47/50 Additive Inverse :
The additive inverse of 47/50 is -47/50.
This means that when we add 47/50 and -47/50, the result is zero:
47/50 + (-47/50) = 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: 47/50
- Additive inverse: -47/50
To verify: 47/50 + (-47/50) = 0
Extended Mathematical Exploration of 47/50
Let's explore various mathematical operations and concepts related to 47/50 and its additive inverse -47/50.
Basic Operations and Properties
- Square of 47/50: 0.8836
- Cube of 47/50: 0.830584
- Square root of |47/50|: 0.96953597148327
- Reciprocal of 47/50: 1.063829787234
- Double of 47/50: 1.88
- Half of 47/50: 0.47
- Absolute value of 47/50: 0.94
Trigonometric Functions
- Sine of 47/50: 0.80755810040511
- Cosine of 47/50: 0.5897880250311
- Tangent of 47/50: 1.3692344810876
Exponential and Logarithmic Functions
- e^47/50: 2.5599814183293
- Natural log of 47/50: -0.061875403718088
Floor and Ceiling Functions
- Floor of 47/50: 0
- Ceiling of 47/50: 1
Interesting Properties and Relationships
- The sum of 47/50 and its additive inverse (-47/50) is always 0.
- The product of 47/50 and its additive inverse is: -2209
- The average of 47/50 and its additive inverse is always 0.
- The distance between 47/50 and its additive inverse on a number line is: 94
Applications in Algebra
Consider the equation: x + 47/50 = 0
The solution to this equation is x = -47/50, which is the additive inverse of 47/50.
Graphical Representation
On a coordinate plane:
- The point (47/50, 0) is reflected across the y-axis to (-47/50, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 47/50 and Its Additive Inverse
Consider the alternating series: 47/50 + (-47/50) + 47/50 + (-47/50) + ...
The sum of this series oscillates between 0 and 47/50, never converging unless 47/50 is 0.
In Number Theory
For integer values:
- If 47/50 is even, its additive inverse is also even.
- If 47/50 is odd, its additive inverse is also odd.
- The sum of the digits of 47/50 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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