18/26 Additive Inverse :
The additive inverse of 18/26 is -18/26.
This means that when we add 18/26 and -18/26, the result is zero:
18/26 + (-18/26) = 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: 18/26
- Additive inverse: -18/26
To verify: 18/26 + (-18/26) = 0
Extended Mathematical Exploration of 18/26
Let's explore various mathematical operations and concepts related to 18/26 and its additive inverse -18/26.
Basic Operations and Properties
- Square of 18/26: 0.4792899408284
- Cube of 18/26: 0.3318161128812
- Square root of |18/26|: 0.83205029433784
- Reciprocal of 18/26: 1.4444444444444
- Double of 18/26: 1.3846153846154
- Half of 18/26: 0.34615384615385
- Absolute value of 18/26: 0.69230769230769
Trigonometric Functions
- Sine of 18/26: 0.63831528421767
- Cosine of 18/26: 0.76977503072918
- Tangent of 18/26: 0.82922316097084
Exponential and Logarithmic Functions
- e^18/26: 1.9983217280389
- Natural log of 18/26: -0.36772478012532
Floor and Ceiling Functions
- Floor of 18/26: 0
- Ceiling of 18/26: 1
Interesting Properties and Relationships
- The sum of 18/26 and its additive inverse (-18/26) is always 0.
- The product of 18/26 and its additive inverse is: -324
- The average of 18/26 and its additive inverse is always 0.
- The distance between 18/26 and its additive inverse on a number line is: 36
Applications in Algebra
Consider the equation: x + 18/26 = 0
The solution to this equation is x = -18/26, which is the additive inverse of 18/26.
Graphical Representation
On a coordinate plane:
- The point (18/26, 0) is reflected across the y-axis to (-18/26, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 18/26 and Its Additive Inverse
Consider the alternating series: 18/26 + (-18/26) + 18/26 + (-18/26) + ...
The sum of this series oscillates between 0 and 18/26, never converging unless 18/26 is 0.
In Number Theory
For integer values:
- If 18/26 is even, its additive inverse is also even.
- If 18/26 is odd, its additive inverse is also odd.
- The sum of the digits of 18/26 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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