7/18 Additive Inverse :
The additive inverse of 7/18 is -7/18.
This means that when we add 7/18 and -7/18, the result is zero:
7/18 + (-7/18) = 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: 7/18
- Additive inverse: -7/18
To verify: 7/18 + (-7/18) = 0
Extended Mathematical Exploration of 7/18
Let's explore various mathematical operations and concepts related to 7/18 and its additive inverse -7/18.
Basic Operations and Properties
- Square of 7/18: 0.15123456790123
- Cube of 7/18: 0.058813443072702
- Square root of |7/18|: 0.62360956446232
- Reciprocal of 7/18: 2.5714285714286
- Double of 7/18: 0.77777777777778
- Half of 7/18: 0.19444444444444
- Absolute value of 7/18: 0.38888888888889
Trigonometric Functions
- Sine of 7/18: 0.37916050391726
- Cosine of 7/18: 0.92533092041129
- Tangent of 7/18: 0.40975665629841
Exponential and Logarithmic Functions
- e^7/18: 1.4753406154906
- Natural log of 7/18: -0.94446160884085
Floor and Ceiling Functions
- Floor of 7/18: 0
- Ceiling of 7/18: 1
Interesting Properties and Relationships
- The sum of 7/18 and its additive inverse (-7/18) is always 0.
- The product of 7/18 and its additive inverse is: -49
- The average of 7/18 and its additive inverse is always 0.
- The distance between 7/18 and its additive inverse on a number line is: 14
Applications in Algebra
Consider the equation: x + 7/18 = 0
The solution to this equation is x = -7/18, which is the additive inverse of 7/18.
Graphical Representation
On a coordinate plane:
- The point (7/18, 0) is reflected across the y-axis to (-7/18, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 7/18 and Its Additive Inverse
Consider the alternating series: 7/18 + (-7/18) + 7/18 + (-7/18) + ...
The sum of this series oscillates between 0 and 7/18, never converging unless 7/18 is 0.
In Number Theory
For integer values:
- If 7/18 is even, its additive inverse is also even.
- If 7/18 is odd, its additive inverse is also odd.
- The sum of the digits of 7/18 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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