2.25 Additive Inverse :
The additive inverse of 2.25 is -2.25.
This means that when we add 2.25 and -2.25, the result is zero:
2.25 + (-2.25) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 2.25
- Additive inverse: -2.25
To verify: 2.25 + (-2.25) = 0
Extended Mathematical Exploration of 2.25
Let's explore various mathematical operations and concepts related to 2.25 and its additive inverse -2.25.
Basic Operations and Properties
- Square of 2.25: 5.0625
- Cube of 2.25: 11.390625
- Square root of |2.25|: 1.5
- Reciprocal of 2.25: 0.44444444444444
- Double of 2.25: 4.5
- Half of 2.25: 1.125
- Absolute value of 2.25: 2.25
Trigonometric Functions
- Sine of 2.25: 0.77807319688792
- Cosine of 2.25: -0.62817362272274
- Tangent of 2.25: -1.2386276162241
Exponential and Logarithmic Functions
- e^2.25: 9.4877358363585
- Natural log of 2.25: 0.81093021621633
Floor and Ceiling Functions
- Floor of 2.25: 2
- Ceiling of 2.25: 3
Interesting Properties and Relationships
- The sum of 2.25 and its additive inverse (-2.25) is always 0.
- The product of 2.25 and its additive inverse is: -5.0625
- The average of 2.25 and its additive inverse is always 0.
- The distance between 2.25 and its additive inverse on a number line is: 4.5
Applications in Algebra
Consider the equation: x + 2.25 = 0
The solution to this equation is x = -2.25, which is the additive inverse of 2.25.
Graphical Representation
On a coordinate plane:
- The point (2.25, 0) is reflected across the y-axis to (-2.25, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 2.25 and Its Additive Inverse
Consider the alternating series: 2.25 + (-2.25) + 2.25 + (-2.25) + ...
The sum of this series oscillates between 0 and 2.25, never converging unless 2.25 is 0.
In Number Theory
For integer values:
- If 2.25 is even, its additive inverse is also even.
- If 2.25 is odd, its additive inverse is also odd.
- The sum of the digits of 2.25 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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