26/40 Additive Inverse :
The additive inverse of 26/40 is -26/40.
This means that when we add 26/40 and -26/40, the result is zero:
26/40 + (-26/40) = 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: 26/40
- Additive inverse: -26/40
To verify: 26/40 + (-26/40) = 0
Extended Mathematical Exploration of 26/40
Let's explore various mathematical operations and concepts related to 26/40 and its additive inverse -26/40.
Basic Operations and Properties
- Square of 26/40: 0.4225
- Cube of 26/40: 0.274625
- Square root of |26/40|: 0.80622577482986
- Reciprocal of 26/40: 1.5384615384615
- Double of 26/40: 1.3
- Half of 26/40: 0.325
- Absolute value of 26/40: 0.65
Trigonometric Functions
- Sine of 26/40: 0.60518640573604
- Cosine of 26/40: 0.79608379854906
- Tangent of 26/40: 0.76020439913368
Exponential and Logarithmic Functions
- e^26/40: 1.9155408290139
- Natural log of 26/40: -0.43078291609245
Floor and Ceiling Functions
- Floor of 26/40: 0
- Ceiling of 26/40: 1
Interesting Properties and Relationships
- The sum of 26/40 and its additive inverse (-26/40) is always 0.
- The product of 26/40 and its additive inverse is: -676
- The average of 26/40 and its additive inverse is always 0.
- The distance between 26/40 and its additive inverse on a number line is: 52
Applications in Algebra
Consider the equation: x + 26/40 = 0
The solution to this equation is x = -26/40, which is the additive inverse of 26/40.
Graphical Representation
On a coordinate plane:
- The point (26/40, 0) is reflected across the y-axis to (-26/40, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 26/40 and Its Additive Inverse
Consider the alternating series: 26/40 + (-26/40) + 26/40 + (-26/40) + ...
The sum of this series oscillates between 0 and 26/40, never converging unless 26/40 is 0.
In Number Theory
For integer values:
- If 26/40 is even, its additive inverse is also even.
- If 26/40 is odd, its additive inverse is also odd.
- The sum of the digits of 26/40 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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