26/38 Additive Inverse :
The additive inverse of 26/38 is -26/38.
This means that when we add 26/38 and -26/38, the result is zero:
26/38 + (-26/38) = 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: 26/38
- Additive inverse: -26/38
To verify: 26/38 + (-26/38) = 0
Extended Mathematical Exploration of 26/38
Let's explore various mathematical operations and concepts related to 26/38 and its additive inverse -26/38.
Basic Operations and Properties
- Square of 26/38: 0.46814404432133
- Cube of 26/38: 0.3203090829567
- Square root of |26/38|: 0.82717019186851
- Reciprocal of 26/38: 1.4615384615385
- Double of 26/38: 1.3684210526316
- Half of 26/38: 0.34210526315789
- Absolute value of 26/38: 0.68421052631579
Trigonometric Functions
- Sine of 26/38: 0.63206143095903
- Cosine of 26/38: 0.77491828439779
- Tangent of 26/38: 0.81564913834782
Exponential and Logarithmic Functions
- e^26/38: 1.9822063179263
- Natural log of 26/38: -0.3794896217049
Floor and Ceiling Functions
- Floor of 26/38: 0
- Ceiling of 26/38: 1
Interesting Properties and Relationships
- The sum of 26/38 and its additive inverse (-26/38) is always 0.
- The product of 26/38 and its additive inverse is: -676
- The average of 26/38 and its additive inverse is always 0.
- The distance between 26/38 and its additive inverse on a number line is: 52
Applications in Algebra
Consider the equation: x + 26/38 = 0
The solution to this equation is x = -26/38, which is the additive inverse of 26/38.
Graphical Representation
On a coordinate plane:
- The point (26/38, 0) is reflected across the y-axis to (-26/38, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 26/38 and Its Additive Inverse
Consider the alternating series: 26/38 + (-26/38) + 26/38 + (-26/38) + ...
The sum of this series oscillates between 0 and 26/38, never converging unless 26/38 is 0.
In Number Theory
For integer values:
- If 26/38 is even, its additive inverse is also even.
- If 26/38 is odd, its additive inverse is also odd.
- The sum of the digits of 26/38 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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