84/90 Additive Inverse :
The additive inverse of 84/90 is -84/90.
This means that when we add 84/90 and -84/90, the result is zero:
84/90 + (-84/90) = 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: 84/90
- Additive inverse: -84/90
To verify: 84/90 + (-84/90) = 0
Extended Mathematical Exploration of 84/90
Let's explore various mathematical operations and concepts related to 84/90 and its additive inverse -84/90.
Basic Operations and Properties
- Square of 84/90: 0.87111111111111
- Cube of 84/90: 0.81303703703704
- Square root of |84/90|: 0.9660917830793
- Reciprocal of 84/90: 1.0714285714286
- Double of 84/90: 1.8666666666667
- Half of 84/90: 0.46666666666667
- Absolute value of 84/90: 0.93333333333333
Trigonometric Functions
- Sine of 84/90: 0.80360826369441
- Cosine of 84/90: 0.59515859946913
- Tangent of 84/90: 1.3502422117587
Exponential and Logarithmic Functions
- e^84/90: 2.542971637808
- Natural log of 84/90: -0.068992871486951
Floor and Ceiling Functions
- Floor of 84/90: 0
- Ceiling of 84/90: 1
Interesting Properties and Relationships
- The sum of 84/90 and its additive inverse (-84/90) is always 0.
- The product of 84/90 and its additive inverse is: -7056
- The average of 84/90 and its additive inverse is always 0.
- The distance between 84/90 and its additive inverse on a number line is: 168
Applications in Algebra
Consider the equation: x + 84/90 = 0
The solution to this equation is x = -84/90, which is the additive inverse of 84/90.
Graphical Representation
On a coordinate plane:
- The point (84/90, 0) is reflected across the y-axis to (-84/90, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 84/90 and Its Additive Inverse
Consider the alternating series: 84/90 + (-84/90) + 84/90 + (-84/90) + ...
The sum of this series oscillates between 0 and 84/90, never converging unless 84/90 is 0.
In Number Theory
For integer values:
- If 84/90 is even, its additive inverse is also even.
- If 84/90 is odd, its additive inverse is also odd.
- The sum of the digits of 84/90 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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