11/24 Additive Inverse :
The additive inverse of 11/24 is -11/24.
This means that when we add 11/24 and -11/24, the result is zero:
11/24 + (-11/24) = 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: 11/24
- Additive inverse: -11/24
To verify: 11/24 + (-11/24) = 0
Extended Mathematical Exploration of 11/24
Let's explore various mathematical operations and concepts related to 11/24 and its additive inverse -11/24.
Basic Operations and Properties
- Square of 11/24: 0.21006944444444
- Cube of 11/24: 0.096281828703704
- Square root of |11/24|: 0.67700320038633
- Reciprocal of 11/24: 2.1818181818182
- Double of 11/24: 0.91666666666667
- Half of 11/24: 0.22916666666667
- Absolute value of 11/24: 0.45833333333333
Trigonometric Functions
- Sine of 11/24: 0.44245407023326
- Cosine of 11/24: 0.89679116617751
- Tangent of 11/24: 0.49337469738822
Exponential and Logarithmic Functions
- e^11/24: 1.5814360605671
- Natural log of 11/24: -0.78015855754958
Floor and Ceiling Functions
- Floor of 11/24: 0
- Ceiling of 11/24: 1
Interesting Properties and Relationships
- The sum of 11/24 and its additive inverse (-11/24) is always 0.
- The product of 11/24 and its additive inverse is: -121
- The average of 11/24 and its additive inverse is always 0.
- The distance between 11/24 and its additive inverse on a number line is: 22
Applications in Algebra
Consider the equation: x + 11/24 = 0
The solution to this equation is x = -11/24, which is the additive inverse of 11/24.
Graphical Representation
On a coordinate plane:
- The point (11/24, 0) is reflected across the y-axis to (-11/24, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 11/24 and Its Additive Inverse
Consider the alternating series: 11/24 + (-11/24) + 11/24 + (-11/24) + ...
The sum of this series oscillates between 0 and 11/24, never converging unless 11/24 is 0.
In Number Theory
For integer values:
- If 11/24 is even, its additive inverse is also even.
- If 11/24 is odd, its additive inverse is also odd.
- The sum of the digits of 11/24 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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