5/18 Additive Inverse :
The additive inverse of 5/18 is -5/18.
This means that when we add 5/18 and -5/18, the result is zero:
5/18 + (-5/18) = 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: 5/18
- Additive inverse: -5/18
To verify: 5/18 + (-5/18) = 0
Extended Mathematical Exploration of 5/18
Let's explore various mathematical operations and concepts related to 5/18 and its additive inverse -5/18.
Basic Operations and Properties
- Square of 5/18: 0.077160493827161
- Cube of 5/18: 0.021433470507545
- Square root of |5/18|: 0.52704627669473
- Reciprocal of 5/18: 3.6
- Double of 5/18: 0.55555555555556
- Half of 5/18: 0.13888888888889
- Absolute value of 5/18: 0.27777777777778
Trigonometric Functions
- Sine of 5/18: 0.27421928921073
- Cosine of 5/18: 0.96166718849338
- Tangent of 5/18: 0.28514988604357
Exponential and Logarithmic Functions
- e^5/18: 1.3201927884341
- Natural log of 5/18: -1.2809338454621
Floor and Ceiling Functions
- Floor of 5/18: 0
- Ceiling of 5/18: 1
Interesting Properties and Relationships
- The sum of 5/18 and its additive inverse (-5/18) is always 0.
- The product of 5/18 and its additive inverse is: -25
- The average of 5/18 and its additive inverse is always 0.
- The distance between 5/18 and its additive inverse on a number line is: 10
Applications in Algebra
Consider the equation: x + 5/18 = 0
The solution to this equation is x = -5/18, which is the additive inverse of 5/18.
Graphical Representation
On a coordinate plane:
- The point (5/18, 0) is reflected across the y-axis to (-5/18, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 5/18 and Its Additive Inverse
Consider the alternating series: 5/18 + (-5/18) + 5/18 + (-5/18) + ...
The sum of this series oscillates between 0 and 5/18, never converging unless 5/18 is 0.
In Number Theory
For integer values:
- If 5/18 is even, its additive inverse is also even.
- If 5/18 is odd, its additive inverse is also odd.
- The sum of the digits of 5/18 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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