2/14 Additive Inverse :
The additive inverse of 2/14 is -2/14.
This means that when we add 2/14 and -2/14, the result is zero:
2/14 + (-2/14) = 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: 2/14
- Additive inverse: -2/14
To verify: 2/14 + (-2/14) = 0
Extended Mathematical Exploration of 2/14
Let's explore various mathematical operations and concepts related to 2/14 and its additive inverse -2/14.
Basic Operations and Properties
- Square of 2/14: 0.020408163265306
- Cube of 2/14: 0.0029154518950437
- Square root of |2/14|: 0.37796447300923
- Reciprocal of 2/14: 7
- Double of 2/14: 0.28571428571429
- Half of 2/14: 0.071428571428571
- Absolute value of 2/14: 0.14285714285714
Trigonometric Functions
- Sine of 2/14: 0.14237172979226
- Cosine of 2/14: 0.98981326044662
- Tangent of 2/14: 0.14383695943619
Exponential and Logarithmic Functions
- e^2/14: 1.1535649948951
- Natural log of 2/14: -1.9459101490553
Floor and Ceiling Functions
- Floor of 2/14: 0
- Ceiling of 2/14: 1
Interesting Properties and Relationships
- The sum of 2/14 and its additive inverse (-2/14) is always 0.
- The product of 2/14 and its additive inverse is: -4
- The average of 2/14 and its additive inverse is always 0.
- The distance between 2/14 and its additive inverse on a number line is: 4
Applications in Algebra
Consider the equation: x + 2/14 = 0
The solution to this equation is x = -2/14, which is the additive inverse of 2/14.
Graphical Representation
On a coordinate plane:
- The point (2/14, 0) is reflected across the y-axis to (-2/14, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 2/14 and Its Additive Inverse
Consider the alternating series: 2/14 + (-2/14) + 2/14 + (-2/14) + ...
The sum of this series oscillates between 0 and 2/14, never converging unless 2/14 is 0.
In Number Theory
For integer values:
- If 2/14 is even, its additive inverse is also even.
- If 2/14 is odd, its additive inverse is also odd.
- The sum of the digits of 2/14 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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