60/73 Additive Inverse :
The additive inverse of 60/73 is -60/73.
This means that when we add 60/73 and -60/73, the result is zero:
60/73 + (-60/73) = 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: 60/73
- Additive inverse: -60/73
To verify: 60/73 + (-60/73) = 0
Extended Mathematical Exploration of 60/73
Let's explore various mathematical operations and concepts related to 60/73 and its additive inverse -60/73.
Basic Operations and Properties
- Square of 60/73: 0.67554888346782
- Cube of 60/73: 0.55524565764478
- Square root of |60/73|: 0.90659682782325
- Reciprocal of 60/73: 1.2166666666667
- Double of 60/73: 1.6438356164384
- Half of 60/73: 0.41095890410959
- Absolute value of 60/73: 0.82191780821918
Trigonometric Functions
- Sine of 60/73: 0.73245285379099
- Cosine of 60/73: 0.68081775606504
- Tangent of 60/73: 1.0758427600719
Exponential and Logarithmic Functions
- e^60/73: 2.274858398889
- Natural log of 60/73: -0.19611487892629
Floor and Ceiling Functions
- Floor of 60/73: 0
- Ceiling of 60/73: 1
Interesting Properties and Relationships
- The sum of 60/73 and its additive inverse (-60/73) is always 0.
- The product of 60/73 and its additive inverse is: -3600
- The average of 60/73 and its additive inverse is always 0.
- The distance between 60/73 and its additive inverse on a number line is: 120
Applications in Algebra
Consider the equation: x + 60/73 = 0
The solution to this equation is x = -60/73, which is the additive inverse of 60/73.
Graphical Representation
On a coordinate plane:
- The point (60/73, 0) is reflected across the y-axis to (-60/73, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 60/73 and Its Additive Inverse
Consider the alternating series: 60/73 + (-60/73) + 60/73 + (-60/73) + ...
The sum of this series oscillates between 0 and 60/73, never converging unless 60/73 is 0.
In Number Theory
For integer values:
- If 60/73 is even, its additive inverse is also even.
- If 60/73 is odd, its additive inverse is also odd.
- The sum of the digits of 60/73 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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