43/47 Additive Inverse :
The additive inverse of 43/47 is -43/47.
This means that when we add 43/47 and -43/47, the result is zero:
43/47 + (-43/47) = 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: 43/47
- Additive inverse: -43/47
To verify: 43/47 + (-43/47) = 0
Extended Mathematical Exploration of 43/47
Let's explore various mathematical operations and concepts related to 43/47 and its additive inverse -43/47.
Basic Operations and Properties
- Square of 43/47: 0.83703033046627
- Cube of 43/47: 0.7657937065968
- Square root of |43/47|: 0.95650071459528
- Reciprocal of 43/47: 1.093023255814
- Double of 43/47: 1.8297872340426
- Half of 43/47: 0.45744680851064
- Absolute value of 43/47: 0.91489361702128
Trigonometric Functions
- Sine of 43/47: 0.79249771105232
- Cosine of 43/47: 0.6098748871505
- Tangent of 43/47: 1.2994430952143
Exponential and Logarithmic Functions
- e^43/47: 2.4965096516443
- Natural log of 43/47: -0.088947486016496
Floor and Ceiling Functions
- Floor of 43/47: 0
- Ceiling of 43/47: 1
Interesting Properties and Relationships
- The sum of 43/47 and its additive inverse (-43/47) is always 0.
- The product of 43/47 and its additive inverse is: -1849
- The average of 43/47 and its additive inverse is always 0.
- The distance between 43/47 and its additive inverse on a number line is: 86
Applications in Algebra
Consider the equation: x + 43/47 = 0
The solution to this equation is x = -43/47, which is the additive inverse of 43/47.
Graphical Representation
On a coordinate plane:
- The point (43/47, 0) is reflected across the y-axis to (-43/47, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 43/47 and Its Additive Inverse
Consider the alternating series: 43/47 + (-43/47) + 43/47 + (-43/47) + ...
The sum of this series oscillates between 0 and 43/47, never converging unless 43/47 is 0.
In Number Theory
For integer values:
- If 43/47 is even, its additive inverse is also even.
- If 43/47 is odd, its additive inverse is also odd.
- The sum of the digits of 43/47 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
Enter a number (whole number, decimal, or fraction) to find its additive inverse: