11.25 Additive Inverse :
The additive inverse of 11.25 is -11.25.
This means that when we add 11.25 and -11.25, the result is zero:
11.25 + (-11.25) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 11.25
- Additive inverse: -11.25
To verify: 11.25 + (-11.25) = 0
Extended Mathematical Exploration of 11.25
Let's explore various mathematical operations and concepts related to 11.25 and its additive inverse -11.25.
Basic Operations and Properties
- Square of 11.25: 126.5625
- Cube of 11.25: 1423.828125
- Square root of |11.25|: 3.3541019662497
- Reciprocal of 11.25: 0.088888888888889
- Double of 11.25: 22.5
- Half of 11.25: 5.625
- Absolute value of 11.25: 11.25
Trigonometric Functions
- Sine of 11.25: -0.96780799751126
- Cosine of 11.25: 0.25168965007175
- Tangent of 11.25: -3.8452435260463
Exponential and Logarithmic Functions
- e^11.25: 76879.919764678
- Natural log of 11.25: 2.4203681286504
Floor and Ceiling Functions
- Floor of 11.25: 11
- Ceiling of 11.25: 12
Interesting Properties and Relationships
- The sum of 11.25 and its additive inverse (-11.25) is always 0.
- The product of 11.25 and its additive inverse is: -126.5625
- The average of 11.25 and its additive inverse is always 0.
- The distance between 11.25 and its additive inverse on a number line is: 22.5
Applications in Algebra
Consider the equation: x + 11.25 = 0
The solution to this equation is x = -11.25, which is the additive inverse of 11.25.
Graphical Representation
On a coordinate plane:
- The point (11.25, 0) is reflected across the y-axis to (-11.25, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 11.25 and Its Additive Inverse
Consider the alternating series: 11.25 + (-11.25) + 11.25 + (-11.25) + ...
The sum of this series oscillates between 0 and 11.25, never converging unless 11.25 is 0.
In Number Theory
For integer values:
- If 11.25 is even, its additive inverse is also even.
- If 11.25 is odd, its additive inverse is also odd.
- The sum of the digits of 11.25 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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