20/35 Additive Inverse :
The additive inverse of 20/35 is -20/35.
This means that when we add 20/35 and -20/35, the result is zero:
20/35 + (-20/35) = 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: 20/35
- Additive inverse: -20/35
To verify: 20/35 + (-20/35) = 0
Extended Mathematical Exploration of 20/35
Let's explore various mathematical operations and concepts related to 20/35 and its additive inverse -20/35.
Basic Operations and Properties
- Square of 20/35: 0.3265306122449
- Cube of 20/35: 0.1865889212828
- Square root of |20/35|: 0.75592894601845
- Reciprocal of 20/35: 1.75
- Double of 20/35: 1.1428571428571
- Half of 20/35: 0.28571428571429
- Absolute value of 20/35: 0.57142857142857
Trigonometric Functions
- Sine of 20/35: 0.54083421335883
- Cosine of 20/35: 0.84112921341524
- Tangent of 20/35: 0.64298588698743
Exponential and Logarithmic Functions
- e^20/35: 1.7707949524352
- Natural log of 20/35: -0.55961578793542
Floor and Ceiling Functions
- Floor of 20/35: 0
- Ceiling of 20/35: 1
Interesting Properties and Relationships
- The sum of 20/35 and its additive inverse (-20/35) is always 0.
- The product of 20/35 and its additive inverse is: -400
- The average of 20/35 and its additive inverse is always 0.
- The distance between 20/35 and its additive inverse on a number line is: 40
Applications in Algebra
Consider the equation: x + 20/35 = 0
The solution to this equation is x = -20/35, which is the additive inverse of 20/35.
Graphical Representation
On a coordinate plane:
- The point (20/35, 0) is reflected across the y-axis to (-20/35, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 20/35 and Its Additive Inverse
Consider the alternating series: 20/35 + (-20/35) + 20/35 + (-20/35) + ...
The sum of this series oscillates between 0 and 20/35, never converging unless 20/35 is 0.
In Number Theory
For integer values:
- If 20/35 is even, its additive inverse is also even.
- If 20/35 is odd, its additive inverse is also odd.
- The sum of the digits of 20/35 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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