2 Additive Inverse :
The additive inverse of 2 is -2.
This means that when we add 2 and -2, the result is zero:
2 + (-2) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 2
- Additive inverse: -2
To verify: 2 + (-2) = 0
Extended Mathematical Exploration of 2
Let's explore various mathematical operations and concepts related to 2 and its additive inverse -2.
Basic Operations and Properties
- Square of 2: 4
- Cube of 2: 8
- Square root of |2|: 1.4142135623731
- Reciprocal of 2: 0.5
- Double of 2: 4
- Half of 2: 1
- Absolute value of 2: 2
Trigonometric Functions
- Sine of 2: 0.90929742682568
- Cosine of 2: -0.41614683654714
- Tangent of 2: -2.1850398632615
Exponential and Logarithmic Functions
- e^2: 7.3890560989307
- Natural log of 2: 0.69314718055995
Floor and Ceiling Functions
- Floor of 2: 2
- Ceiling of 2: 2
Interesting Properties and Relationships
- The sum of 2 and its additive inverse (-2) is always 0.
- The product of 2 and its additive inverse is: -4
- The average of 2 and its additive inverse is always 0.
- The distance between 2 and its additive inverse on a number line is: 4
Applications in Algebra
Consider the equation: x + 2 = 0
The solution to this equation is x = -2, which is the additive inverse of 2.
Graphical Representation
On a coordinate plane:
- The point (2, 0) is reflected across the y-axis to (-2, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 2 and Its Additive Inverse
Consider the alternating series: 2 + (-2) + 2 + (-2) + ...
The sum of this series oscillates between 0 and 2, never converging unless 2 is 0.
In Number Theory
For integer values:
- If 2 is even, its additive inverse is also even.
- If 2 is odd, its additive inverse is also odd.
- The sum of the digits of 2 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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