14/20 Additive Inverse :
The additive inverse of 14/20 is -14/20.
This means that when we add 14/20 and -14/20, the result is zero:
14/20 + (-14/20) = 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: 14/20
- Additive inverse: -14/20
To verify: 14/20 + (-14/20) = 0
Extended Mathematical Exploration of 14/20
Let's explore various mathematical operations and concepts related to 14/20 and its additive inverse -14/20.
Basic Operations and Properties
- Square of 14/20: 0.49
- Cube of 14/20: 0.343
- Square root of |14/20|: 0.83666002653408
- Reciprocal of 14/20: 1.4285714285714
- Double of 14/20: 1.4
- Half of 14/20: 0.35
- Absolute value of 14/20: 0.7
Trigonometric Functions
- Sine of 14/20: 0.64421768723769
- Cosine of 14/20: 0.76484218728449
- Tangent of 14/20: 0.84228838046308
Exponential and Logarithmic Functions
- e^14/20: 2.0137527074705
- Natural log of 14/20: -0.35667494393873
Floor and Ceiling Functions
- Floor of 14/20: 0
- Ceiling of 14/20: 1
Interesting Properties and Relationships
- The sum of 14/20 and its additive inverse (-14/20) is always 0.
- The product of 14/20 and its additive inverse is: -196
- The average of 14/20 and its additive inverse is always 0.
- The distance between 14/20 and its additive inverse on a number line is: 28
Applications in Algebra
Consider the equation: x + 14/20 = 0
The solution to this equation is x = -14/20, which is the additive inverse of 14/20.
Graphical Representation
On a coordinate plane:
- The point (14/20, 0) is reflected across the y-axis to (-14/20, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 14/20 and Its Additive Inverse
Consider the alternating series: 14/20 + (-14/20) + 14/20 + (-14/20) + ...
The sum of this series oscillates between 0 and 14/20, never converging unless 14/20 is 0.
In Number Theory
For integer values:
- If 14/20 is even, its additive inverse is also even.
- If 14/20 is odd, its additive inverse is also odd.
- The sum of the digits of 14/20 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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