35/50 Additive Inverse :
The additive inverse of 35/50 is -35/50.
This means that when we add 35/50 and -35/50, the result is zero:
35/50 + (-35/50) = 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: 35/50
- Additive inverse: -35/50
To verify: 35/50 + (-35/50) = 0
Extended Mathematical Exploration of 35/50
Let's explore various mathematical operations and concepts related to 35/50 and its additive inverse -35/50.
Basic Operations and Properties
- Square of 35/50: 0.49
- Cube of 35/50: 0.343
- Square root of |35/50|: 0.83666002653408
- Reciprocal of 35/50: 1.4285714285714
- Double of 35/50: 1.4
- Half of 35/50: 0.35
- Absolute value of 35/50: 0.7
Trigonometric Functions
- Sine of 35/50: 0.64421768723769
- Cosine of 35/50: 0.76484218728449
- Tangent of 35/50: 0.84228838046308
Exponential and Logarithmic Functions
- e^35/50: 2.0137527074705
- Natural log of 35/50: -0.35667494393873
Floor and Ceiling Functions
- Floor of 35/50: 0
- Ceiling of 35/50: 1
Interesting Properties and Relationships
- The sum of 35/50 and its additive inverse (-35/50) is always 0.
- The product of 35/50 and its additive inverse is: -1225
- The average of 35/50 and its additive inverse is always 0.
- The distance between 35/50 and its additive inverse on a number line is: 70
Applications in Algebra
Consider the equation: x + 35/50 = 0
The solution to this equation is x = -35/50, which is the additive inverse of 35/50.
Graphical Representation
On a coordinate plane:
- The point (35/50, 0) is reflected across the y-axis to (-35/50, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 35/50 and Its Additive Inverse
Consider the alternating series: 35/50 + (-35/50) + 35/50 + (-35/50) + ...
The sum of this series oscillates between 0 and 35/50, never converging unless 35/50 is 0.
In Number Theory
For integer values:
- If 35/50 is even, its additive inverse is also even.
- If 35/50 is odd, its additive inverse is also odd.
- The sum of the digits of 35/50 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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