6/20 Additive Inverse :
The additive inverse of 6/20 is -6/20.
This means that when we add 6/20 and -6/20, the result is zero:
6/20 + (-6/20) = 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: 6/20
- Additive inverse: -6/20
To verify: 6/20 + (-6/20) = 0
Extended Mathematical Exploration of 6/20
Let's explore various mathematical operations and concepts related to 6/20 and its additive inverse -6/20.
Basic Operations and Properties
- Square of 6/20: 0.09
- Cube of 6/20: 0.027
- Square root of |6/20|: 0.54772255750517
- Reciprocal of 6/20: 3.3333333333333
- Double of 6/20: 0.6
- Half of 6/20: 0.15
- Absolute value of 6/20: 0.3
Trigonometric Functions
- Sine of 6/20: 0.29552020666134
- Cosine of 6/20: 0.95533648912561
- Tangent of 6/20: 0.30933624960962
Exponential and Logarithmic Functions
- e^6/20: 1.349858807576
- Natural log of 6/20: -1.2039728043259
Floor and Ceiling Functions
- Floor of 6/20: 0
- Ceiling of 6/20: 1
Interesting Properties and Relationships
- The sum of 6/20 and its additive inverse (-6/20) is always 0.
- The product of 6/20 and its additive inverse is: -36
- The average of 6/20 and its additive inverse is always 0.
- The distance between 6/20 and its additive inverse on a number line is: 12
Applications in Algebra
Consider the equation: x + 6/20 = 0
The solution to this equation is x = -6/20, which is the additive inverse of 6/20.
Graphical Representation
On a coordinate plane:
- The point (6/20, 0) is reflected across the y-axis to (-6/20, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 6/20 and Its Additive Inverse
Consider the alternating series: 6/20 + (-6/20) + 6/20 + (-6/20) + ...
The sum of this series oscillates between 0 and 6/20, never converging unless 6/20 is 0.
In Number Theory
For integer values:
- If 6/20 is even, its additive inverse is also even.
- If 6/20 is odd, its additive inverse is also odd.
- The sum of the digits of 6/20 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
Enter a number (whole number, decimal, or fraction) to find its additive inverse: