43/45 Additive Inverse :
The additive inverse of 43/45 is -43/45.
This means that when we add 43/45 and -43/45, the result is zero:
43/45 + (-43/45) = 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: 43/45
- Additive inverse: -43/45
To verify: 43/45 + (-43/45) = 0
Extended Mathematical Exploration of 43/45
Let's explore various mathematical operations and concepts related to 43/45 and its additive inverse -43/45.
Basic Operations and Properties
- Square of 43/45: 0.91308641975309
- Cube of 43/45: 0.87250480109739
- Square root of |43/45|: 0.97752521990768
- Reciprocal of 43/45: 1.046511627907
- Double of 43/45: 1.9111111111111
- Half of 43/45: 0.47777777777778
- Absolute value of 43/45: 0.95555555555556
Trigonometric Functions
- Sine of 43/45: 0.81663450820921
- Cosine of 43/45: 0.5771551611152
- Tangent of 43/45: 1.4149306169788
Exponential and Logarithmic Functions
- e^43/45: 2.6001146899026
- Natural log of 43/45: -0.045462374076757
Floor and Ceiling Functions
- Floor of 43/45: 0
- Ceiling of 43/45: 1
Interesting Properties and Relationships
- The sum of 43/45 and its additive inverse (-43/45) is always 0.
- The product of 43/45 and its additive inverse is: -1849
- The average of 43/45 and its additive inverse is always 0.
- The distance between 43/45 and its additive inverse on a number line is: 86
Applications in Algebra
Consider the equation: x + 43/45 = 0
The solution to this equation is x = -43/45, which is the additive inverse of 43/45.
Graphical Representation
On a coordinate plane:
- The point (43/45, 0) is reflected across the y-axis to (-43/45, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 43/45 and Its Additive Inverse
Consider the alternating series: 43/45 + (-43/45) + 43/45 + (-43/45) + ...
The sum of this series oscillates between 0 and 43/45, never converging unless 43/45 is 0.
In Number Theory
For integer values:
- If 43/45 is even, its additive inverse is also even.
- If 43/45 is odd, its additive inverse is also odd.
- The sum of the digits of 43/45 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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