15 Additive Inverse :
The additive inverse of 15 is -15.
This means that when we add 15 and -15, the result is zero:
15 + (-15) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 15
- Additive inverse: -15
To verify: 15 + (-15) = 0
Extended Mathematical Exploration of 15
Let's explore various mathematical operations and concepts related to 15 and its additive inverse -15.
Basic Operations and Properties
- Square of 15: 225
- Cube of 15: 3375
- Square root of |15|: 3.8729833462074
- Reciprocal of 15: 0.066666666666667
- Double of 15: 30
- Half of 15: 7.5
- Absolute value of 15: 15
Trigonometric Functions
- Sine of 15: 0.65028784015712
- Cosine of 15: -0.75968791285882
- Tangent of 15: -0.85599340090852
Exponential and Logarithmic Functions
- e^15: 3269017.3724721
- Natural log of 15: 2.7080502011022
Floor and Ceiling Functions
- Floor of 15: 15
- Ceiling of 15: 15
Interesting Properties and Relationships
- The sum of 15 and its additive inverse (-15) is always 0.
- The product of 15 and its additive inverse is: -225
- The average of 15 and its additive inverse is always 0.
- The distance between 15 and its additive inverse on a number line is: 30
Applications in Algebra
Consider the equation: x + 15 = 0
The solution to this equation is x = -15, which is the additive inverse of 15.
Graphical Representation
On a coordinate plane:
- The point (15, 0) is reflected across the y-axis to (-15, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15 and Its Additive Inverse
Consider the alternating series: 15 + (-15) + 15 + (-15) + ...
The sum of this series oscillates between 0 and 15, never converging unless 15 is 0.
In Number Theory
For integer values:
- If 15 is even, its additive inverse is also even.
- If 15 is odd, its additive inverse is also odd.
- The sum of the digits of 15 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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