9/15 Additive Inverse :
The additive inverse of 9/15 is -9/15.
This means that when we add 9/15 and -9/15, the result is zero:
9/15 + (-9/15) = 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: 9/15
- Additive inverse: -9/15
To verify: 9/15 + (-9/15) = 0
Extended Mathematical Exploration of 9/15
Let's explore various mathematical operations and concepts related to 9/15 and its additive inverse -9/15.
Basic Operations and Properties
- Square of 9/15: 0.36
- Cube of 9/15: 0.216
- Square root of |9/15|: 0.77459666924148
- Reciprocal of 9/15: 1.6666666666667
- Double of 9/15: 1.2
- Half of 9/15: 0.3
- Absolute value of 9/15: 0.6
Trigonometric Functions
- Sine of 9/15: 0.56464247339504
- Cosine of 9/15: 0.82533561490968
- Tangent of 9/15: 0.68413680834169
Exponential and Logarithmic Functions
- e^9/15: 1.8221188003905
- Natural log of 9/15: -0.51082562376599
Floor and Ceiling Functions
- Floor of 9/15: 0
- Ceiling of 9/15: 1
Interesting Properties and Relationships
- The sum of 9/15 and its additive inverse (-9/15) is always 0.
- The product of 9/15 and its additive inverse is: -81
- The average of 9/15 and its additive inverse is always 0.
- The distance between 9/15 and its additive inverse on a number line is: 18
Applications in Algebra
Consider the equation: x + 9/15 = 0
The solution to this equation is x = -9/15, which is the additive inverse of 9/15.
Graphical Representation
On a coordinate plane:
- The point (9/15, 0) is reflected across the y-axis to (-9/15, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 9/15 and Its Additive Inverse
Consider the alternating series: 9/15 + (-9/15) + 9/15 + (-9/15) + ...
The sum of this series oscillates between 0 and 9/15, never converging unless 9/15 is 0.
In Number Theory
For integer values:
- If 9/15 is even, its additive inverse is also even.
- If 9/15 is odd, its additive inverse is also odd.
- The sum of the digits of 9/15 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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