26/35 Additive Inverse :
The additive inverse of 26/35 is -26/35.
This means that when we add 26/35 and -26/35, the result is zero:
26/35 + (-26/35) = 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: 26/35
- Additive inverse: -26/35
To verify: 26/35 + (-26/35) = 0
Extended Mathematical Exploration of 26/35
Let's explore various mathematical operations and concepts related to 26/35 and its additive inverse -26/35.
Basic Operations and Properties
- Square of 26/35: 0.55183673469388
- Cube of 26/35: 0.40993586005831
- Square root of |26/35|: 0.86189160737133
- Reciprocal of 26/35: 1.3461538461538
- Double of 26/35: 1.4857142857143
- Half of 26/35: 0.37142857142857
- Absolute value of 26/35: 0.74285714285714
Trigonometric Functions
- Sine of 26/35: 0.67639506673163
- Cosine of 26/35: 0.73653901030503
- Tangent of 26/35: 0.91834248731987
Exponential and Logarithmic Functions
- e^26/35: 2.1019324646708
- Natural log of 26/35: -0.29725152346793
Floor and Ceiling Functions
- Floor of 26/35: 0
- Ceiling of 26/35: 1
Interesting Properties and Relationships
- The sum of 26/35 and its additive inverse (-26/35) is always 0.
- The product of 26/35 and its additive inverse is: -676
- The average of 26/35 and its additive inverse is always 0.
- The distance between 26/35 and its additive inverse on a number line is: 52
Applications in Algebra
Consider the equation: x + 26/35 = 0
The solution to this equation is x = -26/35, which is the additive inverse of 26/35.
Graphical Representation
On a coordinate plane:
- The point (26/35, 0) is reflected across the y-axis to (-26/35, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 26/35 and Its Additive Inverse
Consider the alternating series: 26/35 + (-26/35) + 26/35 + (-26/35) + ...
The sum of this series oscillates between 0 and 26/35, never converging unless 26/35 is 0.
In Number Theory
For integer values:
- If 26/35 is even, its additive inverse is also even.
- If 26/35 is odd, its additive inverse is also odd.
- The sum of the digits of 26/35 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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