15/22 Additive Inverse :
The additive inverse of 15/22 is -15/22.
This means that when we add 15/22 and -15/22, the result is zero:
15/22 + (-15/22) = 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: 15/22
- Additive inverse: -15/22
To verify: 15/22 + (-15/22) = 0
Extended Mathematical Exploration of 15/22
Let's explore various mathematical operations and concepts related to 15/22 and its additive inverse -15/22.
Basic Operations and Properties
- Square of 15/22: 0.46487603305785
- Cube of 15/22: 0.31696093163035
- Square root of |15/22|: 0.82572282384477
- Reciprocal of 15/22: 1.4666666666667
- Double of 15/22: 1.3636363636364
- Half of 15/22: 0.34090909090909
- Absolute value of 15/22: 0.68181818181818
Trigonometric Functions
- Sine of 15/22: 0.63020575249205
- Cosine of 15/22: 0.77642817409334
- Tangent of 15/22: 0.81167295767952
Exponential and Logarithmic Functions
- e^15/22: 1.9774698654206
- Natural log of 15/22: -0.38299225225611
Floor and Ceiling Functions
- Floor of 15/22: 0
- Ceiling of 15/22: 1
Interesting Properties and Relationships
- The sum of 15/22 and its additive inverse (-15/22) is always 0.
- The product of 15/22 and its additive inverse is: -225
- The average of 15/22 and its additive inverse is always 0.
- The distance between 15/22 and its additive inverse on a number line is: 30
Applications in Algebra
Consider the equation: x + 15/22 = 0
The solution to this equation is x = -15/22, which is the additive inverse of 15/22.
Graphical Representation
On a coordinate plane:
- The point (15/22, 0) is reflected across the y-axis to (-15/22, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15/22 and Its Additive Inverse
Consider the alternating series: 15/22 + (-15/22) + 15/22 + (-15/22) + ...
The sum of this series oscillates between 0 and 15/22, never converging unless 15/22 is 0.
In Number Theory
For integer values:
- If 15/22 is even, its additive inverse is also even.
- If 15/22 is odd, its additive inverse is also odd.
- The sum of the digits of 15/22 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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