12.75 Additive Inverse :
The additive inverse of 12.75 is -12.75.
This means that when we add 12.75 and -12.75, the result is zero:
12.75 + (-12.75) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 12.75
- Additive inverse: -12.75
To verify: 12.75 + (-12.75) = 0
Extended Mathematical Exploration of 12.75
Let's explore various mathematical operations and concepts related to 12.75 and its additive inverse -12.75.
Basic Operations and Properties
- Square of 12.75: 162.5625
- Cube of 12.75: 2072.671875
- Square root of |12.75|: 3.5707142142714
- Reciprocal of 12.75: 0.07843137254902
- Double of 12.75: 25.5
- Half of 12.75: 6.375
- Absolute value of 12.75: 12.75
Trigonometric Functions
- Sine of 12.75: 0.18259913463113
- Cosine of 12.75: 0.98318744704759
- Tangent of 12.75: 0.18572158867514
Exponential and Logarithmic Functions
- e^12.75: 344551.89613782
- Natural log of 12.75: 2.5455312716044
Floor and Ceiling Functions
- Floor of 12.75: 12
- Ceiling of 12.75: 13
Interesting Properties and Relationships
- The sum of 12.75 and its additive inverse (-12.75) is always 0.
- The product of 12.75 and its additive inverse is: -162.5625
- The average of 12.75 and its additive inverse is always 0.
- The distance between 12.75 and its additive inverse on a number line is: 25.5
Applications in Algebra
Consider the equation: x + 12.75 = 0
The solution to this equation is x = -12.75, which is the additive inverse of 12.75.
Graphical Representation
On a coordinate plane:
- The point (12.75, 0) is reflected across the y-axis to (-12.75, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 12.75 and Its Additive Inverse
Consider the alternating series: 12.75 + (-12.75) + 12.75 + (-12.75) + ...
The sum of this series oscillates between 0 and 12.75, never converging unless 12.75 is 0.
In Number Theory
For integer values:
- If 12.75 is even, its additive inverse is also even.
- If 12.75 is odd, its additive inverse is also odd.
- The sum of the digits of 12.75 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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