13.67 Additive Inverse :
The additive inverse of 13.67 is -13.67.
This means that when we add 13.67 and -13.67, the result is zero:
13.67 + (-13.67) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 13.67
- Additive inverse: -13.67
To verify: 13.67 + (-13.67) = 0
Extended Mathematical Exploration of 13.67
Let's explore various mathematical operations and concepts related to 13.67 and its additive inverse -13.67.
Basic Operations and Properties
- Square of 13.67: 186.8689
- Cube of 13.67: 2554.497863
- Square root of |13.67|: 3.6972963094672
- Reciprocal of 13.67: 0.073152889539137
- Double of 13.67: 27.34
- Half of 13.67: 6.835
- Absolute value of 13.67: 13.67
Trigonometric Functions
- Sine of 13.67: 0.89284776201568
- Cosine of 13.67: 0.45035860585049
- Tangent of 13.67: 1.98252625889
Exponential and Logarithmic Functions
- e^13.67: 864580.76181297
- Natural log of 13.67: 2.6152036507359
Floor and Ceiling Functions
- Floor of 13.67: 13
- Ceiling of 13.67: 14
Interesting Properties and Relationships
- The sum of 13.67 and its additive inverse (-13.67) is always 0.
- The product of 13.67 and its additive inverse is: -186.8689
- The average of 13.67 and its additive inverse is always 0.
- The distance between 13.67 and its additive inverse on a number line is: 27.34
Applications in Algebra
Consider the equation: x + 13.67 = 0
The solution to this equation is x = -13.67, which is the additive inverse of 13.67.
Graphical Representation
On a coordinate plane:
- The point (13.67, 0) is reflected across the y-axis to (-13.67, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13.67 and Its Additive Inverse
Consider the alternating series: 13.67 + (-13.67) + 13.67 + (-13.67) + ...
The sum of this series oscillates between 0 and 13.67, never converging unless 13.67 is 0.
In Number Theory
For integer values:
- If 13.67 is even, its additive inverse is also even.
- If 13.67 is odd, its additive inverse is also odd.
- The sum of the digits of 13.67 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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