64/72 Additive Inverse :
The additive inverse of 64/72 is -64/72.
This means that when we add 64/72 and -64/72, the result is zero:
64/72 + (-64/72) = 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: 64/72
- Additive inverse: -64/72
To verify: 64/72 + (-64/72) = 0
Extended Mathematical Exploration of 64/72
Let's explore various mathematical operations and concepts related to 64/72 and its additive inverse -64/72.
Basic Operations and Properties
- Square of 64/72: 0.79012345679012
- Cube of 64/72: 0.70233196159122
- Square root of |64/72|: 0.94280904158206
- Reciprocal of 64/72: 1.125
- Double of 64/72: 1.7777777777778
- Half of 64/72: 0.44444444444444
- Absolute value of 64/72: 0.88888888888889
Trigonometric Functions
- Sine of 64/72: 0.77637192130066
- Cosine of 64/72: 0.63027505092295
- Tangent of 64/72: 1.2317985935883
Exponential and Logarithmic Functions
- e^64/72: 2.4324254542872
- Natural log of 64/72: -0.11778303565638
Floor and Ceiling Functions
- Floor of 64/72: 0
- Ceiling of 64/72: 1
Interesting Properties and Relationships
- The sum of 64/72 and its additive inverse (-64/72) is always 0.
- The product of 64/72 and its additive inverse is: -4096
- The average of 64/72 and its additive inverse is always 0.
- The distance between 64/72 and its additive inverse on a number line is: 128
Applications in Algebra
Consider the equation: x + 64/72 = 0
The solution to this equation is x = -64/72, which is the additive inverse of 64/72.
Graphical Representation
On a coordinate plane:
- The point (64/72, 0) is reflected across the y-axis to (-64/72, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 64/72 and Its Additive Inverse
Consider the alternating series: 64/72 + (-64/72) + 64/72 + (-64/72) + ...
The sum of this series oscillates between 0 and 64/72, never converging unless 64/72 is 0.
In Number Theory
For integer values:
- If 64/72 is even, its additive inverse is also even.
- If 64/72 is odd, its additive inverse is also odd.
- The sum of the digits of 64/72 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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