78/88 Additive Inverse :
The additive inverse of 78/88 is -78/88.
This means that when we add 78/88 and -78/88, the result is zero:
78/88 + (-78/88) = 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: 78/88
- Additive inverse: -78/88
To verify: 78/88 + (-78/88) = 0
Extended Mathematical Exploration of 78/88
Let's explore various mathematical operations and concepts related to 78/88 and its additive inverse -78/88.
Basic Operations and Properties
- Square of 78/88: 0.78564049586777
- Cube of 78/88: 0.69636316679189
- Square root of |78/88|: 0.94146887169127
- Reciprocal of 78/88: 1.1282051282051
- Double of 78/88: 1.7727272727273
- Half of 78/88: 0.44318181818182
- Absolute value of 78/88: 0.88636363636364
Trigonometric Functions
- Sine of 78/88: 0.77477784390644
- Cosine of 78/88: 0.63223357439454
- Tangent of 78/88: 1.2254614042736
Exponential and Logarithmic Functions
- e^78/88: 2.4262907149094
- Natural log of 78/88: -0.12062798778861
Floor and Ceiling Functions
- Floor of 78/88: 0
- Ceiling of 78/88: 1
Interesting Properties and Relationships
- The sum of 78/88 and its additive inverse (-78/88) is always 0.
- The product of 78/88 and its additive inverse is: -6084
- The average of 78/88 and its additive inverse is always 0.
- The distance between 78/88 and its additive inverse on a number line is: 156
Applications in Algebra
Consider the equation: x + 78/88 = 0
The solution to this equation is x = -78/88, which is the additive inverse of 78/88.
Graphical Representation
On a coordinate plane:
- The point (78/88, 0) is reflected across the y-axis to (-78/88, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 78/88 and Its Additive Inverse
Consider the alternating series: 78/88 + (-78/88) + 78/88 + (-78/88) + ...
The sum of this series oscillates between 0 and 78/88, never converging unless 78/88 is 0.
In Number Theory
For integer values:
- If 78/88 is even, its additive inverse is also even.
- If 78/88 is odd, its additive inverse is also odd.
- The sum of the digits of 78/88 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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