15.75 Additive Inverse :
The additive inverse of 15.75 is -15.75.
This means that when we add 15.75 and -15.75, the result is zero:
15.75 + (-15.75) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 15.75
- Additive inverse: -15.75
To verify: 15.75 + (-15.75) = 0
Extended Mathematical Exploration of 15.75
Let's explore various mathematical operations and concepts related to 15.75 and its additive inverse -15.75.
Basic Operations and Properties
- Square of 15.75: 248.0625
- Cube of 15.75: 3906.984375
- Square root of |15.75|: 3.9686269665969
- Reciprocal of 15.75: 0.063492063492063
- Double of 15.75: 31.5
- Half of 15.75: 7.875
- Absolute value of 15.75: 15.75
Trigonometric Functions
- Sine of 15.75: -0.042024352718841
- Cosine of 15.75: -0.99911658667973
- Tangent of 15.75: 0.042061510417414
Exponential and Logarithmic Functions
- e^15.75: 6920509.8318306
- Natural log of 15.75: 2.7568403652716
Floor and Ceiling Functions
- Floor of 15.75: 15
- Ceiling of 15.75: 16
Interesting Properties and Relationships
- The sum of 15.75 and its additive inverse (-15.75) is always 0.
- The product of 15.75 and its additive inverse is: -248.0625
- The average of 15.75 and its additive inverse is always 0.
- The distance between 15.75 and its additive inverse on a number line is: 31.5
Applications in Algebra
Consider the equation: x + 15.75 = 0
The solution to this equation is x = -15.75, which is the additive inverse of 15.75.
Graphical Representation
On a coordinate plane:
- The point (15.75, 0) is reflected across the y-axis to (-15.75, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15.75 and Its Additive Inverse
Consider the alternating series: 15.75 + (-15.75) + 15.75 + (-15.75) + ...
The sum of this series oscillates between 0 and 15.75, never converging unless 15.75 is 0.
In Number Theory
For integer values:
- If 15.75 is even, its additive inverse is also even.
- If 15.75 is odd, its additive inverse is also odd.
- The sum of the digits of 15.75 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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