6.88 Additive Inverse :
The additive inverse of 6.88 is -6.88.
This means that when we add 6.88 and -6.88, the result is zero:
6.88 + (-6.88) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 6.88
- Additive inverse: -6.88
To verify: 6.88 + (-6.88) = 0
Extended Mathematical Exploration of 6.88
Let's explore various mathematical operations and concepts related to 6.88 and its additive inverse -6.88.
Basic Operations and Properties
- Square of 6.88: 47.3344
- Cube of 6.88: 325.660672
- Square root of |6.88|: 2.6229754097208
- Reciprocal of 6.88: 0.1453488372093
- Double of 6.88: 13.76
- Half of 6.88: 3.44
- Absolute value of 6.88: 6.88
Trigonometric Functions
- Sine of 6.88: 0.56201066590074
- Cosine of 6.88: 0.8271299845936
- Tangent of 6.88: 0.67947079222002
Exponential and Logarithmic Functions
- e^6.88: 972.62635979188
- Natural log of 6.88: 1.9286186519453
Floor and Ceiling Functions
- Floor of 6.88: 6
- Ceiling of 6.88: 7
Interesting Properties and Relationships
- The sum of 6.88 and its additive inverse (-6.88) is always 0.
- The product of 6.88 and its additive inverse is: -47.3344
- The average of 6.88 and its additive inverse is always 0.
- The distance between 6.88 and its additive inverse on a number line is: 13.76
Applications in Algebra
Consider the equation: x + 6.88 = 0
The solution to this equation is x = -6.88, which is the additive inverse of 6.88.
Graphical Representation
On a coordinate plane:
- The point (6.88, 0) is reflected across the y-axis to (-6.88, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 6.88 and Its Additive Inverse
Consider the alternating series: 6.88 + (-6.88) + 6.88 + (-6.88) + ...
The sum of this series oscillates between 0 and 6.88, never converging unless 6.88 is 0.
In Number Theory
For integer values:
- If 6.88 is even, its additive inverse is also even.
- If 6.88 is odd, its additive inverse is also odd.
- The sum of the digits of 6.88 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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