11/20 Additive Inverse :
The additive inverse of 11/20 is -11/20.
This means that when we add 11/20 and -11/20, the result is zero:
11/20 + (-11/20) = 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: 11/20
- Additive inverse: -11/20
To verify: 11/20 + (-11/20) = 0
Extended Mathematical Exploration of 11/20
Let's explore various mathematical operations and concepts related to 11/20 and its additive inverse -11/20.
Basic Operations and Properties
- Square of 11/20: 0.3025
- Cube of 11/20: 0.166375
- Square root of |11/20|: 0.74161984870957
- Reciprocal of 11/20: 1.8181818181818
- Double of 11/20: 1.1
- Half of 11/20: 0.275
- Absolute value of 11/20: 0.55
Trigonometric Functions
- Sine of 11/20: 0.52268722893066
- Cosine of 11/20: 0.85252452205951
- Tangent of 11/20: 0.61310521328814
Exponential and Logarithmic Functions
- e^11/20: 1.7332530178674
- Natural log of 11/20: -0.59783700075562
Floor and Ceiling Functions
- Floor of 11/20: 0
- Ceiling of 11/20: 1
Interesting Properties and Relationships
- The sum of 11/20 and its additive inverse (-11/20) is always 0.
- The product of 11/20 and its additive inverse is: -121
- The average of 11/20 and its additive inverse is always 0.
- The distance between 11/20 and its additive inverse on a number line is: 22
Applications in Algebra
Consider the equation: x + 11/20 = 0
The solution to this equation is x = -11/20, which is the additive inverse of 11/20.
Graphical Representation
On a coordinate plane:
- The point (11/20, 0) is reflected across the y-axis to (-11/20, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 11/20 and Its Additive Inverse
Consider the alternating series: 11/20 + (-11/20) + 11/20 + (-11/20) + ...
The sum of this series oscillates between 0 and 11/20, never converging unless 11/20 is 0.
In Number Theory
For integer values:
- If 11/20 is even, its additive inverse is also even.
- If 11/20 is odd, its additive inverse is also odd.
- The sum of the digits of 11/20 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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