16/18 Additive Inverse :
The additive inverse of 16/18 is -16/18.
This means that when we add 16/18 and -16/18, the result is zero:
16/18 + (-16/18) = 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: 16/18
- Additive inverse: -16/18
To verify: 16/18 + (-16/18) = 0
Extended Mathematical Exploration of 16/18
Let's explore various mathematical operations and concepts related to 16/18 and its additive inverse -16/18.
Basic Operations and Properties
- Square of 16/18: 0.79012345679012
- Cube of 16/18: 0.70233196159122
- Square root of |16/18|: 0.94280904158206
- Reciprocal of 16/18: 1.125
- Double of 16/18: 1.7777777777778
- Half of 16/18: 0.44444444444444
- Absolute value of 16/18: 0.88888888888889
Trigonometric Functions
- Sine of 16/18: 0.77637192130066
- Cosine of 16/18: 0.63027505092295
- Tangent of 16/18: 1.2317985935883
Exponential and Logarithmic Functions
- e^16/18: 2.4324254542872
- Natural log of 16/18: -0.11778303565638
Floor and Ceiling Functions
- Floor of 16/18: 0
- Ceiling of 16/18: 1
Interesting Properties and Relationships
- The sum of 16/18 and its additive inverse (-16/18) is always 0.
- The product of 16/18 and its additive inverse is: -256
- The average of 16/18 and its additive inverse is always 0.
- The distance between 16/18 and its additive inverse on a number line is: 32
Applications in Algebra
Consider the equation: x + 16/18 = 0
The solution to this equation is x = -16/18, which is the additive inverse of 16/18.
Graphical Representation
On a coordinate plane:
- The point (16/18, 0) is reflected across the y-axis to (-16/18, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 16/18 and Its Additive Inverse
Consider the alternating series: 16/18 + (-16/18) + 16/18 + (-16/18) + ...
The sum of this series oscillates between 0 and 16/18, never converging unless 16/18 is 0.
In Number Theory
For integer values:
- If 16/18 is even, its additive inverse is also even.
- If 16/18 is odd, its additive inverse is also odd.
- The sum of the digits of 16/18 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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