13.25 Additive Inverse :
The additive inverse of 13.25 is -13.25.
This means that when we add 13.25 and -13.25, the result is zero:
13.25 + (-13.25) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 13.25
- Additive inverse: -13.25
To verify: 13.25 + (-13.25) = 0
Extended Mathematical Exploration of 13.25
Let's explore various mathematical operations and concepts related to 13.25 and its additive inverse -13.25.
Basic Operations and Properties
- Square of 13.25: 175.5625
- Cube of 13.25: 2326.203125
- Square root of |13.25|: 3.6400549446403
- Reciprocal of 13.25: 0.075471698113208
- Double of 13.25: 26.5
- Half of 13.25: 6.625
- Absolute value of 13.25: 13.25
Trigonometric Functions
- Sine of 13.25: 0.63161098771824
- Cosine of 13.25: 0.77528547012929
- Tangent of 13.25: 0.81468183276143
Exponential and Logarithmic Functions
- e^13.25: 568070.04002249
- Natural log of 13.25: 2.5839975524322
Floor and Ceiling Functions
- Floor of 13.25: 13
- Ceiling of 13.25: 14
Interesting Properties and Relationships
- The sum of 13.25 and its additive inverse (-13.25) is always 0.
- The product of 13.25 and its additive inverse is: -175.5625
- The average of 13.25 and its additive inverse is always 0.
- The distance between 13.25 and its additive inverse on a number line is: 26.5
Applications in Algebra
Consider the equation: x + 13.25 = 0
The solution to this equation is x = -13.25, which is the additive inverse of 13.25.
Graphical Representation
On a coordinate plane:
- The point (13.25, 0) is reflected across the y-axis to (-13.25, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13.25 and Its Additive Inverse
Consider the alternating series: 13.25 + (-13.25) + 13.25 + (-13.25) + ...
The sum of this series oscillates between 0 and 13.25, never converging unless 13.25 is 0.
In Number Theory
For integer values:
- If 13.25 is even, its additive inverse is also even.
- If 13.25 is odd, its additive inverse is also odd.
- The sum of the digits of 13.25 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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