26/34 Additive Inverse :
The additive inverse of 26/34 is -26/34.
This means that when we add 26/34 and -26/34, the result is zero:
26/34 + (-26/34) = 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: 26/34
- Additive inverse: -26/34
To verify: 26/34 + (-26/34) = 0
Extended Mathematical Exploration of 26/34
Let's explore various mathematical operations and concepts related to 26/34 and its additive inverse -26/34.
Basic Operations and Properties
- Square of 26/34: 0.58477508650519
- Cube of 26/34: 0.44718094850397
- Square root of |26/34|: 0.87447463219521
- Reciprocal of 26/34: 1.3076923076923
- Double of 26/34: 1.5294117647059
- Half of 26/34: 0.38235294117647
- Absolute value of 26/34: 0.76470588235294
Trigonometric Functions
- Sine of 26/34: 0.69232479733084
- Cosine of 26/34: 0.72158601358453
- Tangent of 26/34: 0.95944874803167
Exponential and Logarithmic Functions
- e^26/34: 2.1483624104267
- Natural log of 26/34: -0.26826398659468
Floor and Ceiling Functions
- Floor of 26/34: 0
- Ceiling of 26/34: 1
Interesting Properties and Relationships
- The sum of 26/34 and its additive inverse (-26/34) is always 0.
- The product of 26/34 and its additive inverse is: -676
- The average of 26/34 and its additive inverse is always 0.
- The distance between 26/34 and its additive inverse on a number line is: 52
Applications in Algebra
Consider the equation: x + 26/34 = 0
The solution to this equation is x = -26/34, which is the additive inverse of 26/34.
Graphical Representation
On a coordinate plane:
- The point (26/34, 0) is reflected across the y-axis to (-26/34, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 26/34 and Its Additive Inverse
Consider the alternating series: 26/34 + (-26/34) + 26/34 + (-26/34) + ...
The sum of this series oscillates between 0 and 26/34, never converging unless 26/34 is 0.
In Number Theory
For integer values:
- If 26/34 is even, its additive inverse is also even.
- If 26/34 is odd, its additive inverse is also odd.
- The sum of the digits of 26/34 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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