5.5 Additive Inverse :
The additive inverse of 5.5 is -5.5.
This means that when we add 5.5 and -5.5, the result is zero:
5.5 + (-5.5) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 5.5
- Additive inverse: -5.5
To verify: 5.5 + (-5.5) = 0
Extended Mathematical Exploration of 5.5
Let's explore various mathematical operations and concepts related to 5.5 and its additive inverse -5.5.
Basic Operations and Properties
- Square of 5.5: 30.25
- Cube of 5.5: 166.375
- Square root of |5.5|: 2.3452078799117
- Reciprocal of 5.5: 0.18181818181818
- Double of 5.5: 11
- Half of 5.5: 2.75
- Absolute value of 5.5: 5.5
Trigonometric Functions
- Sine of 5.5: -0.70554032557039
- Cosine of 5.5: 0.70866977429126
- Tangent of 5.5: -0.99558405221389
Exponential and Logarithmic Functions
- e^5.5: 244.69193226422
- Natural log of 5.5: 1.7047480922384
Floor and Ceiling Functions
- Floor of 5.5: 5
- Ceiling of 5.5: 6
Interesting Properties and Relationships
- The sum of 5.5 and its additive inverse (-5.5) is always 0.
- The product of 5.5 and its additive inverse is: -30.25
- The average of 5.5 and its additive inverse is always 0.
- The distance between 5.5 and its additive inverse on a number line is: 11
Applications in Algebra
Consider the equation: x + 5.5 = 0
The solution to this equation is x = -5.5, which is the additive inverse of 5.5.
Graphical Representation
On a coordinate plane:
- The point (5.5, 0) is reflected across the y-axis to (-5.5, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 5.5 and Its Additive Inverse
Consider the alternating series: 5.5 + (-5.5) + 5.5 + (-5.5) + ...
The sum of this series oscillates between 0 and 5.5, never converging unless 5.5 is 0.
In Number Theory
For integer values:
- If 5.5 is even, its additive inverse is also even.
- If 5.5 is odd, its additive inverse is also odd.
- The sum of the digits of 5.5 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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