4/18 Additive Inverse :
The additive inverse of 4/18 is -4/18.
This means that when we add 4/18 and -4/18, the result is zero:
4/18 + (-4/18) = 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: 4/18
- Additive inverse: -4/18
To verify: 4/18 + (-4/18) = 0
Extended Mathematical Exploration of 4/18
Let's explore various mathematical operations and concepts related to 4/18 and its additive inverse -4/18.
Basic Operations and Properties
- Square of 4/18: 0.049382716049383
- Cube of 4/18: 0.010973936899863
- Square root of |4/18|: 0.47140452079103
- Reciprocal of 4/18: 4.5
- Double of 4/18: 0.44444444444444
- Half of 4/18: 0.11111111111111
- Absolute value of 4/18: 0.22222222222222
Trigonometric Functions
- Sine of 4/18: 0.22039774345612
- Cosine of 4/18: 0.97541008538945
- Tangent of 4/18: 0.22595393133353
Exponential and Logarithmic Functions
- e^4/18: 1.2488488690017
- Natural log of 4/18: -1.5040773967763
Floor and Ceiling Functions
- Floor of 4/18: 0
- Ceiling of 4/18: 1
Interesting Properties and Relationships
- The sum of 4/18 and its additive inverse (-4/18) is always 0.
- The product of 4/18 and its additive inverse is: -16
- The average of 4/18 and its additive inverse is always 0.
- The distance between 4/18 and its additive inverse on a number line is: 8
Applications in Algebra
Consider the equation: x + 4/18 = 0
The solution to this equation is x = -4/18, which is the additive inverse of 4/18.
Graphical Representation
On a coordinate plane:
- The point (4/18, 0) is reflected across the y-axis to (-4/18, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 4/18 and Its Additive Inverse
Consider the alternating series: 4/18 + (-4/18) + 4/18 + (-4/18) + ...
The sum of this series oscillates between 0 and 4/18, never converging unless 4/18 is 0.
In Number Theory
For integer values:
- If 4/18 is even, its additive inverse is also even.
- If 4/18 is odd, its additive inverse is also odd.
- The sum of the digits of 4/18 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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