13.964 Additive Inverse :
The additive inverse of 13.964 is -13.964.
This means that when we add 13.964 and -13.964, the result is zero:
13.964 + (-13.964) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 13.964
- Additive inverse: -13.964
To verify: 13.964 + (-13.964) = 0
Extended Mathematical Exploration of 13.964
Let's explore various mathematical operations and concepts related to 13.964 and its additive inverse -13.964.
Basic Operations and Properties
- Square of 13.964: 194.993296
- Cube of 13.964: 2722.886385344
- Square root of |13.964|: 3.7368435878426
- Reciprocal of 13.964: 0.071612718418791
- Double of 13.964: 27.928
- Half of 13.964: 6.982
- Absolute value of 13.964: 13.964
Trigonometric Functions
- Sine of 13.964: 0.98504403479628
- Cosine of 13.964: 0.17230278440079
- Tangent of 13.964: 5.7169362539434
Exponential and Logarithmic Functions
- e^13.964: 1160080.5496208
- Natural log of 13.964: 2.6364825892428
Floor and Ceiling Functions
- Floor of 13.964: 13
- Ceiling of 13.964: 14
Interesting Properties and Relationships
- The sum of 13.964 and its additive inverse (-13.964) is always 0.
- The product of 13.964 and its additive inverse is: -194.993296
- The average of 13.964 and its additive inverse is always 0.
- The distance between 13.964 and its additive inverse on a number line is: 27.928
Applications in Algebra
Consider the equation: x + 13.964 = 0
The solution to this equation is x = -13.964, which is the additive inverse of 13.964.
Graphical Representation
On a coordinate plane:
- The point (13.964, 0) is reflected across the y-axis to (-13.964, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13.964 and Its Additive Inverse
Consider the alternating series: 13.964 + (-13.964) + 13.964 + (-13.964) + ...
The sum of this series oscillates between 0 and 13.964, never converging unless 13.964 is 0.
In Number Theory
For integer values:
- If 13.964 is even, its additive inverse is also even.
- If 13.964 is odd, its additive inverse is also odd.
- The sum of the digits of 13.964 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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