2/16 Additive Inverse :
The additive inverse of 2/16 is -2/16.
This means that when we add 2/16 and -2/16, the result is zero:
2/16 + (-2/16) = 0
Additive Inverse of a Fraction
For fractions, the additive inverse is found by negating the numerator or denominator, but not both. In this case:
- Original fraction: 2/16
- Additive inverse: -2/16
To verify: 2/16 + (-2/16) = 0
Extended Mathematical Exploration of 2/16
Let's explore various mathematical operations and concepts related to 2/16 and its additive inverse -2/16.
Basic Operations and Properties
- Square of 2/16: 0.015625
- Cube of 2/16: 0.001953125
- Square root of |2/16|: 0.35355339059327
- Reciprocal of 2/16: 8
- Double of 2/16: 0.25
- Half of 2/16: 0.0625
- Absolute value of 2/16: 0.125
Trigonometric Functions
- Sine of 2/16: 0.12467473338523
- Cosine of 2/16: 0.99219766722933
- Tangent of 2/16: 0.12565513657513
Exponential and Logarithmic Functions
- e^2/16: 1.1331484530668
- Natural log of 2/16: -2.0794415416798
Floor and Ceiling Functions
- Floor of 2/16: 0
- Ceiling of 2/16: 1
Interesting Properties and Relationships
- The sum of 2/16 and its additive inverse (-2/16) is always 0.
- The product of 2/16 and its additive inverse is: -4
- The average of 2/16 and its additive inverse is always 0.
- The distance between 2/16 and its additive inverse on a number line is: 4
Applications in Algebra
Consider the equation: x + 2/16 = 0
The solution to this equation is x = -2/16, which is the additive inverse of 2/16.
Graphical Representation
On a coordinate plane:
- The point (2/16, 0) is reflected across the y-axis to (-2/16, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 2/16 and Its Additive Inverse
Consider the alternating series: 2/16 + (-2/16) + 2/16 + (-2/16) + ...
The sum of this series oscillates between 0 and 2/16, never converging unless 2/16 is 0.
In Number Theory
For integer values:
- If 2/16 is even, its additive inverse is also even.
- If 2/16 is odd, its additive inverse is also odd.
- The sum of the digits of 2/16 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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