484 Additive Inverse :
The additive inverse of 484 is -484.
This means that when we add 484 and -484, the result is zero:
484 + (-484) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 484
- Additive inverse: -484
To verify: 484 + (-484) = 0
Extended Mathematical Exploration of 484
Let's explore various mathematical operations and concepts related to 484 and its additive inverse -484.
Basic Operations and Properties
- Square of 484: 234256
- Cube of 484: 113379904
- Square root of |484|: 22
- Reciprocal of 484: 0.0020661157024793
- Double of 484: 968
- Half of 484: 242
- Absolute value of 484: 484
Trigonometric Functions
- Sine of 484: 0.19350296674212
- Cosine of 484: 0.98109969007334
- Tangent of 484: 0.19723068786991
Exponential and Logarithmic Functions
- e^484: 1.5795349547066E+210
- Natural log of 484: 6.1820849067166
Floor and Ceiling Functions
- Floor of 484: 484
- Ceiling of 484: 484
Interesting Properties and Relationships
- The sum of 484 and its additive inverse (-484) is always 0.
- The product of 484 and its additive inverse is: -234256
- The average of 484 and its additive inverse is always 0.
- The distance between 484 and its additive inverse on a number line is: 968
Applications in Algebra
Consider the equation: x + 484 = 0
The solution to this equation is x = -484, which is the additive inverse of 484.
Graphical Representation
On a coordinate plane:
- The point (484, 0) is reflected across the y-axis to (-484, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 484 and Its Additive Inverse
Consider the alternating series: 484 + (-484) + 484 + (-484) + ...
The sum of this series oscillates between 0 and 484, never converging unless 484 is 0.
In Number Theory
For integer values:
- If 484 is even, its additive inverse is also even.
- If 484 is odd, its additive inverse is also odd.
- The sum of the digits of 484 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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