47/55 Additive Inverse :
The additive inverse of 47/55 is -47/55.
This means that when we add 47/55 and -47/55, the result is zero:
47/55 + (-47/55) = 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: 47/55
- Additive inverse: -47/55
To verify: 47/55 + (-47/55) = 0
Extended Mathematical Exploration of 47/55
Let's explore various mathematical operations and concepts related to 47/55 and its additive inverse -47/55.
Basic Operations and Properties
- Square of 47/55: 0.7302479338843
- Cube of 47/55: 0.62403005259204
- Square root of |47/55|: 0.92441627773718
- Reciprocal of 47/55: 1.1702127659574
- Double of 47/55: 1.7090909090909
- Half of 47/55: 0.42727272727273
- Absolute value of 47/55: 0.85454545454545
Trigonometric Functions
- Sine of 47/55: 0.75427255705253
- Cosine of 47/55: 0.65656142871588
- Tangent of 47/55: 1.1488225230162
Exponential and Logarithmic Functions
- e^47/55: 2.3503058169121
- Natural log of 47/55: -0.15718558352241
Floor and Ceiling Functions
- Floor of 47/55: 0
- Ceiling of 47/55: 1
Interesting Properties and Relationships
- The sum of 47/55 and its additive inverse (-47/55) is always 0.
- The product of 47/55 and its additive inverse is: -2209
- The average of 47/55 and its additive inverse is always 0.
- The distance between 47/55 and its additive inverse on a number line is: 94
Applications in Algebra
Consider the equation: x + 47/55 = 0
The solution to this equation is x = -47/55, which is the additive inverse of 47/55.
Graphical Representation
On a coordinate plane:
- The point (47/55, 0) is reflected across the y-axis to (-47/55, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 47/55 and Its Additive Inverse
Consider the alternating series: 47/55 + (-47/55) + 47/55 + (-47/55) + ...
The sum of this series oscillates between 0 and 47/55, never converging unless 47/55 is 0.
In Number Theory
For integer values:
- If 47/55 is even, its additive inverse is also even.
- If 47/55 is odd, its additive inverse is also odd.
- The sum of the digits of 47/55 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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