43/55 Additive Inverse :
The additive inverse of 43/55 is -43/55.
This means that when we add 43/55 and -43/55, the result is zero:
43/55 + (-43/55) = 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: 43/55
- Additive inverse: -43/55
To verify: 43/55 + (-43/55) = 0
Extended Mathematical Exploration of 43/55
Let's explore various mathematical operations and concepts related to 43/55 and its additive inverse -43/55.
Basic Operations and Properties
- Square of 43/55: 0.61123966942149
- Cube of 43/55: 0.47787828700225
- Square root of |43/55|: 0.88420483023911
- Reciprocal of 43/55: 1.2790697674419
- Double of 43/55: 1.5636363636364
- Half of 43/55: 0.39090909090909
- Absolute value of 43/55: 0.78181818181818
Trigonometric Functions
- Sine of 43/55: 0.70457082611236
- Cosine of 43/55: 0.70963367380032
- Tangent of 43/55: 0.9928655475707
Exponential and Logarithmic Functions
- e^43/55: 2.1854421866338
- Natural log of 43/55: -0.24613306953891
Floor and Ceiling Functions
- Floor of 43/55: 0
- Ceiling of 43/55: 1
Interesting Properties and Relationships
- The sum of 43/55 and its additive inverse (-43/55) is always 0.
- The product of 43/55 and its additive inverse is: -1849
- The average of 43/55 and its additive inverse is always 0.
- The distance between 43/55 and its additive inverse on a number line is: 86
Applications in Algebra
Consider the equation: x + 43/55 = 0
The solution to this equation is x = -43/55, which is the additive inverse of 43/55.
Graphical Representation
On a coordinate plane:
- The point (43/55, 0) is reflected across the y-axis to (-43/55, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 43/55 and Its Additive Inverse
Consider the alternating series: 43/55 + (-43/55) + 43/55 + (-43/55) + ...
The sum of this series oscillates between 0 and 43/55, never converging unless 43/55 is 0.
In Number Theory
For integer values:
- If 43/55 is even, its additive inverse is also even.
- If 43/55 is odd, its additive inverse is also odd.
- The sum of the digits of 43/55 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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