88/90 Additive Inverse :
The additive inverse of 88/90 is -88/90.
This means that when we add 88/90 and -88/90, the result is zero:
88/90 + (-88/90) = 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: 88/90
- Additive inverse: -88/90
To verify: 88/90 + (-88/90) = 0
Extended Mathematical Exploration of 88/90
Let's explore various mathematical operations and concepts related to 88/90 and its additive inverse -88/90.
Basic Operations and Properties
- Square of 88/90: 0.95604938271605
- Cube of 88/90: 0.93480384087791
- Square root of |88/90|: 0.98882646494609
- Reciprocal of 88/90: 1.0227272727273
- Double of 88/90: 1.9555555555556
- Half of 88/90: 0.48888888888889
- Absolute value of 88/90: 0.97777777777778
Trigonometric Functions
- Sine of 88/90: 0.82925749301911
- Cosine of 88/90: 0.5588667195957
- Tangent of 88/90: 1.4838197801777
Exponential and Logarithmic Functions
- e^88/90: 2.6585418020922
- Natural log of 88/90: -0.022472855852059
Floor and Ceiling Functions
- Floor of 88/90: 0
- Ceiling of 88/90: 1
Interesting Properties and Relationships
- The sum of 88/90 and its additive inverse (-88/90) is always 0.
- The product of 88/90 and its additive inverse is: -7744
- The average of 88/90 and its additive inverse is always 0.
- The distance between 88/90 and its additive inverse on a number line is: 176
Applications in Algebra
Consider the equation: x + 88/90 = 0
The solution to this equation is x = -88/90, which is the additive inverse of 88/90.
Graphical Representation
On a coordinate plane:
- The point (88/90, 0) is reflected across the y-axis to (-88/90, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 88/90 and Its Additive Inverse
Consider the alternating series: 88/90 + (-88/90) + 88/90 + (-88/90) + ...
The sum of this series oscillates between 0 and 88/90, never converging unless 88/90 is 0.
In Number Theory
For integer values:
- If 88/90 is even, its additive inverse is also even.
- If 88/90 is odd, its additive inverse is also odd.
- The sum of the digits of 88/90 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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