9/17 Additive Inverse :
The additive inverse of 9/17 is -9/17.
This means that when we add 9/17 and -9/17, the result is zero:
9/17 + (-9/17) = 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: 9/17
- Additive inverse: -9/17
To verify: 9/17 + (-9/17) = 0
Extended Mathematical Exploration of 9/17
Let's explore various mathematical operations and concepts related to 9/17 and its additive inverse -9/17.
Basic Operations and Properties
- Square of 9/17: 0.280276816609
- Cube of 9/17: 0.14838184408712
- Square root of |9/17|: 0.727606875109
- Reciprocal of 9/17: 1.8888888888889
- Double of 9/17: 1.0588235294118
- Half of 9/17: 0.26470588235294
- Absolute value of 9/17: 0.52941176470588
Trigonometric Functions
- Sine of 9/17: 0.50502572020071
- Cosine of 9/17: 0.86310429377669
- Tangent of 9/17: 0.58512710902048
Exponential and Logarithmic Functions
- e^9/17: 1.6979332305476
- Natural log of 9/17: -0.63598876672
Floor and Ceiling Functions
- Floor of 9/17: 0
- Ceiling of 9/17: 1
Interesting Properties and Relationships
- The sum of 9/17 and its additive inverse (-9/17) is always 0.
- The product of 9/17 and its additive inverse is: -81
- The average of 9/17 and its additive inverse is always 0.
- The distance between 9/17 and its additive inverse on a number line is: 18
Applications in Algebra
Consider the equation: x + 9/17 = 0
The solution to this equation is x = -9/17, which is the additive inverse of 9/17.
Graphical Representation
On a coordinate plane:
- The point (9/17, 0) is reflected across the y-axis to (-9/17, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 9/17 and Its Additive Inverse
Consider the alternating series: 9/17 + (-9/17) + 9/17 + (-9/17) + ...
The sum of this series oscillates between 0 and 9/17, never converging unless 9/17 is 0.
In Number Theory
For integer values:
- If 9/17 is even, its additive inverse is also even.
- If 9/17 is odd, its additive inverse is also odd.
- The sum of the digits of 9/17 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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