13/20 Additive Inverse :
The additive inverse of 13/20 is -13/20.
This means that when we add 13/20 and -13/20, the result is zero:
13/20 + (-13/20) = 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: 13/20
- Additive inverse: -13/20
To verify: 13/20 + (-13/20) = 0
Extended Mathematical Exploration of 13/20
Let's explore various mathematical operations and concepts related to 13/20 and its additive inverse -13/20.
Basic Operations and Properties
- Square of 13/20: 0.4225
- Cube of 13/20: 0.274625
- Square root of |13/20|: 0.80622577482986
- Reciprocal of 13/20: 1.5384615384615
- Double of 13/20: 1.3
- Half of 13/20: 0.325
- Absolute value of 13/20: 0.65
Trigonometric Functions
- Sine of 13/20: 0.60518640573604
- Cosine of 13/20: 0.79608379854906
- Tangent of 13/20: 0.76020439913368
Exponential and Logarithmic Functions
- e^13/20: 1.9155408290139
- Natural log of 13/20: -0.43078291609245
Floor and Ceiling Functions
- Floor of 13/20: 0
- Ceiling of 13/20: 1
Interesting Properties and Relationships
- The sum of 13/20 and its additive inverse (-13/20) is always 0.
- The product of 13/20 and its additive inverse is: -169
- The average of 13/20 and its additive inverse is always 0.
- The distance between 13/20 and its additive inverse on a number line is: 26
Applications in Algebra
Consider the equation: x + 13/20 = 0
The solution to this equation is x = -13/20, which is the additive inverse of 13/20.
Graphical Representation
On a coordinate plane:
- The point (13/20, 0) is reflected across the y-axis to (-13/20, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13/20 and Its Additive Inverse
Consider the alternating series: 13/20 + (-13/20) + 13/20 + (-13/20) + ...
The sum of this series oscillates between 0 and 13/20, never converging unless 13/20 is 0.
In Number Theory
For integer values:
- If 13/20 is even, its additive inverse is also even.
- If 13/20 is odd, its additive inverse is also odd.
- The sum of the digits of 13/20 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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