55 Additive Inverse :
The additive inverse of 55 is -55.
This means that when we add 55 and -55, the result is zero:
55 + (-55) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 55
- Additive inverse: -55
To verify: 55 + (-55) = 0
Extended Mathematical Exploration of 55
Let's explore various mathematical operations and concepts related to 55 and its additive inverse -55.
Basic Operations and Properties
- Square of 55: 3025
- Cube of 55: 166375
- Square root of |55|: 7.4161984870957
- Reciprocal of 55: 0.018181818181818
- Double of 55: 110
- Half of 55: 27.5
- Absolute value of 55: 55
Trigonometric Functions
- Sine of 55: -0.99975517335862
- Cosine of 55: 0.022126756261956
- Tangent of 55: -45.183087910521
Exponential and Logarithmic Functions
- e^55: 7.694785265142E+23
- Natural log of 55: 4.0073331852325
Floor and Ceiling Functions
- Floor of 55: 55
- Ceiling of 55: 55
Interesting Properties and Relationships
- The sum of 55 and its additive inverse (-55) is always 0.
- The product of 55 and its additive inverse is: -3025
- The average of 55 and its additive inverse is always 0.
- The distance between 55 and its additive inverse on a number line is: 110
Applications in Algebra
Consider the equation: x + 55 = 0
The solution to this equation is x = -55, which is the additive inverse of 55.
Graphical Representation
On a coordinate plane:
- The point (55, 0) is reflected across the y-axis to (-55, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 55 and Its Additive Inverse
Consider the alternating series: 55 + (-55) + 55 + (-55) + ...
The sum of this series oscillates between 0 and 55, never converging unless 55 is 0.
In Number Theory
For integer values:
- If 55 is even, its additive inverse is also even.
- If 55 is odd, its additive inverse is also odd.
- The sum of the digits of 55 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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