15/26 Additive Inverse :
The additive inverse of 15/26 is -15/26.
This means that when we add 15/26 and -15/26, the result is zero:
15/26 + (-15/26) = 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: 15/26
- Additive inverse: -15/26
To verify: 15/26 + (-15/26) = 0
Extended Mathematical Exploration of 15/26
Let's explore various mathematical operations and concepts related to 15/26 and its additive inverse -15/26.
Basic Operations and Properties
- Square of 15/26: 0.33284023668639
- Cube of 15/26: 0.19202321347292
- Square root of |15/26|: 0.75955452531275
- Reciprocal of 15/26: 1.7333333333333
- Double of 15/26: 1.1538461538462
- Half of 15/26: 0.28846153846154
- Absolute value of 15/26: 0.57692307692308
Trigonometric Functions
- Sine of 15/26: 0.54544761542837
- Cosine of 15/26: 0.83814491516891
- Tangent of 15/26: 0.65077960333202
Exponential and Logarithmic Functions
- e^15/26: 1.7805513738413
- Natural log of 15/26: -0.55004633691927
Floor and Ceiling Functions
- Floor of 15/26: 0
- Ceiling of 15/26: 1
Interesting Properties and Relationships
- The sum of 15/26 and its additive inverse (-15/26) is always 0.
- The product of 15/26 and its additive inverse is: -225
- The average of 15/26 and its additive inverse is always 0.
- The distance between 15/26 and its additive inverse on a number line is: 30
Applications in Algebra
Consider the equation: x + 15/26 = 0
The solution to this equation is x = -15/26, which is the additive inverse of 15/26.
Graphical Representation
On a coordinate plane:
- The point (15/26, 0) is reflected across the y-axis to (-15/26, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15/26 and Its Additive Inverse
Consider the alternating series: 15/26 + (-15/26) + 15/26 + (-15/26) + ...
The sum of this series oscillates between 0 and 15/26, never converging unless 15/26 is 0.
In Number Theory
For integer values:
- If 15/26 is even, its additive inverse is also even.
- If 15/26 is odd, its additive inverse is also odd.
- The sum of the digits of 15/26 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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