90/98 Additive Inverse :
The additive inverse of 90/98 is -90/98.
This means that when we add 90/98 and -90/98, the result is zero:
90/98 + (-90/98) = 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: 90/98
- Additive inverse: -90/98
To verify: 90/98 + (-90/98) = 0
Extended Mathematical Exploration of 90/98
Let's explore various mathematical operations and concepts related to 90/98 and its additive inverse -90/98.
Basic Operations and Properties
- Square of 90/98: 0.84339858392337
- Cube of 90/98: 0.77454971992962
- Square root of |90/98|: 0.95831484749991
- Reciprocal of 90/98: 1.0888888888889
- Double of 90/98: 1.8367346938776
- Half of 90/98: 0.45918367346939
- Absolute value of 90/98: 0.91836734693878
Trigonometric Functions
- Sine of 90/98: 0.79461146598238
- Cosine of 90/98: 0.60711829006326
- Tangent of 90/98: 1.3088247858578
Exponential and Logarithmic Functions
- e^90/98: 2.5051969318074
- Natural log of 90/98: -0.085157808340307
Floor and Ceiling Functions
- Floor of 90/98: 0
- Ceiling of 90/98: 1
Interesting Properties and Relationships
- The sum of 90/98 and its additive inverse (-90/98) is always 0.
- The product of 90/98 and its additive inverse is: -8100
- The average of 90/98 and its additive inverse is always 0.
- The distance between 90/98 and its additive inverse on a number line is: 180
Applications in Algebra
Consider the equation: x + 90/98 = 0
The solution to this equation is x = -90/98, which is the additive inverse of 90/98.
Graphical Representation
On a coordinate plane:
- The point (90/98, 0) is reflected across the y-axis to (-90/98, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 90/98 and Its Additive Inverse
Consider the alternating series: 90/98 + (-90/98) + 90/98 + (-90/98) + ...
The sum of this series oscillates between 0 and 90/98, never converging unless 90/98 is 0.
In Number Theory
For integer values:
- If 90/98 is even, its additive inverse is also even.
- If 90/98 is odd, its additive inverse is also odd.
- The sum of the digits of 90/98 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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