20/27 Additive Inverse :
The additive inverse of 20/27 is -20/27.
This means that when we add 20/27 and -20/27, the result is zero:
20/27 + (-20/27) = 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: 20/27
- Additive inverse: -20/27
To verify: 20/27 + (-20/27) = 0
Extended Mathematical Exploration of 20/27
Let's explore various mathematical operations and concepts related to 20/27 and its additive inverse -20/27.
Basic Operations and Properties
- Square of 20/27: 0.54869684499314
- Cube of 20/27: 0.40644210740233
- Square root of |20/27|: 0.86066296582387
- Reciprocal of 20/27: 1.35
- Double of 20/27: 1.4814814814815
- Half of 20/27: 0.37037037037037
- Absolute value of 20/27: 0.74074074074074
Trigonometric Functions
- Sine of 20/27: 0.67483474033551
- Cosine of 20/27: 0.73796888365046
- Tangent of 20/27: 0.91444877322924
Exponential and Logarithmic Functions
- e^20/27: 2.0974886344785
- Natural log of 20/27: -0.30010459245034
Floor and Ceiling Functions
- Floor of 20/27: 0
- Ceiling of 20/27: 1
Interesting Properties and Relationships
- The sum of 20/27 and its additive inverse (-20/27) is always 0.
- The product of 20/27 and its additive inverse is: -400
- The average of 20/27 and its additive inverse is always 0.
- The distance between 20/27 and its additive inverse on a number line is: 40
Applications in Algebra
Consider the equation: x + 20/27 = 0
The solution to this equation is x = -20/27, which is the additive inverse of 20/27.
Graphical Representation
On a coordinate plane:
- The point (20/27, 0) is reflected across the y-axis to (-20/27, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 20/27 and Its Additive Inverse
Consider the alternating series: 20/27 + (-20/27) + 20/27 + (-20/27) + ...
The sum of this series oscillates between 0 and 20/27, never converging unless 20/27 is 0.
In Number Theory
For integer values:
- If 20/27 is even, its additive inverse is also even.
- If 20/27 is odd, its additive inverse is also odd.
- The sum of the digits of 20/27 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: