90/105 Additive Inverse :
The additive inverse of 90/105 is -90/105.
This means that when we add 90/105 and -90/105, the result is zero:
90/105 + (-90/105) = 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: 90/105
- Additive inverse: -90/105
To verify: 90/105 + (-90/105) = 0
Extended Mathematical Exploration of 90/105
Let's explore various mathematical operations and concepts related to 90/105 and its additive inverse -90/105.
Basic Operations and Properties
- Square of 90/105: 0.73469387755102
- Cube of 90/105: 0.62973760932945
- Square root of |90/105|: 0.92582009977255
- Reciprocal of 90/105: 1.1666666666667
- Double of 90/105: 1.7142857142857
- Half of 90/105: 0.42857142857143
- Absolute value of 90/105: 0.85714285714286
Trigonometric Functions
- Sine of 90/105: 0.75597536514673
- Cosine of 90/105: 0.65460006667527
- Tangent of 90/105: 1.1548660069443
Exponential and Logarithmic Functions
- e^90/105: 2.3564184423837
- Natural log of 90/105: -0.15415067982726
Floor and Ceiling Functions
- Floor of 90/105: 0
- Ceiling of 90/105: 1
Interesting Properties and Relationships
- The sum of 90/105 and its additive inverse (-90/105) is always 0.
- The product of 90/105 and its additive inverse is: -8100
- The average of 90/105 and its additive inverse is always 0.
- The distance between 90/105 and its additive inverse on a number line is: 180
Applications in Algebra
Consider the equation: x + 90/105 = 0
The solution to this equation is x = -90/105, which is the additive inverse of 90/105.
Graphical Representation
On a coordinate plane:
- The point (90/105, 0) is reflected across the y-axis to (-90/105, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 90/105 and Its Additive Inverse
Consider the alternating series: 90/105 + (-90/105) + 90/105 + (-90/105) + ...
The sum of this series oscillates between 0 and 90/105, never converging unless 90/105 is 0.
In Number Theory
For integer values:
- If 90/105 is even, its additive inverse is also even.
- If 90/105 is odd, its additive inverse is also odd.
- The sum of the digits of 90/105 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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