6.4 Additive Inverse :
The additive inverse of 6.4 is -6.4.
This means that when we add 6.4 and -6.4, the result is zero:
6.4 + (-6.4) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 6.4
- Additive inverse: -6.4
To verify: 6.4 + (-6.4) = 0
Extended Mathematical Exploration of 6.4
Let's explore various mathematical operations and concepts related to 6.4 and its additive inverse -6.4.
Basic Operations and Properties
- Square of 6.4: 40.96
- Cube of 6.4: 262.144
- Square root of |6.4|: 2.5298221281347
- Reciprocal of 6.4: 0.15625
- Double of 6.4: 12.8
- Half of 6.4: 3.2
- Absolute value of 6.4: 6.4
Trigonometric Functions
- Sine of 6.4: 0.11654920485049
- Cosine of 6.4: 0.99318491875819
- Tangent of 6.4: 0.11734894746108
Exponential and Logarithmic Functions
- e^6.4: 601.84503787208
- Natural log of 6.4: 1.8562979903656
Floor and Ceiling Functions
- Floor of 6.4: 6
- Ceiling of 6.4: 7
Interesting Properties and Relationships
- The sum of 6.4 and its additive inverse (-6.4) is always 0.
- The product of 6.4 and its additive inverse is: -40.96
- The average of 6.4 and its additive inverse is always 0.
- The distance between 6.4 and its additive inverse on a number line is: 12.8
Applications in Algebra
Consider the equation: x + 6.4 = 0
The solution to this equation is x = -6.4, which is the additive inverse of 6.4.
Graphical Representation
On a coordinate plane:
- The point (6.4, 0) is reflected across the y-axis to (-6.4, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 6.4 and Its Additive Inverse
Consider the alternating series: 6.4 + (-6.4) + 6.4 + (-6.4) + ...
The sum of this series oscillates between 0 and 6.4, never converging unless 6.4 is 0.
In Number Theory
For integer values:
- If 6.4 is even, its additive inverse is also even.
- If 6.4 is odd, its additive inverse is also odd.
- The sum of the digits of 6.4 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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