15/28 Additive Inverse :
The additive inverse of 15/28 is -15/28.
This means that when we add 15/28 and -15/28, the result is zero:
15/28 + (-15/28) = 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: 15/28
- Additive inverse: -15/28
To verify: 15/28 + (-15/28) = 0
Extended Mathematical Exploration of 15/28
Let's explore various mathematical operations and concepts related to 15/28 and its additive inverse -15/28.
Basic Operations and Properties
- Square of 15/28: 0.28698979591837
- Cube of 15/28: 0.1537445335277
- Square root of |15/28|: 0.7319250547114
- Reciprocal of 15/28: 1.8666666666667
- Double of 15/28: 1.0714285714286
- Half of 15/28: 0.26785714285714
- Absolute value of 15/28: 0.53571428571429
Trigonometric Functions
- Sine of 15/28: 0.5104553869073
- Cosine of 15/28: 0.85990423767843
- Tangent of 15/28: 0.59361887584765
Exponential and Logarithmic Functions
- e^15/28: 1.7086682838188
- Natural log of 15/28: -0.62415430907299
Floor and Ceiling Functions
- Floor of 15/28: 0
- Ceiling of 15/28: 1
Interesting Properties and Relationships
- The sum of 15/28 and its additive inverse (-15/28) is always 0.
- The product of 15/28 and its additive inverse is: -225
- The average of 15/28 and its additive inverse is always 0.
- The distance between 15/28 and its additive inverse on a number line is: 30
Applications in Algebra
Consider the equation: x + 15/28 = 0
The solution to this equation is x = -15/28, which is the additive inverse of 15/28.
Graphical Representation
On a coordinate plane:
- The point (15/28, 0) is reflected across the y-axis to (-15/28, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15/28 and Its Additive Inverse
Consider the alternating series: 15/28 + (-15/28) + 15/28 + (-15/28) + ...
The sum of this series oscillates between 0 and 15/28, never converging unless 15/28 is 0.
In Number Theory
For integer values:
- If 15/28 is even, its additive inverse is also even.
- If 15/28 is odd, its additive inverse is also odd.
- The sum of the digits of 15/28 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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