15/20 Additive Inverse :
The additive inverse of 15/20 is -15/20.
This means that when we add 15/20 and -15/20, the result is zero:
15/20 + (-15/20) = 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: 15/20
- Additive inverse: -15/20
To verify: 15/20 + (-15/20) = 0
Extended Mathematical Exploration of 15/20
Let's explore various mathematical operations and concepts related to 15/20 and its additive inverse -15/20.
Basic Operations and Properties
- Square of 15/20: 0.5625
- Cube of 15/20: 0.421875
- Square root of |15/20|: 0.86602540378444
- Reciprocal of 15/20: 1.3333333333333
- Double of 15/20: 1.5
- Half of 15/20: 0.375
- Absolute value of 15/20: 0.75
Trigonometric Functions
- Sine of 15/20: 0.68163876002333
- Cosine of 15/20: 0.73168886887382
- Tangent of 15/20: 0.93159645994407
Exponential and Logarithmic Functions
- e^15/20: 2.1170000166127
- Natural log of 15/20: -0.28768207245178
Floor and Ceiling Functions
- Floor of 15/20: 0
- Ceiling of 15/20: 1
Interesting Properties and Relationships
- The sum of 15/20 and its additive inverse (-15/20) is always 0.
- The product of 15/20 and its additive inverse is: -225
- The average of 15/20 and its additive inverse is always 0.
- The distance between 15/20 and its additive inverse on a number line is: 30
Applications in Algebra
Consider the equation: x + 15/20 = 0
The solution to this equation is x = -15/20, which is the additive inverse of 15/20.
Graphical Representation
On a coordinate plane:
- The point (15/20, 0) is reflected across the y-axis to (-15/20, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15/20 and Its Additive Inverse
Consider the alternating series: 15/20 + (-15/20) + 15/20 + (-15/20) + ...
The sum of this series oscillates between 0 and 15/20, never converging unless 15/20 is 0.
In Number Theory
For integer values:
- If 15/20 is even, its additive inverse is also even.
- If 15/20 is odd, its additive inverse is also odd.
- The sum of the digits of 15/20 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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