13.8 Additive Inverse :
The additive inverse of 13.8 is -13.8.
This means that when we add 13.8 and -13.8, the result is zero:
13.8 + (-13.8) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 13.8
- Additive inverse: -13.8
To verify: 13.8 + (-13.8) = 0
Extended Mathematical Exploration of 13.8
Let's explore various mathematical operations and concepts related to 13.8 and its additive inverse -13.8.
Basic Operations and Properties
- Square of 13.8: 190.44
- Cube of 13.8: 2628.072
- Square root of |13.8|: 3.7148351242013
- Reciprocal of 13.8: 0.072463768115942
- Double of 13.8: 27.6
- Half of 13.8: 6.9
- Absolute value of 13.8: 13.8
Trigonometric Functions
- Sine of 13.8: 0.9436956694441
- Cosine of 13.8: 0.33081487794905
- Tangent of 13.8: 2.8526397461164
Exponential and Logarithmic Functions
- e^13.8: 984609.11122904
- Natural log of 13.8: 2.6246685921632
Floor and Ceiling Functions
- Floor of 13.8: 13
- Ceiling of 13.8: 14
Interesting Properties and Relationships
- The sum of 13.8 and its additive inverse (-13.8) is always 0.
- The product of 13.8 and its additive inverse is: -190.44
- The average of 13.8 and its additive inverse is always 0.
- The distance between 13.8 and its additive inverse on a number line is: 27.6
Applications in Algebra
Consider the equation: x + 13.8 = 0
The solution to this equation is x = -13.8, which is the additive inverse of 13.8.
Graphical Representation
On a coordinate plane:
- The point (13.8, 0) is reflected across the y-axis to (-13.8, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13.8 and Its Additive Inverse
Consider the alternating series: 13.8 + (-13.8) + 13.8 + (-13.8) + ...
The sum of this series oscillates between 0 and 13.8, never converging unless 13.8 is 0.
In Number Theory
For integer values:
- If 13.8 is even, its additive inverse is also even.
- If 13.8 is odd, its additive inverse is also odd.
- The sum of the digits of 13.8 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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