87/102 Additive Inverse :
The additive inverse of 87/102 is -87/102.
This means that when we add 87/102 and -87/102, the result is zero:
87/102 + (-87/102) = 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: 87/102
- Additive inverse: -87/102
To verify: 87/102 + (-87/102) = 0
Extended Mathematical Exploration of 87/102
Let's explore various mathematical operations and concepts related to 87/102 and its additive inverse -87/102.
Basic Operations and Properties
- Square of 87/102: 0.72750865051903
- Cube of 87/102: 0.62052208426623
- Square root of |87/102|: 0.9235481451828
- Reciprocal of 87/102: 1.1724137931034
- Double of 87/102: 1.7058823529412
- Half of 87/102: 0.42647058823529
- Absolute value of 87/102: 0.85294117647059
Trigonometric Functions
- Sine of 87/102: 0.75321827976095
- Cosine of 87/102: 0.65777064622401
- Tangent of 87/102: 1.1451077728763
Exponential and Logarithmic Functions
- e^87/102: 2.3465382957046
- Natural log of 87/102: -0.15906469462969
Floor and Ceiling Functions
- Floor of 87/102: 0
- Ceiling of 87/102: 1
Interesting Properties and Relationships
- The sum of 87/102 and its additive inverse (-87/102) is always 0.
- The product of 87/102 and its additive inverse is: -7569
- The average of 87/102 and its additive inverse is always 0.
- The distance between 87/102 and its additive inverse on a number line is: 174
Applications in Algebra
Consider the equation: x + 87/102 = 0
The solution to this equation is x = -87/102, which is the additive inverse of 87/102.
Graphical Representation
On a coordinate plane:
- The point (87/102, 0) is reflected across the y-axis to (-87/102, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 87/102 and Its Additive Inverse
Consider the alternating series: 87/102 + (-87/102) + 87/102 + (-87/102) + ...
The sum of this series oscillates between 0 and 87/102, never converging unless 87/102 is 0.
In Number Theory
For integer values:
- If 87/102 is even, its additive inverse is also even.
- If 87/102 is odd, its additive inverse is also odd.
- The sum of the digits of 87/102 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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