20/33 Additive Inverse :
The additive inverse of 20/33 is -20/33.
This means that when we add 20/33 and -20/33, the result is zero:
20/33 + (-20/33) = 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: 20/33
- Additive inverse: -20/33
To verify: 20/33 + (-20/33) = 0
Extended Mathematical Exploration of 20/33
Let's explore various mathematical operations and concepts related to 20/33 and its additive inverse -20/33.
Basic Operations and Properties
- Square of 20/33: 0.36730945821855
- Cube of 20/33: 0.22261179285973
- Square root of |20/33|: 0.77849894416152
- Reciprocal of 20/33: 1.65
- Double of 20/33: 1.2121212121212
- Half of 20/33: 0.3030303030303
- Absolute value of 20/33: 0.60606060606061
Trigonometric Functions
- Sine of 20/33: 0.56963410690897
- Cosine of 20/33: 0.82189840263017
- Tangent of 20/33: 0.69307119357584
Exponential and Logarithmic Functions
- e^20/33: 1.8331954764155
- Natural log of 20/33: -0.50077528791249
Floor and Ceiling Functions
- Floor of 20/33: 0
- Ceiling of 20/33: 1
Interesting Properties and Relationships
- The sum of 20/33 and its additive inverse (-20/33) is always 0.
- The product of 20/33 and its additive inverse is: -400
- The average of 20/33 and its additive inverse is always 0.
- The distance between 20/33 and its additive inverse on a number line is: 40
Applications in Algebra
Consider the equation: x + 20/33 = 0
The solution to this equation is x = -20/33, which is the additive inverse of 20/33.
Graphical Representation
On a coordinate plane:
- The point (20/33, 0) is reflected across the y-axis to (-20/33, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 20/33 and Its Additive Inverse
Consider the alternating series: 20/33 + (-20/33) + 20/33 + (-20/33) + ...
The sum of this series oscillates between 0 and 20/33, never converging unless 20/33 is 0.
In Number Theory
For integer values:
- If 20/33 is even, its additive inverse is also even.
- If 20/33 is odd, its additive inverse is also odd.
- The sum of the digits of 20/33 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: