13/26 Additive Inverse :
The additive inverse of 13/26 is -13/26.
This means that when we add 13/26 and -13/26, the result is zero:
13/26 + (-13/26) = 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: 13/26
- Additive inverse: -13/26
To verify: 13/26 + (-13/26) = 0
Extended Mathematical Exploration of 13/26
Let's explore various mathematical operations and concepts related to 13/26 and its additive inverse -13/26.
Basic Operations and Properties
- Square of 13/26: 0.25
- Cube of 13/26: 0.125
- Square root of |13/26|: 0.70710678118655
- Reciprocal of 13/26: 2
- Double of 13/26: 1
- Half of 13/26: 0.25
- Absolute value of 13/26: 0.5
Trigonometric Functions
- Sine of 13/26: 0.4794255386042
- Cosine of 13/26: 0.87758256189037
- Tangent of 13/26: 0.54630248984379
Exponential and Logarithmic Functions
- e^13/26: 1.6487212707001
- Natural log of 13/26: -0.69314718055995
Floor and Ceiling Functions
- Floor of 13/26: 0
- Ceiling of 13/26: 1
Interesting Properties and Relationships
- The sum of 13/26 and its additive inverse (-13/26) is always 0.
- The product of 13/26 and its additive inverse is: -169
- The average of 13/26 and its additive inverse is always 0.
- The distance between 13/26 and its additive inverse on a number line is: 26
Applications in Algebra
Consider the equation: x + 13/26 = 0
The solution to this equation is x = -13/26, which is the additive inverse of 13/26.
Graphical Representation
On a coordinate plane:
- The point (13/26, 0) is reflected across the y-axis to (-13/26, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13/26 and Its Additive Inverse
Consider the alternating series: 13/26 + (-13/26) + 13/26 + (-13/26) + ...
The sum of this series oscillates between 0 and 13/26, never converging unless 13/26 is 0.
In Number Theory
For integer values:
- If 13/26 is even, its additive inverse is also even.
- If 13/26 is odd, its additive inverse is also odd.
- The sum of the digits of 13/26 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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