13.379 Additive Inverse :
The additive inverse of 13.379 is -13.379.
This means that when we add 13.379 and -13.379, the result is zero:
13.379 + (-13.379) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 13.379
- Additive inverse: -13.379
To verify: 13.379 + (-13.379) = 0
Extended Mathematical Exploration of 13.379
Let's explore various mathematical operations and concepts related to 13.379 and its additive inverse -13.379.
Basic Operations and Properties
- Square of 13.379: 178.997641
- Cube of 13.379: 2394.809438939
- Square root of |13.379|: 3.6577315374423
- Reciprocal of 13.379: 0.074744001793856
- Double of 13.379: 26.758
- Half of 13.379: 6.6895
- Absolute value of 13.379: 13.379
Trigonometric Functions
- Sine of 13.379: 0.72609762582069
- Cosine of 13.379: 0.68759162136951
- Tangent of 13.379: 1.0560012706008
Exponential and Logarithmic Functions
- e^13.379: 646287.67436802
- Natural log of 13.379: 2.5936863134915
Floor and Ceiling Functions
- Floor of 13.379: 13
- Ceiling of 13.379: 14
Interesting Properties and Relationships
- The sum of 13.379 and its additive inverse (-13.379) is always 0.
- The product of 13.379 and its additive inverse is: -178.997641
- The average of 13.379 and its additive inverse is always 0.
- The distance between 13.379 and its additive inverse on a number line is: 26.758
Applications in Algebra
Consider the equation: x + 13.379 = 0
The solution to this equation is x = -13.379, which is the additive inverse of 13.379.
Graphical Representation
On a coordinate plane:
- The point (13.379, 0) is reflected across the y-axis to (-13.379, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13.379 and Its Additive Inverse
Consider the alternating series: 13.379 + (-13.379) + 13.379 + (-13.379) + ...
The sum of this series oscillates between 0 and 13.379, never converging unless 13.379 is 0.
In Number Theory
For integer values:
- If 13.379 is even, its additive inverse is also even.
- If 13.379 is odd, its additive inverse is also odd.
- The sum of the digits of 13.379 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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