11/26 Additive Inverse :
The additive inverse of 11/26 is -11/26.
This means that when we add 11/26 and -11/26, the result is zero:
11/26 + (-11/26) = 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: 11/26
- Additive inverse: -11/26
To verify: 11/26 + (-11/26) = 0
Extended Mathematical Exploration of 11/26
Let's explore various mathematical operations and concepts related to 11/26 and its additive inverse -11/26.
Basic Operations and Properties
- Square of 11/26: 0.17899408284024
- Cube of 11/26: 0.075728265817023
- Square root of |11/26|: 0.65044363558799
- Reciprocal of 11/26: 2.3636363636364
- Double of 11/26: 0.84615384615385
- Half of 11/26: 0.21153846153846
- Absolute value of 11/26: 0.42307692307692
Trigonometric Functions
- Sine of 11/26: 0.41056802283269
- Cosine of 11/26: 0.91182997243305
- Tangent of 11/26: 0.45026818074115
Exponential and Logarithmic Functions
- e^11/26: 1.526651726198
- Natural log of 11/26: -0.86020126522311
Floor and Ceiling Functions
- Floor of 11/26: 0
- Ceiling of 11/26: 1
Interesting Properties and Relationships
- The sum of 11/26 and its additive inverse (-11/26) is always 0.
- The product of 11/26 and its additive inverse is: -121
- The average of 11/26 and its additive inverse is always 0.
- The distance between 11/26 and its additive inverse on a number line is: 22
Applications in Algebra
Consider the equation: x + 11/26 = 0
The solution to this equation is x = -11/26, which is the additive inverse of 11/26.
Graphical Representation
On a coordinate plane:
- The point (11/26, 0) is reflected across the y-axis to (-11/26, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 11/26 and Its Additive Inverse
Consider the alternating series: 11/26 + (-11/26) + 11/26 + (-11/26) + ...
The sum of this series oscillates between 0 and 11/26, never converging unless 11/26 is 0.
In Number Theory
For integer values:
- If 11/26 is even, its additive inverse is also even.
- If 11/26 is odd, its additive inverse is also odd.
- The sum of the digits of 11/26 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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