11.489 Additive Inverse :
The additive inverse of 11.489 is -11.489.
This means that when we add 11.489 and -11.489, the result is zero:
11.489 + (-11.489) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 11.489
- Additive inverse: -11.489
To verify: 11.489 + (-11.489) = 0
Extended Mathematical Exploration of 11.489
Let's explore various mathematical operations and concepts related to 11.489 and its additive inverse -11.489.
Basic Operations and Properties
- Square of 11.489: 131.997121
- Cube of 11.489: 1516.514923169
- Square root of |11.489|: 3.3895427420229
- Reciprocal of 11.489: 0.08703977717817
- Double of 11.489: 22.978
- Half of 11.489: 5.7445
- Absolute value of 11.489: 11.489
Trigonometric Functions
- Sine of 11.489: -0.88071545549975
- Cosine of 11.489: 0.47364573939166
- Tangent of 11.489: -1.8594392016086
Exponential and Logarithmic Functions
- e^11.489: 97635.847995428
- Natural log of 11.489: 2.4413900558712
Floor and Ceiling Functions
- Floor of 11.489: 11
- Ceiling of 11.489: 12
Interesting Properties and Relationships
- The sum of 11.489 and its additive inverse (-11.489) is always 0.
- The product of 11.489 and its additive inverse is: -131.997121
- The average of 11.489 and its additive inverse is always 0.
- The distance between 11.489 and its additive inverse on a number line is: 22.978
Applications in Algebra
Consider the equation: x + 11.489 = 0
The solution to this equation is x = -11.489, which is the additive inverse of 11.489.
Graphical Representation
On a coordinate plane:
- The point (11.489, 0) is reflected across the y-axis to (-11.489, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 11.489 and Its Additive Inverse
Consider the alternating series: 11.489 + (-11.489) + 11.489 + (-11.489) + ...
The sum of this series oscillates between 0 and 11.489, never converging unless 11.489 is 0.
In Number Theory
For integer values:
- If 11.489 is even, its additive inverse is also even.
- If 11.489 is odd, its additive inverse is also odd.
- The sum of the digits of 11.489 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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