90/104 Additive Inverse :
The additive inverse of 90/104 is -90/104.
This means that when we add 90/104 and -90/104, the result is zero:
90/104 + (-90/104) = 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: 90/104
- Additive inverse: -90/104
To verify: 90/104 + (-90/104) = 0
Extended Mathematical Exploration of 90/104
Let's explore various mathematical operations and concepts related to 90/104 and its additive inverse -90/104.
Basic Operations and Properties
- Square of 90/104: 0.74889053254438
- Cube of 90/104: 0.6480783454711
- Square root of |90/104|: 0.93026050941906
- Reciprocal of 90/104: 1.1555555555556
- Double of 90/104: 1.7307692307692
- Half of 90/104: 0.43269230769231
- Absolute value of 90/104: 0.86538461538462
Trigonometric Functions
- Sine of 90/104: 0.76134468429876
- Cosine of 90/104: 0.64834733876991
- Tangent of 90/104: 1.1742851998795
Exponential and Logarithmic Functions
- e^90/104: 2.375919725545
- Natural log of 90/104: -0.14458122881111
Floor and Ceiling Functions
- Floor of 90/104: 0
- Ceiling of 90/104: 1
Interesting Properties and Relationships
- The sum of 90/104 and its additive inverse (-90/104) is always 0.
- The product of 90/104 and its additive inverse is: -8100
- The average of 90/104 and its additive inverse is always 0.
- The distance between 90/104 and its additive inverse on a number line is: 180
Applications in Algebra
Consider the equation: x + 90/104 = 0
The solution to this equation is x = -90/104, which is the additive inverse of 90/104.
Graphical Representation
On a coordinate plane:
- The point (90/104, 0) is reflected across the y-axis to (-90/104, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 90/104 and Its Additive Inverse
Consider the alternating series: 90/104 + (-90/104) + 90/104 + (-90/104) + ...
The sum of this series oscillates between 0 and 90/104, never converging unless 90/104 is 0.
In Number Theory
For integer values:
- If 90/104 is even, its additive inverse is also even.
- If 90/104 is odd, its additive inverse is also odd.
- The sum of the digits of 90/104 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
Enter a number (whole number, decimal, or fraction) to find its additive inverse: