50/55 Additive Inverse :
The additive inverse of 50/55 is -50/55.
This means that when we add 50/55 and -50/55, the result is zero:
50/55 + (-50/55) = 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: 50/55
- Additive inverse: -50/55
To verify: 50/55 + (-50/55) = 0
Extended Mathematical Exploration of 50/55
Let's explore various mathematical operations and concepts related to 50/55 and its additive inverse -50/55.
Basic Operations and Properties
- Square of 50/55: 0.82644628099174
- Cube of 50/55: 0.75131480090158
- Square root of |50/55|: 0.95346258924559
- Reciprocal of 50/55: 1.1
- Double of 50/55: 1.8181818181818
- Half of 50/55: 0.45454545454545
- Absolute value of 50/55: 0.90909090909091
Trigonometric Functions
- Sine of 50/55: 0.78894546284426
- Cosine of 50/55: 0.61446322644847
- Tangent of 50/55: 1.2839587934404
Exponential and Logarithmic Functions
- e^50/55: 2.482065084623
- Natural log of 50/55: -0.095310179804325
Floor and Ceiling Functions
- Floor of 50/55: 0
- Ceiling of 50/55: 1
Interesting Properties and Relationships
- The sum of 50/55 and its additive inverse (-50/55) is always 0.
- The product of 50/55 and its additive inverse is: -2500
- The average of 50/55 and its additive inverse is always 0.
- The distance between 50/55 and its additive inverse on a number line is: 100
Applications in Algebra
Consider the equation: x + 50/55 = 0
The solution to this equation is x = -50/55, which is the additive inverse of 50/55.
Graphical Representation
On a coordinate plane:
- The point (50/55, 0) is reflected across the y-axis to (-50/55, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 50/55 and Its Additive Inverse
Consider the alternating series: 50/55 + (-50/55) + 50/55 + (-50/55) + ...
The sum of this series oscillates between 0 and 50/55, never converging unless 50/55 is 0.
In Number Theory
For integer values:
- If 50/55 is even, its additive inverse is also even.
- If 50/55 is odd, its additive inverse is also odd.
- The sum of the digits of 50/55 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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