3/17 Additive Inverse :
The additive inverse of 3/17 is -3/17.
This means that when we add 3/17 and -3/17, the result is zero:
3/17 + (-3/17) = 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: 3/17
- Additive inverse: -3/17
To verify: 3/17 + (-3/17) = 0
Extended Mathematical Exploration of 3/17
Let's explore various mathematical operations and concepts related to 3/17 and its additive inverse -3/17.
Basic Operations and Properties
- Square of 3/17: 0.031141868512111
- Cube of 3/17: 0.0054956238550784
- Square root of |3/17|: 0.4200840252084
- Reciprocal of 3/17: 5.6666666666667
- Double of 3/17: 0.35294117647059
- Half of 3/17: 0.088235294117647
- Absolute value of 3/17: 0.17647058823529
Trigonometric Functions
- Sine of 3/17: 0.17555607606905
- Cosine of 3/17: 0.98446943281914
- Tangent of 3/17: 0.17832557336628
Exponential and Logarithmic Functions
- e^3/17: 1.1929993380278
- Natural log of 3/17: -1.7346010553881
Floor and Ceiling Functions
- Floor of 3/17: 0
- Ceiling of 3/17: 1
Interesting Properties and Relationships
- The sum of 3/17 and its additive inverse (-3/17) is always 0.
- The product of 3/17 and its additive inverse is: -9
- The average of 3/17 and its additive inverse is always 0.
- The distance between 3/17 and its additive inverse on a number line is: 6
Applications in Algebra
Consider the equation: x + 3/17 = 0
The solution to this equation is x = -3/17, which is the additive inverse of 3/17.
Graphical Representation
On a coordinate plane:
- The point (3/17, 0) is reflected across the y-axis to (-3/17, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 3/17 and Its Additive Inverse
Consider the alternating series: 3/17 + (-3/17) + 3/17 + (-3/17) + ...
The sum of this series oscillates between 0 and 3/17, never converging unless 3/17 is 0.
In Number Theory
For integer values:
- If 3/17 is even, its additive inverse is also even.
- If 3/17 is odd, its additive inverse is also odd.
- The sum of the digits of 3/17 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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