79/84 Additive Inverse :
The additive inverse of 79/84 is -79/84.
This means that when we add 79/84 and -79/84, the result is zero:
79/84 + (-79/84) = 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: 79/84
- Additive inverse: -79/84
To verify: 79/84 + (-79/84) = 0
Extended Mathematical Exploration of 79/84
Let's explore various mathematical operations and concepts related to 79/84 and its additive inverse -79/84.
Basic Operations and Properties
- Square of 79/84: 0.88449546485261
- Cube of 79/84: 0.83184692527805
- Square root of |79/84|: 0.96978151687697
- Reciprocal of 79/84: 1.0632911392405
- Double of 79/84: 1.8809523809524
- Half of 79/84: 0.4702380952381
- Absolute value of 79/84: 0.94047619047619
Trigonometric Functions
- Sine of 79/84: 0.80783886027512
- Cosine of 79/84: 0.58940340669986
- Tangent of 79/84: 1.370604328194
Exponential and Logarithmic Functions
- e^79/84: 2.5612007473933
- Natural log of 79/84: -0.061368946376292
Floor and Ceiling Functions
- Floor of 79/84: 0
- Ceiling of 79/84: 1
Interesting Properties and Relationships
- The sum of 79/84 and its additive inverse (-79/84) is always 0.
- The product of 79/84 and its additive inverse is: -6241
- The average of 79/84 and its additive inverse is always 0.
- The distance between 79/84 and its additive inverse on a number line is: 158
Applications in Algebra
Consider the equation: x + 79/84 = 0
The solution to this equation is x = -79/84, which is the additive inverse of 79/84.
Graphical Representation
On a coordinate plane:
- The point (79/84, 0) is reflected across the y-axis to (-79/84, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 79/84 and Its Additive Inverse
Consider the alternating series: 79/84 + (-79/84) + 79/84 + (-79/84) + ...
The sum of this series oscillates between 0 and 79/84, never converging unless 79/84 is 0.
In Number Theory
For integer values:
- If 79/84 is even, its additive inverse is also even.
- If 79/84 is odd, its additive inverse is also odd.
- The sum of the digits of 79/84 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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