73/87 Additive Inverse :
The additive inverse of 73/87 is -73/87.
This means that when we add 73/87 and -73/87, the result is zero:
73/87 + (-73/87) = 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: 73/87
- Additive inverse: -73/87
To verify: 73/87 + (-73/87) = 0
Extended Mathematical Exploration of 73/87
Let's explore various mathematical operations and concepts related to 73/87 and its additive inverse -73/87.
Basic Operations and Properties
- Square of 73/87: 0.70405601796803
- Cube of 73/87: 0.59075964726053
- Square root of |73/87|: 0.9160133513056
- Reciprocal of 73/87: 1.1917808219178
- Double of 73/87: 1.6781609195402
- Half of 73/87: 0.41954022988506
- Absolute value of 73/87: 0.83908045977011
Trigonometric Functions
- Sine of 73/87: 0.74402904631899
- Cosine of 73/87: 0.66814727286254
- Tangent of 73/87: 1.1135704305599
Exponential and Logarithmic Functions
- e^73/87: 2.3142379631656
- Natural log of 73/87: -0.17544867750619
Floor and Ceiling Functions
- Floor of 73/87: 0
- Ceiling of 73/87: 1
Interesting Properties and Relationships
- The sum of 73/87 and its additive inverse (-73/87) is always 0.
- The product of 73/87 and its additive inverse is: -5329
- The average of 73/87 and its additive inverse is always 0.
- The distance between 73/87 and its additive inverse on a number line is: 146
Applications in Algebra
Consider the equation: x + 73/87 = 0
The solution to this equation is x = -73/87, which is the additive inverse of 73/87.
Graphical Representation
On a coordinate plane:
- The point (73/87, 0) is reflected across the y-axis to (-73/87, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 73/87 and Its Additive Inverse
Consider the alternating series: 73/87 + (-73/87) + 73/87 + (-73/87) + ...
The sum of this series oscillates between 0 and 73/87, never converging unless 73/87 is 0.
In Number Theory
For integer values:
- If 73/87 is even, its additive inverse is also even.
- If 73/87 is odd, its additive inverse is also odd.
- The sum of the digits of 73/87 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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