13/27 Additive Inverse :
The additive inverse of 13/27 is -13/27.
This means that when we add 13/27 and -13/27, the result is zero:
13/27 + (-13/27) = 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: 13/27
- Additive inverse: -13/27
To verify: 13/27 + (-13/27) = 0
Extended Mathematical Exploration of 13/27
Let's explore various mathematical operations and concepts related to 13/27 and its additive inverse -13/27.
Basic Operations and Properties
- Square of 13/27: 0.2318244170096
- Cube of 13/27: 0.11161916374536
- Square root of |13/27|: 0.69388866648871
- Reciprocal of 13/27: 2.0769230769231
- Double of 13/27: 0.96296296296296
- Half of 13/27: 0.24074074074074
- Absolute value of 13/27: 0.48148148148148
Trigonometric Functions
- Sine of 13/27: 0.46309273485961
- Cosine of 13/27: 0.88630983234998
- Tangent of 13/27: 0.522495314795
Exponential and Logarithmic Functions
- e^13/27: 1.6184703608384
- Natural log of 13/27: -0.73088750854279
Floor and Ceiling Functions
- Floor of 13/27: 0
- Ceiling of 13/27: 1
Interesting Properties and Relationships
- The sum of 13/27 and its additive inverse (-13/27) is always 0.
- The product of 13/27 and its additive inverse is: -169
- The average of 13/27 and its additive inverse is always 0.
- The distance between 13/27 and its additive inverse on a number line is: 26
Applications in Algebra
Consider the equation: x + 13/27 = 0
The solution to this equation is x = -13/27, which is the additive inverse of 13/27.
Graphical Representation
On a coordinate plane:
- The point (13/27, 0) is reflected across the y-axis to (-13/27, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13/27 and Its Additive Inverse
Consider the alternating series: 13/27 + (-13/27) + 13/27 + (-13/27) + ...
The sum of this series oscillates between 0 and 13/27, never converging unless 13/27 is 0.
In Number Theory
For integer values:
- If 13/27 is even, its additive inverse is also even.
- If 13/27 is odd, its additive inverse is also odd.
- The sum of the digits of 13/27 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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