90/102 Additive Inverse :
The additive inverse of 90/102 is -90/102.
This means that when we add 90/102 and -90/102, the result is zero:
90/102 + (-90/102) = 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: 90/102
- Additive inverse: -90/102
To verify: 90/102 + (-90/102) = 0
Extended Mathematical Exploration of 90/102
Let's explore various mathematical operations and concepts related to 90/102 and its additive inverse -90/102.
Basic Operations and Properties
- Square of 90/102: 0.77854671280277
- Cube of 90/102: 0.6869529818848
- Square root of |90/102|: 0.93933643662772
- Reciprocal of 90/102: 1.1333333333333
- Double of 90/102: 1.7647058823529
- Half of 90/102: 0.44117647058824
- Absolute value of 90/102: 0.88235294117647
Trigonometric Functions
- Sine of 90/102: 0.77223592314622
- Cosine of 90/102: 0.63533587888809
- Tangent of 90/102: 1.2154766459872
Exponential and Logarithmic Functions
- e^90/102: 2.416579090617
- Natural log of 90/102: -0.12516314295401
Floor and Ceiling Functions
- Floor of 90/102: 0
- Ceiling of 90/102: 1
Interesting Properties and Relationships
- The sum of 90/102 and its additive inverse (-90/102) is always 0.
- The product of 90/102 and its additive inverse is: -8100
- The average of 90/102 and its additive inverse is always 0.
- The distance between 90/102 and its additive inverse on a number line is: 180
Applications in Algebra
Consider the equation: x + 90/102 = 0
The solution to this equation is x = -90/102, which is the additive inverse of 90/102.
Graphical Representation
On a coordinate plane:
- The point (90/102, 0) is reflected across the y-axis to (-90/102, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 90/102 and Its Additive Inverse
Consider the alternating series: 90/102 + (-90/102) + 90/102 + (-90/102) + ...
The sum of this series oscillates between 0 and 90/102, never converging unless 90/102 is 0.
In Number Theory
For integer values:
- If 90/102 is even, its additive inverse is also even.
- If 90/102 is odd, its additive inverse is also odd.
- The sum of the digits of 90/102 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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