20/26 Additive Inverse :
The additive inverse of 20/26 is -20/26.
This means that when we add 20/26 and -20/26, the result is zero:
20/26 + (-20/26) = 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: 20/26
- Additive inverse: -20/26
To verify: 20/26 + (-20/26) = 0
Extended Mathematical Exploration of 20/26
Let's explore various mathematical operations and concepts related to 20/26 and its additive inverse -20/26.
Basic Operations and Properties
- Square of 20/26: 0.59171597633136
- Cube of 20/26: 0.45516613563951
- Square root of |20/26|: 0.87705801930703
- Reciprocal of 20/26: 1.3
- Double of 20/26: 1.5384615384615
- Half of 20/26: 0.38461538461538
- Absolute value of 20/26: 0.76923076923077
Trigonometric Functions
- Sine of 20/26: 0.69558279374803
- Cosine of 20/26: 0.71844594580364
- Tangent of 20/26: 0.96817693496756
Exponential and Logarithmic Functions
- e^20/26: 2.1581055339484
- Natural log of 20/26: -0.26236426446749
Floor and Ceiling Functions
- Floor of 20/26: 0
- Ceiling of 20/26: 1
Interesting Properties and Relationships
- The sum of 20/26 and its additive inverse (-20/26) is always 0.
- The product of 20/26 and its additive inverse is: -400
- The average of 20/26 and its additive inverse is always 0.
- The distance between 20/26 and its additive inverse on a number line is: 40
Applications in Algebra
Consider the equation: x + 20/26 = 0
The solution to this equation is x = -20/26, which is the additive inverse of 20/26.
Graphical Representation
On a coordinate plane:
- The point (20/26, 0) is reflected across the y-axis to (-20/26, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 20/26 and Its Additive Inverse
Consider the alternating series: 20/26 + (-20/26) + 20/26 + (-20/26) + ...
The sum of this series oscillates between 0 and 20/26, never converging unless 20/26 is 0.
In Number Theory
For integer values:
- If 20/26 is even, its additive inverse is also even.
- If 20/26 is odd, its additive inverse is also odd.
- The sum of the digits of 20/26 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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