0.5 Additive Inverse :
The additive inverse of 0.5 is -0.5.
This means that when we add 0.5 and -0.5, the result is zero:
0.5 + (-0.5) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 0.5
- Additive inverse: -0.5
To verify: 0.5 + (-0.5) = 0
Extended Mathematical Exploration of 0.5
Let's explore various mathematical operations and concepts related to 0.5 and its additive inverse -0.5.
Basic Operations and Properties
- Square of 0.5: 0.25
- Cube of 0.5: 0.125
- Square root of |0.5|: 0.70710678118655
- Reciprocal of 0.5: 2
- Double of 0.5: 1
- Half of 0.5: 0.25
- Absolute value of 0.5: 0.5
Trigonometric Functions
- Sine of 0.5: 0.4794255386042
- Cosine of 0.5: 0.87758256189037
- Tangent of 0.5: 0.54630248984379
Exponential and Logarithmic Functions
- e^0.5: 1.6487212707001
- Natural log of 0.5: -0.69314718055995
Floor and Ceiling Functions
- Floor of 0.5: 0
- Ceiling of 0.5: 1
Interesting Properties and Relationships
- The sum of 0.5 and its additive inverse (-0.5) is always 0.
- The product of 0.5 and its additive inverse is: -0.25
- The average of 0.5 and its additive inverse is always 0.
- The distance between 0.5 and its additive inverse on a number line is: 1
Applications in Algebra
Consider the equation: x + 0.5 = 0
The solution to this equation is x = -0.5, which is the additive inverse of 0.5.
Graphical Representation
On a coordinate plane:
- The point (0.5, 0) is reflected across the y-axis to (-0.5, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 0.5 and Its Additive Inverse
Consider the alternating series: 0.5 + (-0.5) + 0.5 + (-0.5) + ...
The sum of this series oscillates between 0 and 0.5, never converging unless 0.5 is 0.
In Number Theory
For integer values:
- If 0.5 is even, its additive inverse is also even.
- If 0.5 is odd, its additive inverse is also odd.
- The sum of the digits of 0.5 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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