8/18 Additive Inverse :
The additive inverse of 8/18 is -8/18.
This means that when we add 8/18 and -8/18, the result is zero:
8/18 + (-8/18) = 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: 8/18
- Additive inverse: -8/18
To verify: 8/18 + (-8/18) = 0
Extended Mathematical Exploration of 8/18
Let's explore various mathematical operations and concepts related to 8/18 and its additive inverse -8/18.
Basic Operations and Properties
- Square of 8/18: 0.19753086419753
- Cube of 8/18: 0.087791495198903
- Square root of |8/18|: 0.66666666666667
- Reciprocal of 8/18: 2.25
- Double of 8/18: 0.88888888888889
- Half of 8/18: 0.22222222222222
- Absolute value of 8/18: 0.44444444444444
Trigonometric Functions
- Sine of 8/18: 0.42995636352836
- Cosine of 8/18: 0.9028496693589
- Tangent of 8/18: 0.47622143322449
Exponential and Logarithmic Functions
- e^8/18: 1.5596234976068
- Natural log of 8/18: -0.81093021621633
Floor and Ceiling Functions
- Floor of 8/18: 0
- Ceiling of 8/18: 1
Interesting Properties and Relationships
- The sum of 8/18 and its additive inverse (-8/18) is always 0.
- The product of 8/18 and its additive inverse is: -64
- The average of 8/18 and its additive inverse is always 0.
- The distance between 8/18 and its additive inverse on a number line is: 16
Applications in Algebra
Consider the equation: x + 8/18 = 0
The solution to this equation is x = -8/18, which is the additive inverse of 8/18.
Graphical Representation
On a coordinate plane:
- The point (8/18, 0) is reflected across the y-axis to (-8/18, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 8/18 and Its Additive Inverse
Consider the alternating series: 8/18 + (-8/18) + 8/18 + (-8/18) + ...
The sum of this series oscillates between 0 and 8/18, never converging unless 8/18 is 0.
In Number Theory
For integer values:
- If 8/18 is even, its additive inverse is also even.
- If 8/18 is odd, its additive inverse is also odd.
- The sum of the digits of 8/18 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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