17/18 Additive Inverse :
The additive inverse of 17/18 is -17/18.
This means that when we add 17/18 and -17/18, the result is zero:
17/18 + (-17/18) = 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: 17/18
- Additive inverse: -17/18
To verify: 17/18 + (-17/18) = 0
Extended Mathematical Exploration of 17/18
Let's explore various mathematical operations and concepts related to 17/18 and its additive inverse -17/18.
Basic Operations and Properties
- Square of 17/18: 0.89197530864198
- Cube of 17/18: 0.84242112482853
- Square root of |17/18|: 0.97182531580755
- Reciprocal of 17/18: 1.0588235294118
- Double of 17/18: 1.8888888888889
- Half of 17/18: 0.47222222222222
- Absolute value of 17/18: 0.94444444444444
Trigonometric Functions
- Sine of 17/18: 0.8101713960173
- Cosine of 17/18: 0.58619306467697
- Tangent of 17/18: 1.3820896984917
Exponential and Logarithmic Functions
- e^17/18: 2.571384434788
- Natural log of 17/18: -0.057158413839949
Floor and Ceiling Functions
- Floor of 17/18: 0
- Ceiling of 17/18: 1
Interesting Properties and Relationships
- The sum of 17/18 and its additive inverse (-17/18) is always 0.
- The product of 17/18 and its additive inverse is: -289
- The average of 17/18 and its additive inverse is always 0.
- The distance between 17/18 and its additive inverse on a number line is: 34
Applications in Algebra
Consider the equation: x + 17/18 = 0
The solution to this equation is x = -17/18, which is the additive inverse of 17/18.
Graphical Representation
On a coordinate plane:
- The point (17/18, 0) is reflected across the y-axis to (-17/18, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 17/18 and Its Additive Inverse
Consider the alternating series: 17/18 + (-17/18) + 17/18 + (-17/18) + ...
The sum of this series oscillates between 0 and 17/18, never converging unless 17/18 is 0.
In Number Theory
For integer values:
- If 17/18 is even, its additive inverse is also even.
- If 17/18 is odd, its additive inverse is also odd.
- The sum of the digits of 17/18 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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