5/20 Additive Inverse :
The additive inverse of 5/20 is -5/20.
This means that when we add 5/20 and -5/20, the result is zero:
5/20 + (-5/20) = 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: 5/20
- Additive inverse: -5/20
To verify: 5/20 + (-5/20) = 0
Extended Mathematical Exploration of 5/20
Let's explore various mathematical operations and concepts related to 5/20 and its additive inverse -5/20.
Basic Operations and Properties
- Square of 5/20: 0.0625
- Cube of 5/20: 0.015625
- Square root of |5/20|: 0.5
- Reciprocal of 5/20: 4
- Double of 5/20: 0.5
- Half of 5/20: 0.125
- Absolute value of 5/20: 0.25
Trigonometric Functions
- Sine of 5/20: 0.24740395925452
- Cosine of 5/20: 0.96891242171064
- Tangent of 5/20: 0.25534192122104
Exponential and Logarithmic Functions
- e^5/20: 1.2840254166877
- Natural log of 5/20: -1.3862943611199
Floor and Ceiling Functions
- Floor of 5/20: 0
- Ceiling of 5/20: 1
Interesting Properties and Relationships
- The sum of 5/20 and its additive inverse (-5/20) is always 0.
- The product of 5/20 and its additive inverse is: -25
- The average of 5/20 and its additive inverse is always 0.
- The distance between 5/20 and its additive inverse on a number line is: 10
Applications in Algebra
Consider the equation: x + 5/20 = 0
The solution to this equation is x = -5/20, which is the additive inverse of 5/20.
Graphical Representation
On a coordinate plane:
- The point (5/20, 0) is reflected across the y-axis to (-5/20, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 5/20 and Its Additive Inverse
Consider the alternating series: 5/20 + (-5/20) + 5/20 + (-5/20) + ...
The sum of this series oscillates between 0 and 5/20, never converging unless 5/20 is 0.
In Number Theory
For integer values:
- If 5/20 is even, its additive inverse is also even.
- If 5/20 is odd, its additive inverse is also odd.
- The sum of the digits of 5/20 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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