73/82 Additive Inverse :
The additive inverse of 73/82 is -73/82.
This means that when we add 73/82 and -73/82, the result is zero:
73/82 + (-73/82) = 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: 73/82
- Additive inverse: -73/82
To verify: 73/82 + (-73/82) = 0
Extended Mathematical Exploration of 73/82
Let's explore various mathematical operations and concepts related to 73/82 and its additive inverse -73/82.
Basic Operations and Properties
- Square of 73/82: 0.79253420582986
- Cube of 73/82: 0.70554874421439
- Square root of |73/82|: 0.94352737238462
- Reciprocal of 73/82: 1.1232876712329
- Double of 73/82: 1.780487804878
- Half of 73/82: 0.44512195121951
- Absolute value of 73/82: 0.89024390243902
Trigonometric Functions
- Sine of 73/82: 0.77722523954036
- Cosine of 73/82: 0.6292224781597
- Tangent of 73/82: 1.2352153117821
Exponential and Logarithmic Functions
- e^73/82: 2.435723657788
- Natural log of 73/82: -0.11625980611586
Floor and Ceiling Functions
- Floor of 73/82: 0
- Ceiling of 73/82: 1
Interesting Properties and Relationships
- The sum of 73/82 and its additive inverse (-73/82) is always 0.
- The product of 73/82 and its additive inverse is: -5329
- The average of 73/82 and its additive inverse is always 0.
- The distance between 73/82 and its additive inverse on a number line is: 146
Applications in Algebra
Consider the equation: x + 73/82 = 0
The solution to this equation is x = -73/82, which is the additive inverse of 73/82.
Graphical Representation
On a coordinate plane:
- The point (73/82, 0) is reflected across the y-axis to (-73/82, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 73/82 and Its Additive Inverse
Consider the alternating series: 73/82 + (-73/82) + 73/82 + (-73/82) + ...
The sum of this series oscillates between 0 and 73/82, never converging unless 73/82 is 0.
In Number Theory
For integer values:
- If 73/82 is even, its additive inverse is also even.
- If 73/82 is odd, its additive inverse is also odd.
- The sum of the digits of 73/82 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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