86/90 Additive Inverse :
The additive inverse of 86/90 is -86/90.
This means that when we add 86/90 and -86/90, the result is zero:
86/90 + (-86/90) = 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: 86/90
- Additive inverse: -86/90
To verify: 86/90 + (-86/90) = 0
Extended Mathematical Exploration of 86/90
Let's explore various mathematical operations and concepts related to 86/90 and its additive inverse -86/90.
Basic Operations and Properties
- Square of 86/90: 0.91308641975309
- Cube of 86/90: 0.87250480109739
- Square root of |86/90|: 0.97752521990768
- Reciprocal of 86/90: 1.046511627907
- Double of 86/90: 1.9111111111111
- Half of 86/90: 0.47777777777778
- Absolute value of 86/90: 0.95555555555556
Trigonometric Functions
- Sine of 86/90: 0.81663450820921
- Cosine of 86/90: 0.5771551611152
- Tangent of 86/90: 1.4149306169788
Exponential and Logarithmic Functions
- e^86/90: 2.6001146899026
- Natural log of 86/90: -0.045462374076757
Floor and Ceiling Functions
- Floor of 86/90: 0
- Ceiling of 86/90: 1
Interesting Properties and Relationships
- The sum of 86/90 and its additive inverse (-86/90) is always 0.
- The product of 86/90 and its additive inverse is: -7396
- The average of 86/90 and its additive inverse is always 0.
- The distance between 86/90 and its additive inverse on a number line is: 172
Applications in Algebra
Consider the equation: x + 86/90 = 0
The solution to this equation is x = -86/90, which is the additive inverse of 86/90.
Graphical Representation
On a coordinate plane:
- The point (86/90, 0) is reflected across the y-axis to (-86/90, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 86/90 and Its Additive Inverse
Consider the alternating series: 86/90 + (-86/90) + 86/90 + (-86/90) + ...
The sum of this series oscillates between 0 and 86/90, never converging unless 86/90 is 0.
In Number Theory
For integer values:
- If 86/90 is even, its additive inverse is also even.
- If 86/90 is odd, its additive inverse is also odd.
- The sum of the digits of 86/90 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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