84/91 Additive Inverse :
The additive inverse of 84/91 is -84/91.
This means that when we add 84/91 and -84/91, the result is zero:
84/91 + (-84/91) = 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: 84/91
- Additive inverse: -84/91
To verify: 84/91 + (-84/91) = 0
Extended Mathematical Exploration of 84/91
Let's explore various mathematical operations and concepts related to 84/91 and its additive inverse -84/91.
Basic Operations and Properties
- Square of 84/91: 0.85207100591716
- Cube of 84/91: 0.78652708238507
- Square root of |84/91|: 0.96076892283052
- Reciprocal of 84/91: 1.0833333333333
- Double of 84/91: 1.8461538461538
- Half of 84/91: 0.46153846153846
- Absolute value of 84/91: 0.92307692307692
Trigonometric Functions
- Sine of 84/91: 0.79746191295694
- Cosine of 84/91: 0.603369287736
- Tangent of 84/91: 1.3216813138588
Exponential and Logarithmic Functions
- e^84/91: 2.5170231739337
- Natural log of 84/91: -0.080042707673536
Floor and Ceiling Functions
- Floor of 84/91: 0
- Ceiling of 84/91: 1
Interesting Properties and Relationships
- The sum of 84/91 and its additive inverse (-84/91) is always 0.
- The product of 84/91 and its additive inverse is: -7056
- The average of 84/91 and its additive inverse is always 0.
- The distance between 84/91 and its additive inverse on a number line is: 168
Applications in Algebra
Consider the equation: x + 84/91 = 0
The solution to this equation is x = -84/91, which is the additive inverse of 84/91.
Graphical Representation
On a coordinate plane:
- The point (84/91, 0) is reflected across the y-axis to (-84/91, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 84/91 and Its Additive Inverse
Consider the alternating series: 84/91 + (-84/91) + 84/91 + (-84/91) + ...
The sum of this series oscillates between 0 and 84/91, never converging unless 84/91 is 0.
In Number Theory
For integer values:
- If 84/91 is even, its additive inverse is also even.
- If 84/91 is odd, its additive inverse is also odd.
- The sum of the digits of 84/91 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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