13.675 Additive Inverse :
The additive inverse of 13.675 is -13.675.
This means that when we add 13.675 and -13.675, the result is zero:
13.675 + (-13.675) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 13.675
- Additive inverse: -13.675
To verify: 13.675 + (-13.675) = 0
Extended Mathematical Exploration of 13.675
Let's explore various mathematical operations and concepts related to 13.675 and its additive inverse -13.675.
Basic Operations and Properties
- Square of 13.675: 187.005625
- Cube of 13.675: 2557.301921875
- Square root of |13.675|: 3.6979724174201
- Reciprocal of 13.675: 0.073126142595978
- Double of 13.675: 27.35
- Half of 13.675: 6.8375
- Absolute value of 13.675: 13.675
Trigonometric Functions
- Sine of 13.675: 0.8950883850887
- Cosine of 13.675: 0.44588875617054
- Tangent of 13.675: 2.0074253335654
Exponential and Logarithmic Functions
- e^13.675: 868914.4909162
- Natural log of 13.675: 2.615569348308
Floor and Ceiling Functions
- Floor of 13.675: 13
- Ceiling of 13.675: 14
Interesting Properties and Relationships
- The sum of 13.675 and its additive inverse (-13.675) is always 0.
- The product of 13.675 and its additive inverse is: -187.005625
- The average of 13.675 and its additive inverse is always 0.
- The distance between 13.675 and its additive inverse on a number line is: 27.35
Applications in Algebra
Consider the equation: x + 13.675 = 0
The solution to this equation is x = -13.675, which is the additive inverse of 13.675.
Graphical Representation
On a coordinate plane:
- The point (13.675, 0) is reflected across the y-axis to (-13.675, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13.675 and Its Additive Inverse
Consider the alternating series: 13.675 + (-13.675) + 13.675 + (-13.675) + ...
The sum of this series oscillates between 0 and 13.675, never converging unless 13.675 is 0.
In Number Theory
For integer values:
- If 13.675 is even, its additive inverse is also even.
- If 13.675 is odd, its additive inverse is also odd.
- The sum of the digits of 13.675 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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