5/17 Additive Inverse :
The additive inverse of 5/17 is -5/17.
This means that when we add 5/17 and -5/17, the result is zero:
5/17 + (-5/17) = 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: 5/17
- Additive inverse: -5/17
To verify: 5/17 + (-5/17) = 0
Extended Mathematical Exploration of 5/17
Let's explore various mathematical operations and concepts related to 5/17 and its additive inverse -5/17.
Basic Operations and Properties
- Square of 5/17: 0.086505190311419
- Cube of 5/17: 0.02544270303277
- Square root of |5/17|: 0.54232614454664
- Reciprocal of 5/17: 3.4
- Double of 5/17: 0.58823529411765
- Half of 5/17: 0.14705882352941
- Absolute value of 5/17: 0.29411764705882
Trigonometric Functions
- Sine of 5/17: 0.28989549987152
- Cosine of 5/17: 0.95705830499204
- Tangent of 5/17: 0.30290265322334
Exponential and Logarithmic Functions
- e^5/17: 1.3419417698829
- Natural log of 5/17: -1.2237754316221
Floor and Ceiling Functions
- Floor of 5/17: 0
- Ceiling of 5/17: 1
Interesting Properties and Relationships
- The sum of 5/17 and its additive inverse (-5/17) is always 0.
- The product of 5/17 and its additive inverse is: -25
- The average of 5/17 and its additive inverse is always 0.
- The distance between 5/17 and its additive inverse on a number line is: 10
Applications in Algebra
Consider the equation: x + 5/17 = 0
The solution to this equation is x = -5/17, which is the additive inverse of 5/17.
Graphical Representation
On a coordinate plane:
- The point (5/17, 0) is reflected across the y-axis to (-5/17, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 5/17 and Its Additive Inverse
Consider the alternating series: 5/17 + (-5/17) + 5/17 + (-5/17) + ...
The sum of this series oscillates between 0 and 5/17, never converging unless 5/17 is 0.
In Number Theory
For integer values:
- If 5/17 is even, its additive inverse is also even.
- If 5/17 is odd, its additive inverse is also odd.
- The sum of the digits of 5/17 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
Enter a number (whole number, decimal, or fraction) to find its additive inverse: