18/20 Additive Inverse :
The additive inverse of 18/20 is -18/20.
This means that when we add 18/20 and -18/20, the result is zero:
18/20 + (-18/20) = 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: 18/20
- Additive inverse: -18/20
To verify: 18/20 + (-18/20) = 0
Extended Mathematical Exploration of 18/20
Let's explore various mathematical operations and concepts related to 18/20 and its additive inverse -18/20.
Basic Operations and Properties
- Square of 18/20: 0.81
- Cube of 18/20: 0.729
- Square root of |18/20|: 0.94868329805051
- Reciprocal of 18/20: 1.1111111111111
- Double of 18/20: 1.8
- Half of 18/20: 0.45
- Absolute value of 18/20: 0.9
Trigonometric Functions
- Sine of 18/20: 0.78332690962748
- Cosine of 18/20: 0.62160996827066
- Tangent of 18/20: 1.2601582175503
Exponential and Logarithmic Functions
- e^18/20: 2.4596031111569
- Natural log of 18/20: -0.10536051565783
Floor and Ceiling Functions
- Floor of 18/20: 0
- Ceiling of 18/20: 1
Interesting Properties and Relationships
- The sum of 18/20 and its additive inverse (-18/20) is always 0.
- The product of 18/20 and its additive inverse is: -324
- The average of 18/20 and its additive inverse is always 0.
- The distance between 18/20 and its additive inverse on a number line is: 36
Applications in Algebra
Consider the equation: x + 18/20 = 0
The solution to this equation is x = -18/20, which is the additive inverse of 18/20.
Graphical Representation
On a coordinate plane:
- The point (18/20, 0) is reflected across the y-axis to (-18/20, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 18/20 and Its Additive Inverse
Consider the alternating series: 18/20 + (-18/20) + 18/20 + (-18/20) + ...
The sum of this series oscillates between 0 and 18/20, never converging unless 18/20 is 0.
In Number Theory
For integer values:
- If 18/20 is even, its additive inverse is also even.
- If 18/20 is odd, its additive inverse is also odd.
- The sum of the digits of 18/20 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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