13.71 Additive Inverse :
The additive inverse of 13.71 is -13.71.
This means that when we add 13.71 and -13.71, the result is zero:
13.71 + (-13.71) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 13.71
- Additive inverse: -13.71
To verify: 13.71 + (-13.71) = 0
Extended Mathematical Exploration of 13.71
Let's explore various mathematical operations and concepts related to 13.71 and its additive inverse -13.71.
Basic Operations and Properties
- Square of 13.71: 187.9641
- Cube of 13.71: 2576.987811
- Square root of |13.71|: 3.7027017163147
- Reciprocal of 13.71: 0.072939460247994
- Double of 13.71: 27.42
- Half of 13.71: 6.855
- Absolute value of 13.71: 13.71
Trigonometric Functions
- Sine of 13.71: 0.91014311983126
- Cosine of 13.71: 0.41429397946846
- Tangent of 13.71: 2.196853357606
Exponential and Logarithmic Functions
- e^13.71: 899864.9720544
- Natural log of 13.71: 2.6181254935742
Floor and Ceiling Functions
- Floor of 13.71: 13
- Ceiling of 13.71: 14
Interesting Properties and Relationships
- The sum of 13.71 and its additive inverse (-13.71) is always 0.
- The product of 13.71 and its additive inverse is: -187.9641
- The average of 13.71 and its additive inverse is always 0.
- The distance between 13.71 and its additive inverse on a number line is: 27.42
Applications in Algebra
Consider the equation: x + 13.71 = 0
The solution to this equation is x = -13.71, which is the additive inverse of 13.71.
Graphical Representation
On a coordinate plane:
- The point (13.71, 0) is reflected across the y-axis to (-13.71, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13.71 and Its Additive Inverse
Consider the alternating series: 13.71 + (-13.71) + 13.71 + (-13.71) + ...
The sum of this series oscillates between 0 and 13.71, never converging unless 13.71 is 0.
In Number Theory
For integer values:
- If 13.71 is even, its additive inverse is also even.
- If 13.71 is odd, its additive inverse is also odd.
- The sum of the digits of 13.71 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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