73/88 Additive Inverse :
The additive inverse of 73/88 is -73/88.
This means that when we add 73/88 and -73/88, the result is zero:
73/88 + (-73/88) = 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: 73/88
- Additive inverse: -73/88
To verify: 73/88 + (-73/88) = 0
Extended Mathematical Exploration of 73/88
Let's explore various mathematical operations and concepts related to 73/88 and its additive inverse -73/88.
Basic Operations and Properties
- Square of 73/88: 0.68814566115702
- Cube of 73/88: 0.57084810527799
- Square root of |73/88|: 0.91079385952336
- Reciprocal of 73/88: 1.2054794520548
- Double of 73/88: 1.6590909090909
- Half of 73/88: 0.41477272727273
- Absolute value of 73/88: 0.82954545454545
Trigonometric Functions
- Sine of 73/88: 0.73762453317882
- Cosine of 73/88: 0.67521111369165
- Tangent of 73/88: 1.0924354149711
Exponential and Logarithmic Functions
- e^73/88: 2.2922765595322
- Natural log of 73/88: -0.18687737332982
Floor and Ceiling Functions
- Floor of 73/88: 0
- Ceiling of 73/88: 1
Interesting Properties and Relationships
- The sum of 73/88 and its additive inverse (-73/88) is always 0.
- The product of 73/88 and its additive inverse is: -5329
- The average of 73/88 and its additive inverse is always 0.
- The distance between 73/88 and its additive inverse on a number line is: 146
Applications in Algebra
Consider the equation: x + 73/88 = 0
The solution to this equation is x = -73/88, which is the additive inverse of 73/88.
Graphical Representation
On a coordinate plane:
- The point (73/88, 0) is reflected across the y-axis to (-73/88, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 73/88 and Its Additive Inverse
Consider the alternating series: 73/88 + (-73/88) + 73/88 + (-73/88) + ...
The sum of this series oscillates between 0 and 73/88, never converging unless 73/88 is 0.
In Number Theory
For integer values:
- If 73/88 is even, its additive inverse is also even.
- If 73/88 is odd, its additive inverse is also odd.
- The sum of the digits of 73/88 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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