35/45 Additive Inverse :
The additive inverse of 35/45 is -35/45.
This means that when we add 35/45 and -35/45, the result is zero:
35/45 + (-35/45) = 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: 35/45
- Additive inverse: -35/45
To verify: 35/45 + (-35/45) = 0
Extended Mathematical Exploration of 35/45
Let's explore various mathematical operations and concepts related to 35/45 and its additive inverse -35/45.
Basic Operations and Properties
- Square of 35/45: 0.60493827160494
- Cube of 35/45: 0.47050754458162
- Square root of |35/45|: 0.8819171036882
- Reciprocal of 35/45: 1.2857142857143
- Double of 35/45: 1.5555555555556
- Half of 35/45: 0.38888888888889
- Absolute value of 35/45: 0.77777777777778
Trigonometric Functions
- Sine of 35/45: 0.70169787614674
- Cosine of 35/45: 0.71247462453842
- Tangent of 35/45: 0.98487420039883
Exponential and Logarithmic Functions
- e^35/45: 2.1766299317162
- Natural log of 35/45: -0.25131442828091
Floor and Ceiling Functions
- Floor of 35/45: 0
- Ceiling of 35/45: 1
Interesting Properties and Relationships
- The sum of 35/45 and its additive inverse (-35/45) is always 0.
- The product of 35/45 and its additive inverse is: -1225
- The average of 35/45 and its additive inverse is always 0.
- The distance between 35/45 and its additive inverse on a number line is: 70
Applications in Algebra
Consider the equation: x + 35/45 = 0
The solution to this equation is x = -35/45, which is the additive inverse of 35/45.
Graphical Representation
On a coordinate plane:
- The point (35/45, 0) is reflected across the y-axis to (-35/45, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 35/45 and Its Additive Inverse
Consider the alternating series: 35/45 + (-35/45) + 35/45 + (-35/45) + ...
The sum of this series oscillates between 0 and 35/45, never converging unless 35/45 is 0.
In Number Theory
For integer values:
- If 35/45 is even, its additive inverse is also even.
- If 35/45 is odd, its additive inverse is also odd.
- The sum of the digits of 35/45 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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