63/73 Additive Inverse :
The additive inverse of 63/73 is -63/73.
This means that when we add 63/73 and -63/73, the result is zero:
63/73 + (-63/73) = 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: 63/73
- Additive inverse: -63/73
To verify: 63/73 + (-63/73) = 0
Extended Mathematical Exploration of 63/73
Let's explore various mathematical operations and concepts related to 63/73 and its additive inverse -63/73.
Basic Operations and Properties
- Square of 63/73: 0.74479264402327
- Cube of 63/73: 0.64276625443104
- Square root of |63/73|: 0.928985305928
- Reciprocal of 63/73: 1.1587301587302
- Double of 63/73: 1.7260273972603
- Half of 63/73: 0.43150684931507
- Absolute value of 63/73: 0.86301369863014
Trigonometric Functions
- Sine of 63/73: 0.75980536831871
- Cosine of 63/73: 0.65015059968754
- Tangent of 63/73: 1.1686605667731
Exponential and Logarithmic Functions
- e^63/73: 2.3702932902009
- Natural log of 63/73: -0.14732471475686
Floor and Ceiling Functions
- Floor of 63/73: 0
- Ceiling of 63/73: 1
Interesting Properties and Relationships
- The sum of 63/73 and its additive inverse (-63/73) is always 0.
- The product of 63/73 and its additive inverse is: -3969
- The average of 63/73 and its additive inverse is always 0.
- The distance between 63/73 and its additive inverse on a number line is: 126
Applications in Algebra
Consider the equation: x + 63/73 = 0
The solution to this equation is x = -63/73, which is the additive inverse of 63/73.
Graphical Representation
On a coordinate plane:
- The point (63/73, 0) is reflected across the y-axis to (-63/73, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 63/73 and Its Additive Inverse
Consider the alternating series: 63/73 + (-63/73) + 63/73 + (-63/73) + ...
The sum of this series oscillates between 0 and 63/73, never converging unless 63/73 is 0.
In Number Theory
For integer values:
- If 63/73 is even, its additive inverse is also even.
- If 63/73 is odd, its additive inverse is also odd.
- The sum of the digits of 63/73 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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