14.2 Additive Inverse :
The additive inverse of 14.2 is -14.2.
This means that when we add 14.2 and -14.2, the result is zero:
14.2 + (-14.2) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 14.2
- Additive inverse: -14.2
To verify: 14.2 + (-14.2) = 0
Extended Mathematical Exploration of 14.2
Let's explore various mathematical operations and concepts related to 14.2 and its additive inverse -14.2.
Basic Operations and Properties
- Square of 14.2: 201.64
- Cube of 14.2: 2863.288
- Square root of |14.2|: 3.7682887362834
- Reciprocal of 14.2: 0.070422535211268
- Double of 14.2: 28.4
- Half of 14.2: 7.1
- Absolute value of 14.2: 14.2
Trigonometric Functions
- Sine of 14.2: 0.99802665271636
- Cosine of 14.2: -0.062791722924082
- Tangent of 14.2: -15.894239021328
Exponential and Logarithmic Functions
- e^14.2: 1468864.1896541
- Natural log of 14.2: 2.6532419646072
Floor and Ceiling Functions
- Floor of 14.2: 14
- Ceiling of 14.2: 15
Interesting Properties and Relationships
- The sum of 14.2 and its additive inverse (-14.2) is always 0.
- The product of 14.2 and its additive inverse is: -201.64
- The average of 14.2 and its additive inverse is always 0.
- The distance between 14.2 and its additive inverse on a number line is: 28.4
Applications in Algebra
Consider the equation: x + 14.2 = 0
The solution to this equation is x = -14.2, which is the additive inverse of 14.2.
Graphical Representation
On a coordinate plane:
- The point (14.2, 0) is reflected across the y-axis to (-14.2, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 14.2 and Its Additive Inverse
Consider the alternating series: 14.2 + (-14.2) + 14.2 + (-14.2) + ...
The sum of this series oscillates between 0 and 14.2, never converging unless 14.2 is 0.
In Number Theory
For integer values:
- If 14.2 is even, its additive inverse is also even.
- If 14.2 is odd, its additive inverse is also odd.
- The sum of the digits of 14.2 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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