13.5 Additive Inverse :
The additive inverse of 13.5 is -13.5.
This means that when we add 13.5 and -13.5, the result is zero:
13.5 + (-13.5) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 13.5
- Additive inverse: -13.5
To verify: 13.5 + (-13.5) = 0
Extended Mathematical Exploration of 13.5
Let's explore various mathematical operations and concepts related to 13.5 and its additive inverse -13.5.
Basic Operations and Properties
- Square of 13.5: 182.25
- Cube of 13.5: 2460.375
- Square root of |13.5|: 3.6742346141748
- Reciprocal of 13.5: 0.074074074074074
- Double of 13.5: 27
- Half of 13.5: 6.75
- Absolute value of 13.5: 13.5
Trigonometric Functions
- Sine of 13.5: 0.80378442655162
- Cosine of 13.5: 0.59492066330989
- Tangent of 13.5: 1.351078347287
Exponential and Logarithmic Functions
- e^13.5: 729416.3698477
- Natural log of 13.5: 2.6026896854444
Floor and Ceiling Functions
- Floor of 13.5: 13
- Ceiling of 13.5: 14
Interesting Properties and Relationships
- The sum of 13.5 and its additive inverse (-13.5) is always 0.
- The product of 13.5 and its additive inverse is: -182.25
- The average of 13.5 and its additive inverse is always 0.
- The distance between 13.5 and its additive inverse on a number line is: 27
Applications in Algebra
Consider the equation: x + 13.5 = 0
The solution to this equation is x = -13.5, which is the additive inverse of 13.5.
Graphical Representation
On a coordinate plane:
- The point (13.5, 0) is reflected across the y-axis to (-13.5, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13.5 and Its Additive Inverse
Consider the alternating series: 13.5 + (-13.5) + 13.5 + (-13.5) + ...
The sum of this series oscillates between 0 and 13.5, never converging unless 13.5 is 0.
In Number Theory
For integer values:
- If 13.5 is even, its additive inverse is also even.
- If 13.5 is odd, its additive inverse is also odd.
- The sum of the digits of 13.5 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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