90/100 Additive Inverse :
The additive inverse of 90/100 is -90/100.
This means that when we add 90/100 and -90/100, the result is zero:
90/100 + (-90/100) = 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: 90/100
- Additive inverse: -90/100
To verify: 90/100 + (-90/100) = 0
Extended Mathematical Exploration of 90/100
Let's explore various mathematical operations and concepts related to 90/100 and its additive inverse -90/100.
Basic Operations and Properties
- Square of 90/100: 0.81
- Cube of 90/100: 0.729
- Square root of |90/100|: 0.94868329805051
- Reciprocal of 90/100: 1.1111111111111
- Double of 90/100: 1.8
- Half of 90/100: 0.45
- Absolute value of 90/100: 0.9
Trigonometric Functions
- Sine of 90/100: 0.78332690962748
- Cosine of 90/100: 0.62160996827066
- Tangent of 90/100: 1.2601582175503
Exponential and Logarithmic Functions
- e^90/100: 2.4596031111569
- Natural log of 90/100: -0.10536051565783
Floor and Ceiling Functions
- Floor of 90/100: 0
- Ceiling of 90/100: 1
Interesting Properties and Relationships
- The sum of 90/100 and its additive inverse (-90/100) is always 0.
- The product of 90/100 and its additive inverse is: -8100
- The average of 90/100 and its additive inverse is always 0.
- The distance between 90/100 and its additive inverse on a number line is: 180
Applications in Algebra
Consider the equation: x + 90/100 = 0
The solution to this equation is x = -90/100, which is the additive inverse of 90/100.
Graphical Representation
On a coordinate plane:
- The point (90/100, 0) is reflected across the y-axis to (-90/100, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 90/100 and Its Additive Inverse
Consider the alternating series: 90/100 + (-90/100) + 90/100 + (-90/100) + ...
The sum of this series oscillates between 0 and 90/100, never converging unless 90/100 is 0.
In Number Theory
For integer values:
- If 90/100 is even, its additive inverse is also even.
- If 90/100 is odd, its additive inverse is also odd.
- The sum of the digits of 90/100 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: