11/18 Additive Inverse :
The additive inverse of 11/18 is -11/18.
This means that when we add 11/18 and -11/18, the result is zero:
11/18 + (-11/18) = 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: 11/18
- Additive inverse: -11/18
To verify: 11/18 + (-11/18) = 0
Extended Mathematical Exploration of 11/18
Let's explore various mathematical operations and concepts related to 11/18 and its additive inverse -11/18.
Basic Operations and Properties
- Square of 11/18: 0.37345679012346
- Cube of 11/18: 0.22822359396433
- Square root of |11/18|: 0.78173595997057
- Reciprocal of 11/18: 1.6363636363636
- Double of 11/18: 1.2222222222222
- Half of 11/18: 0.30555555555556
- Absolute value of 11/18: 0.61111111111111
Trigonometric Functions
- Sine of 11/18: 0.57377782631107
- Cosine of 11/18: 0.81901099262082
- Tangent of 11/18: 0.70057402340228
Exponential and Logarithmic Functions
- e^11/18: 1.8424774590477
- Natural log of 11/18: -0.49247648509779
Floor and Ceiling Functions
- Floor of 11/18: 0
- Ceiling of 11/18: 1
Interesting Properties and Relationships
- The sum of 11/18 and its additive inverse (-11/18) is always 0.
- The product of 11/18 and its additive inverse is: -121
- The average of 11/18 and its additive inverse is always 0.
- The distance between 11/18 and its additive inverse on a number line is: 22
Applications in Algebra
Consider the equation: x + 11/18 = 0
The solution to this equation is x = -11/18, which is the additive inverse of 11/18.
Graphical Representation
On a coordinate plane:
- The point (11/18, 0) is reflected across the y-axis to (-11/18, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 11/18 and Its Additive Inverse
Consider the alternating series: 11/18 + (-11/18) + 11/18 + (-11/18) + ...
The sum of this series oscillates between 0 and 11/18, never converging unless 11/18 is 0.
In Number Theory
For integer values:
- If 11/18 is even, its additive inverse is also even.
- If 11/18 is odd, its additive inverse is also odd.
- The sum of the digits of 11/18 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: