/98: 2.3324956190346
- Natural log of 83/98: -0.16612687087397
Floor and Ceiling Functions
- Floor of 83/98: 0
- Ceiling of 83/98: 1
Interesting Properties and Relationships
- The sum of 83/98 and its additive inverse (-83/98) is always 0.
- The product of 83/98 and its additive inverse is: -6889
- The average of 83/98 and its additive inverse is always 0.
- The distance between 83/98 and its additive inverse on a number line is: 166
Applications in Algebra
Consider the equation: x + 83/98 = 0
The solution to this equation is x = -83/98, which is the additive inverse of 83/98.
Graphical Representation
On a coordinate plane:
- The point (83/98, 0) is reflected across the y-axis to (-83/98, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 83/98 and Its Additive Inverse
Consider the alternating series: 83/98 + (-83/98) + 83/98 + (-83/98) + ...
The sum of this series oscillates between 0 and 83/98, never converging unless 83/98 is 0.
In Number Theory
For integer values:
- If 83/98 is even, its additive inverse is also even.
- If 83/98 is odd, its additive inverse is also odd.
- The sum of the digits of 83/98 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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