0.2 Additive Inverse :
The additive inverse of 0.2 is -0.2.
This means that when we add 0.2 and -0.2, the result is zero:
0.2 + (-0.2) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 0.2
- Additive inverse: -0.2
To verify: 0.2 + (-0.2) = 0
Extended Mathematical Exploration of 0.2
Let's explore various mathematical operations and concepts related to 0.2 and its additive inverse -0.2.
Basic Operations and Properties
- Square of 0.2: 0.04
- Cube of 0.2: 0.008
- Square root of |0.2|: 0.44721359549996
- Reciprocal of 0.2: 5
- Double of 0.2: 0.4
- Half of 0.2: 0.1
- Absolute value of 0.2: 0.2
Trigonometric Functions
- Sine of 0.2: 0.19866933079506
- Cosine of 0.2: 0.98006657784124
- Tangent of 0.2: 0.20271003550867
Exponential and Logarithmic Functions
- e^0.2: 1.2214027581602
- Natural log of 0.2: -1.6094379124341
Floor and Ceiling Functions
- Floor of 0.2: 0
- Ceiling of 0.2: 1
Interesting Properties and Relationships
- The sum of 0.2 and its additive inverse (-0.2) is always 0.
- The product of 0.2 and its additive inverse is: -0.04
- The average of 0.2 and its additive inverse is always 0.
- The distance between 0.2 and its additive inverse on a number line is: 0.4
Applications in Algebra
Consider the equation: x + 0.2 = 0
The solution to this equation is x = -0.2, which is the additive inverse of 0.2.
Graphical Representation
On a coordinate plane:
- The point (0.2, 0) is reflected across the y-axis to (-0.2, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 0.2 and Its Additive Inverse
Consider the alternating series: 0.2 + (-0.2) + 0.2 + (-0.2) + ...
The sum of this series oscillates between 0 and 0.2, never converging unless 0.2 is 0.
In Number Theory
For integer values:
- If 0.2 is even, its additive inverse is also even.
- If 0.2 is odd, its additive inverse is also odd.
- The sum of the digits of 0.2 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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