15.5 Additive Inverse :
The additive inverse of 15.5 is -15.5.
This means that when we add 15.5 and -15.5, the result is zero:
15.5 + (-15.5) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 15.5
- Additive inverse: -15.5
To verify: 15.5 + (-15.5) = 0
Extended Mathematical Exploration of 15.5
Let's explore various mathematical operations and concepts related to 15.5 and its additive inverse -15.5.
Basic Operations and Properties
- Square of 15.5: 240.25
- Cube of 15.5: 3723.875
- Square root of |15.5|: 3.9370039370059
- Reciprocal of 15.5: 0.064516129032258
- Double of 15.5: 31
- Half of 15.5: 7.75
- Absolute value of 15.5: 15.5
Trigonometric Functions
- Sine of 15.5: 0.2064674819378
- Cosine of 15.5: -0.97845346281888
- Tangent of 15.5: -0.21101410520126
Exponential and Logarithmic Functions
- e^15.5: 5389698.476283
- Natural log of 15.5: 2.7408400239252
Floor and Ceiling Functions
- Floor of 15.5: 15
- Ceiling of 15.5: 16
Interesting Properties and Relationships
- The sum of 15.5 and its additive inverse (-15.5) is always 0.
- The product of 15.5 and its additive inverse is: -240.25
- The average of 15.5 and its additive inverse is always 0.
- The distance between 15.5 and its additive inverse on a number line is: 31
Applications in Algebra
Consider the equation: x + 15.5 = 0
The solution to this equation is x = -15.5, which is the additive inverse of 15.5.
Graphical Representation
On a coordinate plane:
- The point (15.5, 0) is reflected across the y-axis to (-15.5, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15.5 and Its Additive Inverse
Consider the alternating series: 15.5 + (-15.5) + 15.5 + (-15.5) + ...
The sum of this series oscillates between 0 and 15.5, never converging unless 15.5 is 0.
In Number Theory
For integer values:
- If 15.5 is even, its additive inverse is also even.
- If 15.5 is odd, its additive inverse is also odd.
- The sum of the digits of 15.5 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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