11/25 Additive Inverse :
The additive inverse of 11/25 is -11/25.
This means that when we add 11/25 and -11/25, the result is zero:
11/25 + (-11/25) = 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: 11/25
- Additive inverse: -11/25
To verify: 11/25 + (-11/25) = 0
Extended Mathematical Exploration of 11/25
Let's explore various mathematical operations and concepts related to 11/25 and its additive inverse -11/25.
Basic Operations and Properties
- Square of 11/25: 0.1936
- Cube of 11/25: 0.085184
- Square root of |11/25|: 0.66332495807108
- Reciprocal of 11/25: 2.2727272727273
- Double of 11/25: 0.88
- Half of 11/25: 0.22
- Absolute value of 11/25: 0.44
Trigonometric Functions
- Sine of 11/25: 0.425939465066
- Cosine of 11/25: 0.90475166321996
- Tangent of 11/25: 0.47078052727762
Exponential and Logarithmic Functions
- e^11/25: 1.5527072185113
- Natural log of 11/25: -0.82098055206983
Floor and Ceiling Functions
- Floor of 11/25: 0
- Ceiling of 11/25: 1
Interesting Properties and Relationships
- The sum of 11/25 and its additive inverse (-11/25) is always 0.
- The product of 11/25 and its additive inverse is: -121
- The average of 11/25 and its additive inverse is always 0.
- The distance between 11/25 and its additive inverse on a number line is: 22
Applications in Algebra
Consider the equation: x + 11/25 = 0
The solution to this equation is x = -11/25, which is the additive inverse of 11/25.
Graphical Representation
On a coordinate plane:
- The point (11/25, 0) is reflected across the y-axis to (-11/25, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 11/25 and Its Additive Inverse
Consider the alternating series: 11/25 + (-11/25) + 11/25 + (-11/25) + ...
The sum of this series oscillates between 0 and 11/25, never converging unless 11/25 is 0.
In Number Theory
For integer values:
- If 11/25 is even, its additive inverse is also even.
- If 11/25 is odd, its additive inverse is also odd.
- The sum of the digits of 11/25 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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