2/15 Additive Inverse :
The additive inverse of 2/15 is -2/15.
This means that when we add 2/15 and -2/15, the result is zero:
2/15 + (-2/15) = 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: 2/15
- Additive inverse: -2/15
To verify: 2/15 + (-2/15) = 0
Extended Mathematical Exploration of 2/15
Let's explore various mathematical operations and concepts related to 2/15 and its additive inverse -2/15.
Basic Operations and Properties
- Square of 2/15: 0.017777777777778
- Cube of 2/15: 0.0023703703703704
- Square root of |2/15|: 0.36514837167011
- Reciprocal of 2/15: 7.5
- Double of 2/15: 0.26666666666667
- Half of 2/15: 0.066666666666667
- Absolute value of 2/15: 0.13333333333333
Trigonometric Functions
- Sine of 2/15: 0.13293862262231
- Cosine of 2/15: 0.99112427203418
- Tangent of 2/15: 0.13412911616973
Exponential and Logarithmic Functions
- e^2/15: 1.1426308117957
- Natural log of 2/15: -2.0149030205423
Floor and Ceiling Functions
- Floor of 2/15: 0
- Ceiling of 2/15: 1
Interesting Properties and Relationships
- The sum of 2/15 and its additive inverse (-2/15) is always 0.
- The product of 2/15 and its additive inverse is: -4
- The average of 2/15 and its additive inverse is always 0.
- The distance between 2/15 and its additive inverse on a number line is: 4
Applications in Algebra
Consider the equation: x + 2/15 = 0
The solution to this equation is x = -2/15, which is the additive inverse of 2/15.
Graphical Representation
On a coordinate plane:
- The point (2/15, 0) is reflected across the y-axis to (-2/15, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 2/15 and Its Additive Inverse
Consider the alternating series: 2/15 + (-2/15) + 2/15 + (-2/15) + ...
The sum of this series oscillates between 0 and 2/15, never converging unless 2/15 is 0.
In Number Theory
For integer values:
- If 2/15 is even, its additive inverse is also even.
- If 2/15 is odd, its additive inverse is also odd.
- The sum of the digits of 2/15 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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