5/14 Additive Inverse :
The additive inverse of 5/14 is -5/14.
This means that when we add 5/14 and -5/14, the result is zero:
5/14 + (-5/14) = 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: 5/14
- Additive inverse: -5/14
To verify: 5/14 + (-5/14) = 0
Extended Mathematical Exploration of 5/14
Let's explore various mathematical operations and concepts related to 5/14 and its additive inverse -5/14.
Basic Operations and Properties
- Square of 5/14: 0.12755102040816
- Cube of 5/14: 0.045553935860058
- Square root of |5/14|: 0.5976143046672
- Reciprocal of 5/14: 2.8
- Double of 5/14: 0.71428571428571
- Half of 5/14: 0.17857142857143
- Absolute value of 5/14: 0.35714285714286
Trigonometric Functions
- Sine of 5/14: 0.34959880813534
- Cosine of 5/14: 0.93689950013347
- Tangent of 5/14: 0.37314440672189
Exponential and Logarithmic Functions
- e^5/14: 1.429240032418
- Natural log of 5/14: -1.0296194171812
Floor and Ceiling Functions
- Floor of 5/14: 0
- Ceiling of 5/14: 1
Interesting Properties and Relationships
- The sum of 5/14 and its additive inverse (-5/14) is always 0.
- The product of 5/14 and its additive inverse is: -25
- The average of 5/14 and its additive inverse is always 0.
- The distance between 5/14 and its additive inverse on a number line is: 10
Applications in Algebra
Consider the equation: x + 5/14 = 0
The solution to this equation is x = -5/14, which is the additive inverse of 5/14.
Graphical Representation
On a coordinate plane:
- The point (5/14, 0) is reflected across the y-axis to (-5/14, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 5/14 and Its Additive Inverse
Consider the alternating series: 5/14 + (-5/14) + 5/14 + (-5/14) + ...
The sum of this series oscillates between 0 and 5/14, never converging unless 5/14 is 0.
In Number Theory
For integer values:
- If 5/14 is even, its additive inverse is also even.
- If 5/14 is odd, its additive inverse is also odd.
- The sum of the digits of 5/14 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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