2.5 Additive Inverse :
The additive inverse of 2.5 is -2.5.
This means that when we add 2.5 and -2.5, the result is zero:
2.5 + (-2.5) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 2.5
- Additive inverse: -2.5
To verify: 2.5 + (-2.5) = 0
Extended Mathematical Exploration of 2.5
Let's explore various mathematical operations and concepts related to 2.5 and its additive inverse -2.5.
Basic Operations and Properties
- Square of 2.5: 6.25
- Cube of 2.5: 15.625
- Square root of |2.5|: 1.5811388300842
- Reciprocal of 2.5: 0.4
- Double of 2.5: 5
- Half of 2.5: 1.25
- Absolute value of 2.5: 2.5
Trigonometric Functions
- Sine of 2.5: 0.59847214410396
- Cosine of 2.5: -0.80114361554693
- Tangent of 2.5: -0.74702229723866
Exponential and Logarithmic Functions
- e^2.5: 12.182493960703
- Natural log of 2.5: 0.91629073187416
Floor and Ceiling Functions
- Floor of 2.5: 2
- Ceiling of 2.5: 3
Interesting Properties and Relationships
- The sum of 2.5 and its additive inverse (-2.5) is always 0.
- The product of 2.5 and its additive inverse is: -6.25
- The average of 2.5 and its additive inverse is always 0.
- The distance between 2.5 and its additive inverse on a number line is: 5
Applications in Algebra
Consider the equation: x + 2.5 = 0
The solution to this equation is x = -2.5, which is the additive inverse of 2.5.
Graphical Representation
On a coordinate plane:
- The point (2.5, 0) is reflected across the y-axis to (-2.5, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 2.5 and Its Additive Inverse
Consider the alternating series: 2.5 + (-2.5) + 2.5 + (-2.5) + ...
The sum of this series oscillates between 0 and 2.5, never converging unless 2.5 is 0.
In Number Theory
For integer values:
- If 2.5 is even, its additive inverse is also even.
- If 2.5 is odd, its additive inverse is also odd.
- The sum of the digits of 2.5 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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