17/26 Additive Inverse :
The additive inverse of 17/26 is -17/26.
This means that when we add 17/26 and -17/26, the result is zero:
17/26 + (-17/26) = 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: 17/26
- Additive inverse: -17/26
To verify: 17/26 + (-17/26) = 0
Extended Mathematical Exploration of 17/26
Let's explore various mathematical operations and concepts related to 17/26 and its additive inverse -17/26.
Basic Operations and Properties
- Square of 17/26: 0.42751479289941
- Cube of 17/26: 0.27952890304961
- Square root of |17/26|: 0.80860754006264
- Reciprocal of 17/26: 1.5294117647059
- Double of 17/26: 1.3076923076923
- Half of 17/26: 0.32692307692308
- Absolute value of 17/26: 0.65384615384615
Trigonometric Functions
- Sine of 17/26: 0.60824378272544
- Cosine of 17/26: 0.79375027607923
- Tangent of 17/26: 0.76629111328299
Exponential and Logarithmic Functions
- e^17/26: 1.9229224801241
- Natural log of 17/26: -0.42488319396527
Floor and Ceiling Functions
- Floor of 17/26: 0
- Ceiling of 17/26: 1
Interesting Properties and Relationships
- The sum of 17/26 and its additive inverse (-17/26) is always 0.
- The product of 17/26 and its additive inverse is: -289
- The average of 17/26 and its additive inverse is always 0.
- The distance between 17/26 and its additive inverse on a number line is: 34
Applications in Algebra
Consider the equation: x + 17/26 = 0
The solution to this equation is x = -17/26, which is the additive inverse of 17/26.
Graphical Representation
On a coordinate plane:
- The point (17/26, 0) is reflected across the y-axis to (-17/26, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 17/26 and Its Additive Inverse
Consider the alternating series: 17/26 + (-17/26) + 17/26 + (-17/26) + ...
The sum of this series oscillates between 0 and 17/26, never converging unless 17/26 is 0.
In Number Theory
For integer values:
- If 17/26 is even, its additive inverse is also even.
- If 17/26 is odd, its additive inverse is also odd.
- The sum of the digits of 17/26 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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