64/73 Additive Inverse :
The additive inverse of 64/73 is -64/73.
This means that when we add 64/73 and -64/73, the result is zero:
64/73 + (-64/73) = 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: 64/73
- Additive inverse: -64/73
To verify: 64/73 + (-64/73) = 0
Extended Mathematical Exploration of 64/73
Let's explore various mathematical operations and concepts related to 64/73 and its additive inverse -64/73.
Basic Operations and Properties
- Square of 64/73: 0.76862450741227
- Cube of 64/73: 0.6738625818409
- Square root of |64/73|: 0.93632917756904
- Reciprocal of 64/73: 1.140625
- Double of 64/73: 1.7534246575342
- Half of 64/73: 0.43835616438356
- Absolute value of 64/73: 0.87671232876712
Trigonometric Functions
- Sine of 64/73: 0.76863997381423
- Cosine of 64/73: 0.63968163226315
- Tangent of 64/73: 1.2015976933632
Exponential and Logarithmic Functions
- e^64/73: 2.4029864759848
- Natural log of 64/73: -0.13157635778872
Floor and Ceiling Functions
- Floor of 64/73: 0
- Ceiling of 64/73: 1
Interesting Properties and Relationships
- The sum of 64/73 and its additive inverse (-64/73) is always 0.
- The product of 64/73 and its additive inverse is: -4096
- The average of 64/73 and its additive inverse is always 0.
- The distance between 64/73 and its additive inverse on a number line is: 128
Applications in Algebra
Consider the equation: x + 64/73 = 0
The solution to this equation is x = -64/73, which is the additive inverse of 64/73.
Graphical Representation
On a coordinate plane:
- The point (64/73, 0) is reflected across the y-axis to (-64/73, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 64/73 and Its Additive Inverse
Consider the alternating series: 64/73 + (-64/73) + 64/73 + (-64/73) + ...
The sum of this series oscillates between 0 and 64/73, never converging unless 64/73 is 0.
In Number Theory
For integer values:
- If 64/73 is even, its additive inverse is also even.
- If 64/73 is odd, its additive inverse is also odd.
- The sum of the digits of 64/73 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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