20/34 Additive Inverse :
The additive inverse of 20/34 is -20/34.
This means that when we add 20/34 and -20/34, the result is zero:
20/34 + (-20/34) = 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: 20/34
- Additive inverse: -20/34
To verify: 20/34 + (-20/34) = 0
Extended Mathematical Exploration of 20/34
Let's explore various mathematical operations and concepts related to 20/34 and its additive inverse -20/34.
Basic Operations and Properties
- Square of 20/34: 0.34602076124567
- Cube of 20/34: 0.20354162426216
- Square root of |20/34|: 0.76696498884737
- Reciprocal of 20/34: 1.7
- Double of 20/34: 1.1764705882353
- Half of 20/34: 0.29411764705882
- Absolute value of 20/34: 0.58823529411765
Trigonometric Functions
- Sine of 20/34: 0.55489379146371
- Cosine of 20/34: 0.83192119830849
- Tangent of 20/34: 0.66700282742158
Exponential and Logarithmic Functions
- e^20/34: 1.8008077137564
- Natural log of 20/34: -0.53062825106217
Floor and Ceiling Functions
- Floor of 20/34: 0
- Ceiling of 20/34: 1
Interesting Properties and Relationships
- The sum of 20/34 and its additive inverse (-20/34) is always 0.
- The product of 20/34 and its additive inverse is: -400
- The average of 20/34 and its additive inverse is always 0.
- The distance between 20/34 and its additive inverse on a number line is: 40
Applications in Algebra
Consider the equation: x + 20/34 = 0
The solution to this equation is x = -20/34, which is the additive inverse of 20/34.
Graphical Representation
On a coordinate plane:
- The point (20/34, 0) is reflected across the y-axis to (-20/34, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 20/34 and Its Additive Inverse
Consider the alternating series: 20/34 + (-20/34) + 20/34 + (-20/34) + ...
The sum of this series oscillates between 0 and 20/34, never converging unless 20/34 is 0.
In Number Theory
For integer values:
- If 20/34 is even, its additive inverse is also even.
- If 20/34 is odd, its additive inverse is also odd.
- The sum of the digits of 20/34 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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