79/87 Additive Inverse :
The additive inverse of 79/87 is -79/87.
This means that when we add 79/87 and -79/87, the result is zero:
79/87 + (-79/87) = 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: 79/87
- Additive inverse: -79/87
To verify: 79/87 + (-79/87) = 0
Extended Mathematical Exploration of 79/87
Let's explore various mathematical operations and concepts related to 79/87 and its additive inverse -79/87.
Basic Operations and Properties
- Square of 79/87: 0.82454749636676
- Cube of 79/87: 0.74872703693074
- Square root of |79/87|: 0.95291446468794
- Reciprocal of 79/87: 1.1012658227848
- Double of 79/87: 1.816091954023
- Half of 79/87: 0.45402298850575
- Absolute value of 79/87: 0.90804597701149
Trigonometric Functions
- Sine of 79/87: 0.78830295990612
- Cosine of 79/87: 0.61528728526052
- Tangent of 79/87: 1.2811949454999
Exponential and Logarithmic Functions
- e^79/87: 2.4794728497834
- Natural log of 79/87: -0.096460266187562
Floor and Ceiling Functions
- Floor of 79/87: 0
- Ceiling of 79/87: 1
Interesting Properties and Relationships
- The sum of 79/87 and its additive inverse (-79/87) is always 0.
- The product of 79/87 and its additive inverse is: -6241
- The average of 79/87 and its additive inverse is always 0.
- The distance between 79/87 and its additive inverse on a number line is: 158
Applications in Algebra
Consider the equation: x + 79/87 = 0
The solution to this equation is x = -79/87, which is the additive inverse of 79/87.
Graphical Representation
On a coordinate plane:
- The point (79/87, 0) is reflected across the y-axis to (-79/87, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 79/87 and Its Additive Inverse
Consider the alternating series: 79/87 + (-79/87) + 79/87 + (-79/87) + ...
The sum of this series oscillates between 0 and 79/87, never converging unless 79/87 is 0.
In Number Theory
For integer values:
- If 79/87 is even, its additive inverse is also even.
- If 79/87 is odd, its additive inverse is also odd.
- The sum of the digits of 79/87 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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