87/90 Additive Inverse :
The additive inverse of 87/90 is -87/90.
This means that when we add 87/90 and -87/90, the result is zero:
87/90 + (-87/90) = 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: 87/90
- Additive inverse: -87/90
To verify: 87/90 + (-87/90) = 0
Extended Mathematical Exploration of 87/90
Let's explore various mathematical operations and concepts related to 87/90 and its additive inverse -87/90.
Basic Operations and Properties
- Square of 87/90: 0.93444444444444
- Cube of 87/90: 0.9032962962963
- Square root of |87/90|: 0.98319208025018
- Reciprocal of 87/90: 1.0344827586207
- Double of 87/90: 1.9333333333333
- Half of 87/90: 0.48333333333333
- Absolute value of 87/90: 0.96666666666667
Trigonometric Functions
- Sine of 87/90: 0.82299680236325
- Cosine of 87/90: 0.56804600456289
- Tangent of 87/90: 1.4488206866212
Exponential and Logarithmic Functions
- e^87/90: 2.6291659501333
- Natural log of 87/90: -0.033901551675681
Floor and Ceiling Functions
- Floor of 87/90: 0
- Ceiling of 87/90: 1
Interesting Properties and Relationships
- The sum of 87/90 and its additive inverse (-87/90) is always 0.
- The product of 87/90 and its additive inverse is: -7569
- The average of 87/90 and its additive inverse is always 0.
- The distance between 87/90 and its additive inverse on a number line is: 174
Applications in Algebra
Consider the equation: x + 87/90 = 0
The solution to this equation is x = -87/90, which is the additive inverse of 87/90.
Graphical Representation
On a coordinate plane:
- The point (87/90, 0) is reflected across the y-axis to (-87/90, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 87/90 and Its Additive Inverse
Consider the alternating series: 87/90 + (-87/90) + 87/90 + (-87/90) + ...
The sum of this series oscillates between 0 and 87/90, never converging unless 87/90 is 0.
In Number Theory
For integer values:
- If 87/90 is even, its additive inverse is also even.
- If 87/90 is odd, its additive inverse is also odd.
- The sum of the digits of 87/90 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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