14/26 Additive Inverse :
The additive inverse of 14/26 is -14/26.
This means that when we add 14/26 and -14/26, the result is zero:
14/26 + (-14/26) = 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: 14/26
- Additive inverse: -14/26
To verify: 14/26 + (-14/26) = 0
Extended Mathematical Exploration of 14/26
Let's explore various mathematical operations and concepts related to 14/26 and its additive inverse -14/26.
Basic Operations and Properties
- Square of 14/26: 0.28994082840237
- Cube of 14/26: 0.15612198452435
- Square root of |14/26|: 0.73379938570534
- Reciprocal of 14/26: 1.8571428571429
- Double of 14/26: 1.0769230769231
- Half of 14/26: 0.26923076923077
- Absolute value of 14/26: 0.53846153846154
Trigonometric Functions
- Sine of 14/26: 0.51281583191132
- Cosine of 14/26: 0.85849864446084
- Tangent of 14/26: 0.59734029310365
Exponential and Logarithmic Functions
- e^14/26: 1.713368881364
- Natural log of 14/26: -0.61903920840622
Floor and Ceiling Functions
- Floor of 14/26: 0
- Ceiling of 14/26: 1
Interesting Properties and Relationships
- The sum of 14/26 and its additive inverse (-14/26) is always 0.
- The product of 14/26 and its additive inverse is: -196
- The average of 14/26 and its additive inverse is always 0.
- The distance between 14/26 and its additive inverse on a number line is: 28
Applications in Algebra
Consider the equation: x + 14/26 = 0
The solution to this equation is x = -14/26, which is the additive inverse of 14/26.
Graphical Representation
On a coordinate plane:
- The point (14/26, 0) is reflected across the y-axis to (-14/26, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 14/26 and Its Additive Inverse
Consider the alternating series: 14/26 + (-14/26) + 14/26 + (-14/26) + ...
The sum of this series oscillates between 0 and 14/26, never converging unless 14/26 is 0.
In Number Theory
For integer values:
- If 14/26 is even, its additive inverse is also even.
- If 14/26 is odd, its additive inverse is also odd.
- The sum of the digits of 14/26 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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