14 Additive Inverse :
The additive inverse of 14 is -14.
This means that when we add 14 and -14, the result is zero:
14 + (-14) = 0
Additive Inverse of a Whole Number
For whole numbers, the additive inverse is the negative of that number:
- Original number: 14
- Additive inverse: -14
To verify: 14 + (-14) = 0
Extended Mathematical Exploration of 14
Let's explore various mathematical operations and concepts related to 14 and its additive inverse -14.
Basic Operations and Properties
- Square of 14: 196
- Cube of 14: 2744
- Square root of |14|: 3.7416573867739
- Reciprocal of 14: 0.071428571428571
- Double of 14: 28
- Half of 14: 7
- Absolute value of 14: 14
Trigonometric Functions
- Sine of 14: 0.99060735569487
- Cosine of 14: 0.13673721820783
- Tangent of 14: 7.2446066160948
Exponential and Logarithmic Functions
- e^14: 1202604.2841648
- Natural log of 14: 2.6390573296153
Floor and Ceiling Functions
- Floor of 14: 14
- Ceiling of 14: 14
Interesting Properties and Relationships
- The sum of 14 and its additive inverse (-14) is always 0.
- The product of 14 and its additive inverse is: -196
- The average of 14 and its additive inverse is always 0.
- The distance between 14 and its additive inverse on a number line is: 28
Applications in Algebra
Consider the equation: x + 14 = 0
The solution to this equation is x = -14, which is the additive inverse of 14.
Graphical Representation
On a coordinate plane:
- The point (14, 0) is reflected across the y-axis to (-14, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 14 and Its Additive Inverse
Consider the alternating series: 14 + (-14) + 14 + (-14) + ...
The sum of this series oscillates between 0 and 14, never converging unless 14 is 0.
In Number Theory
For integer values:
- If 14 is even, its additive inverse is also even.
- If 14 is odd, its additive inverse is also odd.
- The sum of the digits of 14 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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