79/90 Additive Inverse :
The additive inverse of 79/90 is -79/90.
This means that when we add 79/90 and -79/90, the result is zero:
79/90 + (-79/90) = 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: 79/90
- Additive inverse: -79/90
To verify: 79/90 + (-79/90) = 0
Extended Mathematical Exploration of 79/90
Let's explore various mathematical operations and concepts related to 79/90 and its additive inverse -79/90.
Basic Operations and Properties
- Square of 79/90: 0.77049382716049
- Cube of 79/90: 0.67632235939643
- Square root of |79/90|: 0.93689795483701
- Reciprocal of 79/90: 1.1392405063291
- Double of 79/90: 1.7555555555556
- Half of 79/90: 0.43888888888889
- Absolute value of 79/90: 0.87777777777778
Trigonometric Functions
- Sine of 79/90: 0.76932108557458
- Cosine of 79/90: 0.63886232264107
- Tangent of 79/90: 1.2042048158267
Exponential and Logarithmic Functions
- e^79/90: 2.4055480999458
- Natural log of 79/90: -0.13036181786324
Floor and Ceiling Functions
- Floor of 79/90: 0
- Ceiling of 79/90: 1
Interesting Properties and Relationships
- The sum of 79/90 and its additive inverse (-79/90) is always 0.
- The product of 79/90 and its additive inverse is: -6241
- The average of 79/90 and its additive inverse is always 0.
- The distance between 79/90 and its additive inverse on a number line is: 158
Applications in Algebra
Consider the equation: x + 79/90 = 0
The solution to this equation is x = -79/90, which is the additive inverse of 79/90.
Graphical Representation
On a coordinate plane:
- The point (79/90, 0) is reflected across the y-axis to (-79/90, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 79/90 and Its Additive Inverse
Consider the alternating series: 79/90 + (-79/90) + 79/90 + (-79/90) + ...
The sum of this series oscillates between 0 and 79/90, never converging unless 79/90 is 0.
In Number Theory
For integer values:
- If 79/90 is even, its additive inverse is also even.
- If 79/90 is odd, its additive inverse is also odd.
- The sum of the digits of 79/90 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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