16/20 Additive Inverse :
The additive inverse of 16/20 is -16/20.
This means that when we add 16/20 and -16/20, the result is zero:
16/20 + (-16/20) = 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: 16/20
- Additive inverse: -16/20
To verify: 16/20 + (-16/20) = 0
Extended Mathematical Exploration of 16/20
Let's explore various mathematical operations and concepts related to 16/20 and its additive inverse -16/20.
Basic Operations and Properties
- Square of 16/20: 0.64
- Cube of 16/20: 0.512
- Square root of |16/20|: 0.89442719099992
- Reciprocal of 16/20: 1.25
- Double of 16/20: 1.6
- Half of 16/20: 0.4
- Absolute value of 16/20: 0.8
Trigonometric Functions
- Sine of 16/20: 0.71735609089952
- Cosine of 16/20: 0.69670670934717
- Tangent of 16/20: 1.0296385570504
Exponential and Logarithmic Functions
- e^16/20: 2.2255409284925
- Natural log of 16/20: -0.22314355131421
Floor and Ceiling Functions
- Floor of 16/20: 0
- Ceiling of 16/20: 1
Interesting Properties and Relationships
- The sum of 16/20 and its additive inverse (-16/20) is always 0.
- The product of 16/20 and its additive inverse is: -256
- The average of 16/20 and its additive inverse is always 0.
- The distance between 16/20 and its additive inverse on a number line is: 32
Applications in Algebra
Consider the equation: x + 16/20 = 0
The solution to this equation is x = -16/20, which is the additive inverse of 16/20.
Graphical Representation
On a coordinate plane:
- The point (16/20, 0) is reflected across the y-axis to (-16/20, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 16/20 and Its Additive Inverse
Consider the alternating series: 16/20 + (-16/20) + 16/20 + (-16/20) + ...
The sum of this series oscillates between 0 and 16/20, never converging unless 16/20 is 0.
In Number Theory
For integer values:
- If 16/20 is even, its additive inverse is also even.
- If 16/20 is odd, its additive inverse is also odd.
- The sum of the digits of 16/20 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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