144 Additive Inverse :
The additive inverse of 144 is -144.
This means that when we add 144 and -144, the result is zero:
144 + (-144) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 144
- Additive inverse: -144
To verify: 144 + (-144) = 0
Extended Mathematical Exploration of 144
Let's explore various mathematical operations and concepts related to 144 and its additive inverse -144.
Basic Operations and Properties
- Square of 144: 20736
- Cube of 144: 2985984
- Square root of |144|: 12
- Reciprocal of 144: 0.0069444444444444
- Double of 144: 288
- Half of 144: 72
- Absolute value of 144: 144
Trigonometric Functions
- Sine of 144: -0.49102159389847
- Cosine of 144: 0.87114740103234
- Tangent of 144: -0.56364926683658
Exponential and Logarithmic Functions
- e^144: 3.4546606567175E+62
- Natural log of 144: 4.969813299576
Floor and Ceiling Functions
- Floor of 144: 144
- Ceiling of 144: 144
Interesting Properties and Relationships
- The sum of 144 and its additive inverse (-144) is always 0.
- The product of 144 and its additive inverse is: -20736
- The average of 144 and its additive inverse is always 0.
- The distance between 144 and its additive inverse on a number line is: 288
Applications in Algebra
Consider the equation: x + 144 = 0
The solution to this equation is x = -144, which is the additive inverse of 144.
Graphical Representation
On a coordinate plane:
- The point (144, 0) is reflected across the y-axis to (-144, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 144 and Its Additive Inverse
Consider the alternating series: 144 + (-144) + 144 + (-144) + ...
The sum of this series oscillates between 0 and 144, never converging unless 144 is 0.
In Number Theory
For integer values:
- If 144 is even, its additive inverse is also even.
- If 144 is odd, its additive inverse is also odd.
- The sum of the digits of 144 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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