15/18 Additive Inverse :
The additive inverse of 15/18 is -15/18.
This means that when we add 15/18 and -15/18, the result is zero:
15/18 + (-15/18) = 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: 15/18
- Additive inverse: -15/18
To verify: 15/18 + (-15/18) = 0
Extended Mathematical Exploration of 15/18
Let's explore various mathematical operations and concepts related to 15/18 and its additive inverse -15/18.
Basic Operations and Properties
- Square of 15/18: 0.69444444444444
- Cube of 15/18: 0.5787037037037
- Square root of |15/18|: 0.91287092917528
- Reciprocal of 15/18: 1.2
- Double of 15/18: 1.6666666666667
- Half of 15/18: 0.41666666666667
- Absolute value of 15/18: 0.83333333333333
Trigonometric Functions
- Sine of 15/18: 0.74017685319604
- Cosine of 15/18: 0.67241224408306
- Tangent of 15/18: 1.1007783687898
Exponential and Logarithmic Functions
- e^15/18: 2.3009758908928
- Natural log of 15/18: -0.18232155679395
Floor and Ceiling Functions
- Floor of 15/18: 0
- Ceiling of 15/18: 1
Interesting Properties and Relationships
- The sum of 15/18 and its additive inverse (-15/18) is always 0.
- The product of 15/18 and its additive inverse is: -225
- The average of 15/18 and its additive inverse is always 0.
- The distance between 15/18 and its additive inverse on a number line is: 30
Applications in Algebra
Consider the equation: x + 15/18 = 0
The solution to this equation is x = -15/18, which is the additive inverse of 15/18.
Graphical Representation
On a coordinate plane:
- The point (15/18, 0) is reflected across the y-axis to (-15/18, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 15/18 and Its Additive Inverse
Consider the alternating series: 15/18 + (-15/18) + 15/18 + (-15/18) + ...
The sum of this series oscillates between 0 and 15/18, never converging unless 15/18 is 0.
In Number Theory
For integer values:
- If 15/18 is even, its additive inverse is also even.
- If 15/18 is odd, its additive inverse is also odd.
- The sum of the digits of 15/18 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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