5/15 Additive Inverse :
The additive inverse of 5/15 is -5/15.
This means that when we add 5/15 and -5/15, the result is zero:
5/15 + (-5/15) = 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: 5/15
- Additive inverse: -5/15
To verify: 5/15 + (-5/15) = 0
Extended Mathematical Exploration of 5/15
Let's explore various mathematical operations and concepts related to 5/15 and its additive inverse -5/15.
Basic Operations and Properties
- Square of 5/15: 0.11111111111111
- Cube of 5/15: 0.037037037037037
- Square root of |5/15|: 0.57735026918963
- Reciprocal of 5/15: 3
- Double of 5/15: 0.66666666666667
- Half of 5/15: 0.16666666666667
- Absolute value of 5/15: 0.33333333333333
Trigonometric Functions
- Sine of 5/15: 0.32719469679615
- Cosine of 5/15: 0.94495694631474
- Tangent of 5/15: 0.34625354951058
Exponential and Logarithmic Functions
- e^5/15: 1.3956124250861
- Natural log of 5/15: -1.0986122886681
Floor and Ceiling Functions
- Floor of 5/15: 0
- Ceiling of 5/15: 1
Interesting Properties and Relationships
- The sum of 5/15 and its additive inverse (-5/15) is always 0.
- The product of 5/15 and its additive inverse is: -25
- The average of 5/15 and its additive inverse is always 0.
- The distance between 5/15 and its additive inverse on a number line is: 10
Applications in Algebra
Consider the equation: x + 5/15 = 0
The solution to this equation is x = -5/15, which is the additive inverse of 5/15.
Graphical Representation
On a coordinate plane:
- The point (5/15, 0) is reflected across the y-axis to (-5/15, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 5/15 and Its Additive Inverse
Consider the alternating series: 5/15 + (-5/15) + 5/15 + (-5/15) + ...
The sum of this series oscillates between 0 and 5/15, never converging unless 5/15 is 0.
In Number Theory
For integer values:
- If 5/15 is even, its additive inverse is also even.
- If 5/15 is odd, its additive inverse is also odd.
- The sum of the digits of 5/15 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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