15/17 Additive Inverse :
The additive inverse of 15/17 is -15/17.
This means that when we add 15/17 and -15/17, the result is zero:
15/17 + (-15/17) = 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: 15/17
- Additive inverse: -15/17
To verify: 15/17 + (-15/17) = 0
Extended Mathematical Exploration of 15/17
Let's explore various mathematical operations and concepts related to 15/17 and its additive inverse -15/17.
Basic Operations and Properties
- Square of 15/17: 0.77854671280277
- Cube of 15/17: 0.6869529818848
- Square root of |15/17|: 0.93933643662772
- Reciprocal of 15/17: 1.1333333333333
- Double of 15/17: 1.7647058823529
- Half of 15/17: 0.44117647058824
- Absolute value of 15/17: 0.88235294117647
Trigonometric Functions
- Sine of 15/17: 0.77223592314622
- Cosine of 15/17: 0.63533587888809
- Tangent of 15/17: 1.2154766459872
Exponential and Logarithmic Functions
- e^15/17: 2.416579090617
- Natural log of 15/17: -0.12516314295401
Floor and Ceiling Functions
- Floor of 15/17: 0
- Ceiling of 15/17: 1
Interesting Properties and Relationships
- The sum of 15/17 and its additive inverse (-15/17) is always 0.
- The product of 15/17 and its additive inverse is: -225
- The average of 15/17 and its additive inverse is always 0.
- The distance between 15/17 and its additive inverse on a number line is: 30
Applications in Algebra
Consider the equation: x + 15/17 = 0
The solution to this equation is x = -15/17, which is the additive inverse of 15/17.
Graphical Representation
On a coordinate plane:
- The point (15/17, 0) is reflected across the y-axis to (-15/17, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15/17 and Its Additive Inverse
Consider the alternating series: 15/17 + (-15/17) + 15/17 + (-15/17) + ...
The sum of this series oscillates between 0 and 15/17, never converging unless 15/17 is 0.
In Number Theory
For integer values:
- If 15/17 is even, its additive inverse is also even.
- If 15/17 is odd, its additive inverse is also odd.
- The sum of the digits of 15/17 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: