14/28 Additive Inverse :
The additive inverse of 14/28 is -14/28.
This means that when we add 14/28 and -14/28, the result is zero:
14/28 + (-14/28) = 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: 14/28
- Additive inverse: -14/28
To verify: 14/28 + (-14/28) = 0
Extended Mathematical Exploration of 14/28
Let's explore various mathematical operations and concepts related to 14/28 and its additive inverse -14/28.
Basic Operations and Properties
- Square of 14/28: 0.25
- Cube of 14/28: 0.125
- Square root of |14/28|: 0.70710678118655
- Reciprocal of 14/28: 2
- Double of 14/28: 1
- Half of 14/28: 0.25
- Absolute value of 14/28: 0.5
Trigonometric Functions
- Sine of 14/28: 0.4794255386042
- Cosine of 14/28: 0.87758256189037
- Tangent of 14/28: 0.54630248984379
Exponential and Logarithmic Functions
- e^14/28: 1.6487212707001
- Natural log of 14/28: -0.69314718055995
Floor and Ceiling Functions
- Floor of 14/28: 0
- Ceiling of 14/28: 1
Interesting Properties and Relationships
- The sum of 14/28 and its additive inverse (-14/28) is always 0.
- The product of 14/28 and its additive inverse is: -196
- The average of 14/28 and its additive inverse is always 0.
- The distance between 14/28 and its additive inverse on a number line is: 28
Applications in Algebra
Consider the equation: x + 14/28 = 0
The solution to this equation is x = -14/28, which is the additive inverse of 14/28.
Graphical Representation
On a coordinate plane:
- The point (14/28, 0) is reflected across the y-axis to (-14/28, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 14/28 and Its Additive Inverse
Consider the alternating series: 14/28 + (-14/28) + 14/28 + (-14/28) + ...
The sum of this series oscillates between 0 and 14/28, never converging unless 14/28 is 0.
In Number Theory
For integer values:
- If 14/28 is even, its additive inverse is also even.
- If 14/28 is odd, its additive inverse is also odd.
- The sum of the digits of 14/28 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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