2/11 Additive Inverse :
The additive inverse of 2/11 is -2/11.
This means that when we add 2/11 and -2/11, the result is zero:
2/11 + (-2/11) = 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: 2/11
- Additive inverse: -2/11
To verify: 2/11 + (-2/11) = 0
Extended Mathematical Exploration of 2/11
Let's explore various mathematical operations and concepts related to 2/11 and its additive inverse -2/11.
Basic Operations and Properties
- Square of 2/11: 0.033057851239669
- Cube of 2/11: 0.0060105184072126
- Square root of |2/11|: 0.42640143271122
- Reciprocal of 2/11: 5.5
- Double of 2/11: 0.36363636363636
- Half of 2/11: 0.090909090909091
- Absolute value of 2/11: 0.18181818181818
Trigonometric Functions
- Sine of 2/11: 0.18081808323785
- Cosine of 2/11: 0.98351655846467
- Tangent of 2/11: 0.18384853989659
Exponential and Logarithmic Functions
- e^2/11: 1.1993961020354
- Natural log of 2/11: -1.7047480922384
Floor and Ceiling Functions
- Floor of 2/11: 0
- Ceiling of 2/11: 1
Interesting Properties and Relationships
- The sum of 2/11 and its additive inverse (-2/11) is always 0.
- The product of 2/11 and its additive inverse is: -4
- The average of 2/11 and its additive inverse is always 0.
- The distance between 2/11 and its additive inverse on a number line is: 4
Applications in Algebra
Consider the equation: x + 2/11 = 0
The solution to this equation is x = -2/11, which is the additive inverse of 2/11.
Graphical Representation
On a coordinate plane:
- The point (2/11, 0) is reflected across the y-axis to (-2/11, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 2/11 and Its Additive Inverse
Consider the alternating series: 2/11 + (-2/11) + 2/11 + (-2/11) + ...
The sum of this series oscillates between 0 and 2/11, never converging unless 2/11 is 0.
In Number Theory
For integer values:
- If 2/11 is even, its additive inverse is also even.
- If 2/11 is odd, its additive inverse is also odd.
- The sum of the digits of 2/11 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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