90/96 Additive Inverse :
The additive inverse of 90/96 is -90/96.
This means that when we add 90/96 and -90/96, the result is zero:
90/96 + (-90/96) = 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: 90/96
- Additive inverse: -90/96
To verify: 90/96 + (-90/96) = 0
Extended Mathematical Exploration of 90/96
Let's explore various mathematical operations and concepts related to 90/96 and its additive inverse -90/96.
Basic Operations and Properties
- Square of 90/96: 0.87890625
- Cube of 90/96: 0.823974609375
- Square root of |90/96|: 0.96824583655185
- Reciprocal of 90/96: 1.0666666666667
- Double of 90/96: 1.875
- Half of 90/96: 0.46875
- Absolute value of 90/96: 0.9375
Trigonometric Functions
- Sine of 90/96: 0.80608110826069
- Cosine of 90/96: 0.59180507509248
- Tangent of 90/96: 1.3620719763762
Exponential and Logarithmic Functions
- e^90/96: 2.5535894580629
- Natural log of 90/96: -0.064538521137571
Floor and Ceiling Functions
- Floor of 90/96: 0
- Ceiling of 90/96: 1
Interesting Properties and Relationships
- The sum of 90/96 and its additive inverse (-90/96) is always 0.
- The product of 90/96 and its additive inverse is: -8100
- The average of 90/96 and its additive inverse is always 0.
- The distance between 90/96 and its additive inverse on a number line is: 180
Applications in Algebra
Consider the equation: x + 90/96 = 0
The solution to this equation is x = -90/96, which is the additive inverse of 90/96.
Graphical Representation
On a coordinate plane:
- The point (90/96, 0) is reflected across the y-axis to (-90/96, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 90/96 and Its Additive Inverse
Consider the alternating series: 90/96 + (-90/96) + 90/96 + (-90/96) + ...
The sum of this series oscillates between 0 and 90/96, never converging unless 90/96 is 0.
In Number Theory
For integer values:
- If 90/96 is even, its additive inverse is also even.
- If 90/96 is odd, its additive inverse is also odd.
- The sum of the digits of 90/96 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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