13/18 Additive Inverse :
The additive inverse of 13/18 is -13/18.
This means that when we add 13/18 and -13/18, the result is zero:
13/18 + (-13/18) = 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: 13/18
- Additive inverse: -13/18
To verify: 13/18 + (-13/18) = 0
Extended Mathematical Exploration of 13/18
Let's explore various mathematical operations and concepts related to 13/18 and its additive inverse -13/18.
Basic Operations and Properties
- Square of 13/18: 0.5216049382716
- Cube of 13/18: 0.3767146776406
- Square root of |13/18|: 0.8498365855988
- Reciprocal of 13/18: 1.3846153846154
- Double of 13/18: 1.4444444444444
- Half of 13/18: 0.36111111111111
- Absolute value of 13/18: 0.72222222222222
Trigonometric Functions
- Sine of 13/18: 0.66105372188489
- Cosine of 13/18: 0.75033857476618
- Tangent of 13/18: 0.88100724674976
Exponential and Logarithmic Functions
- e^13/18: 2.0590036942129
- Natural log of 13/18: -0.32542240043463
Floor and Ceiling Functions
- Floor of 13/18: 0
- Ceiling of 13/18: 1
Interesting Properties and Relationships
- The sum of 13/18 and its additive inverse (-13/18) is always 0.
- The product of 13/18 and its additive inverse is: -169
- The average of 13/18 and its additive inverse is always 0.
- The distance between 13/18 and its additive inverse on a number line is: 26
Applications in Algebra
Consider the equation: x + 13/18 = 0
The solution to this equation is x = -13/18, which is the additive inverse of 13/18.
Graphical Representation
On a coordinate plane:
- The point (13/18, 0) is reflected across the y-axis to (-13/18, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13/18 and Its Additive Inverse
Consider the alternating series: 13/18 + (-13/18) + 13/18 + (-13/18) + ...
The sum of this series oscillates between 0 and 13/18, never converging unless 13/18 is 0.
In Number Theory
For integer values:
- If 13/18 is even, its additive inverse is also even.
- If 13/18 is odd, its additive inverse is also odd.
- The sum of the digits of 13/18 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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