11.75 Additive Inverse :
The additive inverse of 11.75 is -11.75.
This means that when we add 11.75 and -11.75, the result is zero:
11.75 + (-11.75) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 11.75
- Additive inverse: -11.75
To verify: 11.75 + (-11.75) = 0
Extended Mathematical Exploration of 11.75
Let's explore various mathematical operations and concepts related to 11.75 and its additive inverse -11.75.
Basic Operations and Properties
- Square of 11.75: 138.0625
- Cube of 11.75: 1622.234375
- Square root of |11.75|: 3.4278273002005
- Reciprocal of 11.75: 0.085106382978723
- Double of 11.75: 23.5
- Half of 11.75: 5.875
- Absolute value of 11.75: 11.75
Trigonometric Functions
- Sine of 11.75: -0.72866497582717
- Cosine of 11.75: 0.68487031838355
- Tangent of 11.75: -1.063945912486
Exponential and Logarithmic Functions
- e^11.75: 126753.55900574
- Natural log of 11.75: 2.4638532405902
Floor and Ceiling Functions
- Floor of 11.75: 11
- Ceiling of 11.75: 12
Interesting Properties and Relationships
- The sum of 11.75 and its additive inverse (-11.75) is always 0.
- The product of 11.75 and its additive inverse is: -138.0625
- The average of 11.75 and its additive inverse is always 0.
- The distance between 11.75 and its additive inverse on a number line is: 23.5
Applications in Algebra
Consider the equation: x + 11.75 = 0
The solution to this equation is x = -11.75, which is the additive inverse of 11.75.
Graphical Representation
On a coordinate plane:
- The point (11.75, 0) is reflected across the y-axis to (-11.75, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 11.75 and Its Additive Inverse
Consider the alternating series: 11.75 + (-11.75) + 11.75 + (-11.75) + ...
The sum of this series oscillates between 0 and 11.75, never converging unless 11.75 is 0.
In Number Theory
For integer values:
- If 11.75 is even, its additive inverse is also even.
- If 11.75 is odd, its additive inverse is also odd.
- The sum of the digits of 11.75 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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