55/63 Additive Inverse :
The additive inverse of 55/63 is -55/63.
This means that when we add 55/63 and -55/63, the result is zero:
55/63 + (-55/63) = 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: 55/63
- Additive inverse: -55/63
To verify: 55/63 + (-55/63) = 0
Extended Mathematical Exploration of 55/63
Let's explore various mathematical operations and concepts related to 55/63 and its additive inverse -55/63.
Basic Operations and Properties
- Square of 55/63: 0.76215671453767
- Cube of 55/63: 0.66537490951701
- Square root of |55/63|: 0.93435318430231
- Reciprocal of 55/63: 1.1454545454545
- Double of 55/63: 1.7460317460317
- Half of 55/63: 0.43650793650794
- Absolute value of 55/63: 0.87301587301587
Trigonometric Functions
- Sine of 55/63: 0.76627017309074
- Cosine of 55/63: 0.64251849921344
- Tangent of 55/63: 1.1926040635854
Exponential and Logarithmic Functions
- e^55/63: 2.3941203395414
- Natural log of 55/63: -0.13580154115906
Floor and Ceiling Functions
- Floor of 55/63: 0
- Ceiling of 55/63: 1
Interesting Properties and Relationships
- The sum of 55/63 and its additive inverse (-55/63) is always 0.
- The product of 55/63 and its additive inverse is: -3025
- The average of 55/63 and its additive inverse is always 0.
- The distance between 55/63 and its additive inverse on a number line is: 110
Applications in Algebra
Consider the equation: x + 55/63 = 0
The solution to this equation is x = -55/63, which is the additive inverse of 55/63.
Graphical Representation
On a coordinate plane:
- The point (55/63, 0) is reflected across the y-axis to (-55/63, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 55/63 and Its Additive Inverse
Consider the alternating series: 55/63 + (-55/63) + 55/63 + (-55/63) + ...
The sum of this series oscillates between 0 and 55/63, never converging unless 55/63 is 0.
In Number Theory
For integer values:
- If 55/63 is even, its additive inverse is also even.
- If 55/63 is odd, its additive inverse is also odd.
- The sum of the digits of 55/63 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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