14/18 Additive Inverse :
The additive inverse of 14/18 is -14/18.
This means that when we add 14/18 and -14/18, the result is zero:
14/18 + (-14/18) = 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: 14/18
- Additive inverse: -14/18
To verify: 14/18 + (-14/18) = 0
Extended Mathematical Exploration of 14/18
Let's explore various mathematical operations and concepts related to 14/18 and its additive inverse -14/18.
Basic Operations and Properties
- Square of 14/18: 0.60493827160494
- Cube of 14/18: 0.47050754458162
- Square root of |14/18|: 0.8819171036882
- Reciprocal of 14/18: 1.2857142857143
- Double of 14/18: 1.5555555555556
- Half of 14/18: 0.38888888888889
- Absolute value of 14/18: 0.77777777777778
Trigonometric Functions
- Sine of 14/18: 0.70169787614674
- Cosine of 14/18: 0.71247462453842
- Tangent of 14/18: 0.98487420039883
Exponential and Logarithmic Functions
- e^14/18: 2.1766299317162
- Natural log of 14/18: -0.25131442828091
Floor and Ceiling Functions
- Floor of 14/18: 0
- Ceiling of 14/18: 1
Interesting Properties and Relationships
- The sum of 14/18 and its additive inverse (-14/18) is always 0.
- The product of 14/18 and its additive inverse is: -196
- The average of 14/18 and its additive inverse is always 0.
- The distance between 14/18 and its additive inverse on a number line is: 28
Applications in Algebra
Consider the equation: x + 14/18 = 0
The solution to this equation is x = -14/18, which is the additive inverse of 14/18.
Graphical Representation
On a coordinate plane:
- The point (14/18, 0) is reflected across the y-axis to (-14/18, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 14/18 and Its Additive Inverse
Consider the alternating series: 14/18 + (-14/18) + 14/18 + (-14/18) + ...
The sum of this series oscillates between 0 and 14/18, never converging unless 14/18 is 0.
In Number Theory
For integer values:
- If 14/18 is even, its additive inverse is also even.
- If 14/18 is odd, its additive inverse is also odd.
- The sum of the digits of 14/18 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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