87/88 Additive Inverse :
The additive inverse of 87/88 is -87/88.
This means that when we add 87/88 and -87/88, the result is zero:
87/88 + (-87/88) = 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: 87/88
- Additive inverse: -87/88
To verify: 87/88 + (-87/88) = 0
Extended Mathematical Exploration of 87/88
Let's explore various mathematical operations and concepts related to 87/88 and its additive inverse -87/88.
Basic Operations and Properties
- Square of 87/88: 0.97740185950413
- Cube of 87/88: 0.96629502019159
- Square root of |87/88|: 0.99430194791943
- Reciprocal of 87/88: 1.0114942528736
- Double of 87/88: 1.9772727272727
- Half of 87/88: 0.49431818181818
- Absolute value of 87/88: 0.98863636363636
Trigonometric Functions
- Sine of 87/88: 0.8352769880894
- Cosine of 87/88: 0.54982938550818
- Tangent of 87/88: 1.5191566877012
Exponential and Logarithmic Functions
- e^87/88: 2.6875671082035
- Natural log of 87/88: -0.011428695823623
Floor and Ceiling Functions
- Floor of 87/88: 0
- Ceiling of 87/88: 1
Interesting Properties and Relationships
- The sum of 87/88 and its additive inverse (-87/88) is always 0.
- The product of 87/88 and its additive inverse is: -7569
- The average of 87/88 and its additive inverse is always 0.
- The distance between 87/88 and its additive inverse on a number line is: 174
Applications in Algebra
Consider the equation: x + 87/88 = 0
The solution to this equation is x = -87/88, which is the additive inverse of 87/88.
Graphical Representation
On a coordinate plane:
- The point (87/88, 0) is reflected across the y-axis to (-87/88, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 87/88 and Its Additive Inverse
Consider the alternating series: 87/88 + (-87/88) + 87/88 + (-87/88) + ...
The sum of this series oscillates between 0 and 87/88, never converging unless 87/88 is 0.
In Number Theory
For integer values:
- If 87/88 is even, its additive inverse is also even.
- If 87/88 is odd, its additive inverse is also odd.
- The sum of the digits of 87/88 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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