8.75 Additive Inverse :
The additive inverse of 8.75 is -8.75.
This means that when we add 8.75 and -8.75, the result is zero:
8.75 + (-8.75) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 8.75
- Additive inverse: -8.75
To verify: 8.75 + (-8.75) = 0
Extended Mathematical Exploration of 8.75
Let's explore various mathematical operations and concepts related to 8.75 and its additive inverse -8.75.
Basic Operations and Properties
- Square of 8.75: 76.5625
- Cube of 8.75: 669.921875
- Square root of |8.75|: 2.9580398915498
- Reciprocal of 8.75: 0.11428571428571
- Double of 8.75: 17.5
- Half of 8.75: 4.375
- Absolute value of 8.75: 8.75
Trigonometric Functions
- Sine of 8.75: 0.62472395375419
- Cosine of 8.75: -0.78084568360575
- Tangent of 8.75: -0.80006071221317
Exponential and Logarithmic Functions
- e^8.75: 6310.688108089
- Natural log of 8.75: 2.1690537003695
Floor and Ceiling Functions
- Floor of 8.75: 8
- Ceiling of 8.75: 9
Interesting Properties and Relationships
- The sum of 8.75 and its additive inverse (-8.75) is always 0.
- The product of 8.75 and its additive inverse is: -76.5625
- The average of 8.75 and its additive inverse is always 0.
- The distance between 8.75 and its additive inverse on a number line is: 17.5
Applications in Algebra
Consider the equation: x + 8.75 = 0
The solution to this equation is x = -8.75, which is the additive inverse of 8.75.
Graphical Representation
On a coordinate plane:
- The point (8.75, 0) is reflected across the y-axis to (-8.75, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 8.75 and Its Additive Inverse
Consider the alternating series: 8.75 + (-8.75) + 8.75 + (-8.75) + ...
The sum of this series oscillates between 0 and 8.75, never converging unless 8.75 is 0.
In Number Theory
For integer values:
- If 8.75 is even, its additive inverse is also even.
- If 8.75 is odd, its additive inverse is also odd.
- The sum of the digits of 8.75 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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