10.75 Additive Inverse :
The additive inverse of 10.75 is -10.75.
This means that when we add 10.75 and -10.75, the result is zero:
10.75 + (-10.75) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 10.75
- Additive inverse: -10.75
To verify: 10.75 + (-10.75) = 0
Extended Mathematical Exploration of 10.75
Let's explore various mathematical operations and concepts related to 10.75 and its additive inverse -10.75.
Basic Operations and Properties
- Square of 10.75: 115.5625
- Cube of 10.75: 1242.296875
- Square root of |10.75|: 3.278719262151
- Reciprocal of 10.75: 0.093023255813953
- Double of 10.75: 21.5
- Half of 10.75: 5.375
- Absolute value of 10.75: 10.75
Trigonometric Functions
- Sine of 10.75: -0.96999786792068
- Cosine of 10.75: -0.24311342256103
- Tangent of 10.75: 3.9898984502889
Exponential and Logarithmic Functions
- e^10.75: 46630.028453524
- Natural log of 10.75: 2.3749057545737
Floor and Ceiling Functions
- Floor of 10.75: 10
- Ceiling of 10.75: 11
Interesting Properties and Relationships
- The sum of 10.75 and its additive inverse (-10.75) is always 0.
- The product of 10.75 and its additive inverse is: -115.5625
- The average of 10.75 and its additive inverse is always 0.
- The distance between 10.75 and its additive inverse on a number line is: 21.5
Applications in Algebra
Consider the equation: x + 10.75 = 0
The solution to this equation is x = -10.75, which is the additive inverse of 10.75.
Graphical Representation
On a coordinate plane:
- The point (10.75, 0) is reflected across the y-axis to (-10.75, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 10.75 and Its Additive Inverse
Consider the alternating series: 10.75 + (-10.75) + 10.75 + (-10.75) + ...
The sum of this series oscillates between 0 and 10.75, never converging unless 10.75 is 0.
In Number Theory
For integer values:
- If 10.75 is even, its additive inverse is also even.
- If 10.75 is odd, its additive inverse is also odd.
- The sum of the digits of 10.75 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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