36/45 Additive Inverse :
The additive inverse of 36/45 is -36/45.
This means that when we add 36/45 and -36/45, the result is zero:
36/45 + (-36/45) = 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: 36/45
- Additive inverse: -36/45
To verify: 36/45 + (-36/45) = 0
Extended Mathematical Exploration of 36/45
Let's explore various mathematical operations and concepts related to 36/45 and its additive inverse -36/45.
Basic Operations and Properties
- Square of 36/45: 0.64
- Cube of 36/45: 0.512
- Square root of |36/45|: 0.89442719099992
- Reciprocal of 36/45: 1.25
- Double of 36/45: 1.6
- Half of 36/45: 0.4
- Absolute value of 36/45: 0.8
Trigonometric Functions
- Sine of 36/45: 0.71735609089952
- Cosine of 36/45: 0.69670670934717
- Tangent of 36/45: 1.0296385570504
Exponential and Logarithmic Functions
- e^36/45: 2.2255409284925
- Natural log of 36/45: -0.22314355131421
Floor and Ceiling Functions
- Floor of 36/45: 0
- Ceiling of 36/45: 1
Interesting Properties and Relationships
- The sum of 36/45 and its additive inverse (-36/45) is always 0.
- The product of 36/45 and its additive inverse is: -1296
- The average of 36/45 and its additive inverse is always 0.
- The distance between 36/45 and its additive inverse on a number line is: 72
Applications in Algebra
Consider the equation: x + 36/45 = 0
The solution to this equation is x = -36/45, which is the additive inverse of 36/45.
Graphical Representation
On a coordinate plane:
- The point (36/45, 0) is reflected across the y-axis to (-36/45, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 36/45 and Its Additive Inverse
Consider the alternating series: 36/45 + (-36/45) + 36/45 + (-36/45) + ...
The sum of this series oscillates between 0 and 36/45, never converging unless 36/45 is 0.
In Number Theory
For integer values:
- If 36/45 is even, its additive inverse is also even.
- If 36/45 is odd, its additive inverse is also odd.
- The sum of the digits of 36/45 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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