47/60 Additive Inverse :
The additive inverse of 47/60 is -47/60.
This means that when we add 47/60 and -47/60, the result is zero:
47/60 + (-47/60) = 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: 47/60
- Additive inverse: -47/60
To verify: 47/60 + (-47/60) = 0
Extended Mathematical Exploration of 47/60
Let's explore various mathematical operations and concepts related to 47/60 and its additive inverse -47/60.
Basic Operations and Properties
- Square of 47/60: 0.61361111111111
- Cube of 47/60: 0.48066203703704
- Square root of |47/60|: 0.88506120315678
- Reciprocal of 47/60: 1.2765957446809
- Double of 47/60: 1.5666666666667
- Half of 47/60: 0.39166666666667
- Absolute value of 47/60: 0.78333333333333
Trigonometric Functions
- Sine of 47/60: 0.70564521950116
- Cosine of 47/60: 0.70856532810684
- Tangent of 47/60: 0.99587884350272
Exponential and Logarithmic Functions
- e^47/60: 2.188755972484
- Natural log of 47/60: -0.24419696051204
Floor and Ceiling Functions
- Floor of 47/60: 0
- Ceiling of 47/60: 1
Interesting Properties and Relationships
- The sum of 47/60 and its additive inverse (-47/60) is always 0.
- The product of 47/60 and its additive inverse is: -2209
- The average of 47/60 and its additive inverse is always 0.
- The distance between 47/60 and its additive inverse on a number line is: 94
Applications in Algebra
Consider the equation: x + 47/60 = 0
The solution to this equation is x = -47/60, which is the additive inverse of 47/60.
Graphical Representation
On a coordinate plane:
- The point (47/60, 0) is reflected across the y-axis to (-47/60, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 47/60 and Its Additive Inverse
Consider the alternating series: 47/60 + (-47/60) + 47/60 + (-47/60) + ...
The sum of this series oscillates between 0 and 47/60, never converging unless 47/60 is 0.
In Number Theory
For integer values:
- If 47/60 is even, its additive inverse is also even.
- If 47/60 is odd, its additive inverse is also odd.
- The sum of the digits of 47/60 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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