76/90 Additive Inverse :
The additive inverse of 76/90 is -76/90.
This means that when we add 76/90 and -76/90, the result is zero:
76/90 + (-76/90) = 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: 76/90
- Additive inverse: -76/90
To verify: 76/90 + (-76/90) = 0
Extended Mathematical Exploration of 76/90
Let's explore various mathematical operations and concepts related to 76/90 and its additive inverse -76/90.
Basic Operations and Properties
- Square of 76/90: 0.71308641975309
- Cube of 76/90: 0.60216186556927
- Square root of |76/90|: 0.91893658347268
- Reciprocal of 76/90: 1.1842105263158
- Double of 76/90: 1.6888888888889
- Half of 76/90: 0.42222222222222
- Absolute value of 76/90: 0.84444444444444
Trigonometric Functions
- Sine of 76/90: 0.74760225716495
- Cosine of 76/90: 0.66414671954462
- Tangent of 76/90: 1.1256582847801
Exponential and Logarithmic Functions
- e^76/90: 2.3266848527515
- Natural log of 76/90: -0.16907633004393
Floor and Ceiling Functions
- Floor of 76/90: 0
- Ceiling of 76/90: 1
Interesting Properties and Relationships
- The sum of 76/90 and its additive inverse (-76/90) is always 0.
- The product of 76/90 and its additive inverse is: -5776
- The average of 76/90 and its additive inverse is always 0.
- The distance between 76/90 and its additive inverse on a number line is: 152
Applications in Algebra
Consider the equation: x + 76/90 = 0
The solution to this equation is x = -76/90, which is the additive inverse of 76/90.
Graphical Representation
On a coordinate plane:
- The point (76/90, 0) is reflected across the y-axis to (-76/90, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 76/90 and Its Additive Inverse
Consider the alternating series: 76/90 + (-76/90) + 76/90 + (-76/90) + ...
The sum of this series oscillates between 0 and 76/90, never converging unless 76/90 is 0.
In Number Theory
For integer values:
- If 76/90 is even, its additive inverse is also even.
- If 76/90 is odd, its additive inverse is also odd.
- The sum of the digits of 76/90 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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