15.25 Additive Inverse :
The additive inverse of 15.25 is -15.25.
This means that when we add 15.25 and -15.25, the result is zero:
15.25 + (-15.25) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 15.25
- Additive inverse: -15.25
To verify: 15.25 + (-15.25) = 0
Extended Mathematical Exploration of 15.25
Let's explore various mathematical operations and concepts related to 15.25 and its additive inverse -15.25.
Basic Operations and Properties
- Square of 15.25: 232.5625
- Cube of 15.25: 3546.578125
- Square root of |15.25|: 3.9051248379533
- Reciprocal of 15.25: 0.065573770491803
- Double of 15.25: 30.5
- Half of 15.25: 7.625
- Absolute value of 15.25: 15.25
Trigonometric Functions
- Sine of 15.25: 0.44212216857654
- Cosine of 15.25: -0.89695484170229
- Tangent of 15.25: -0.4929146351866
Exponential and Logarithmic Functions
- e^15.25: 4197501.393848
- Natural log of 15.25: 2.7245795030534
Floor and Ceiling Functions
- Floor of 15.25: 15
- Ceiling of 15.25: 16
Interesting Properties and Relationships
- The sum of 15.25 and its additive inverse (-15.25) is always 0.
- The product of 15.25 and its additive inverse is: -232.5625
- The average of 15.25 and its additive inverse is always 0.
- The distance between 15.25 and its additive inverse on a number line is: 30.5
Applications in Algebra
Consider the equation: x + 15.25 = 0
The solution to this equation is x = -15.25, which is the additive inverse of 15.25.
Graphical Representation
On a coordinate plane:
- The point (15.25, 0) is reflected across the y-axis to (-15.25, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15.25 and Its Additive Inverse
Consider the alternating series: 15.25 + (-15.25) + 15.25 + (-15.25) + ...
The sum of this series oscillates between 0 and 15.25, never converging unless 15.25 is 0.
In Number Theory
For integer values:
- If 15.25 is even, its additive inverse is also even.
- If 15.25 is odd, its additive inverse is also odd.
- The sum of the digits of 15.25 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
Enter a number (whole number, decimal, or fraction) to find its additive inverse: