20/22 Additive Inverse :
The additive inverse of 20/22 is -20/22.
This means that when we add 20/22 and -20/22, the result is zero:
20/22 + (-20/22) = 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: 20/22
- Additive inverse: -20/22
To verify: 20/22 + (-20/22) = 0
Extended Mathematical Exploration of 20/22
Let's explore various mathematical operations and concepts related to 20/22 and its additive inverse -20/22.
Basic Operations and Properties
- Square of 20/22: 0.82644628099174
- Cube of 20/22: 0.75131480090158
- Square root of |20/22|: 0.95346258924559
- Reciprocal of 20/22: 1.1
- Double of 20/22: 1.8181818181818
- Half of 20/22: 0.45454545454545
- Absolute value of 20/22: 0.90909090909091
Trigonometric Functions
- Sine of 20/22: 0.78894546284426
- Cosine of 20/22: 0.61446322644847
- Tangent of 20/22: 1.2839587934404
Exponential and Logarithmic Functions
- e^20/22: 2.482065084623
- Natural log of 20/22: -0.095310179804325
Floor and Ceiling Functions
- Floor of 20/22: 0
- Ceiling of 20/22: 1
Interesting Properties and Relationships
- The sum of 20/22 and its additive inverse (-20/22) is always 0.
- The product of 20/22 and its additive inverse is: -400
- The average of 20/22 and its additive inverse is always 0.
- The distance between 20/22 and its additive inverse on a number line is: 40
Applications in Algebra
Consider the equation: x + 20/22 = 0
The solution to this equation is x = -20/22, which is the additive inverse of 20/22.
Graphical Representation
On a coordinate plane:
- The point (20/22, 0) is reflected across the y-axis to (-20/22, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 20/22 and Its Additive Inverse
Consider the alternating series: 20/22 + (-20/22) + 20/22 + (-20/22) + ...
The sum of this series oscillates between 0 and 20/22, never converging unless 20/22 is 0.
In Number Theory
For integer values:
- If 20/22 is even, its additive inverse is also even.
- If 20/22 is odd, its additive inverse is also odd.
- The sum of the digits of 20/22 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: