11/15 Additive Inverse :
The additive inverse of 11/15 is -11/15.
This means that when we add 11/15 and -11/15, the result is zero:
11/15 + (-11/15) = 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: 11/15
- Additive inverse: -11/15
To verify: 11/15 + (-11/15) = 0
Extended Mathematical Exploration of 11/15
Let's explore various mathematical operations and concepts related to 11/15 and its additive inverse -11/15.
Basic Operations and Properties
- Square of 11/15: 0.53777777777778
- Cube of 11/15: 0.39437037037037
- Square root of |11/15|: 0.85634883857768
- Reciprocal of 11/15: 1.3636363636364
- Double of 11/15: 1.4666666666667
- Half of 11/15: 0.36666666666667
- Absolute value of 11/15: 0.73333333333333
Trigonometric Functions
- Sine of 11/15: 0.66934984025047
- Cosine of 11/15: 0.74294736782404
- Tangent of 11/15: 0.9009384368786
Exponential and Logarithmic Functions
- e^11/15: 2.0820090840785
- Natural log of 11/15: -0.31015492830384
Floor and Ceiling Functions
- Floor of 11/15: 0
- Ceiling of 11/15: 1
Interesting Properties and Relationships
- The sum of 11/15 and its additive inverse (-11/15) is always 0.
- The product of 11/15 and its additive inverse is: -121
- The average of 11/15 and its additive inverse is always 0.
- The distance between 11/15 and its additive inverse on a number line is: 22
Applications in Algebra
Consider the equation: x + 11/15 = 0
The solution to this equation is x = -11/15, which is the additive inverse of 11/15.
Graphical Representation
On a coordinate plane:
- The point (11/15, 0) is reflected across the y-axis to (-11/15, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 11/15 and Its Additive Inverse
Consider the alternating series: 11/15 + (-11/15) + 11/15 + (-11/15) + ...
The sum of this series oscillates between 0 and 11/15, never converging unless 11/15 is 0.
In Number Theory
For integer values:
- If 11/15 is even, its additive inverse is also even.
- If 11/15 is odd, its additive inverse is also odd.
- The sum of the digits of 11/15 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: