73/84 Additive Inverse :
The additive inverse of 73/84 is -73/84.
This means that when we add 73/84 and -73/84, the result is zero:
73/84 + (-73/84) = 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: 73/84
- Additive inverse: -73/84
To verify: 73/84 + (-73/84) = 0
Extended Mathematical Exploration of 73/84
Let's explore various mathematical operations and concepts related to 73/84 and its additive inverse -73/84.
Basic Operations and Properties
- Square of 73/84: 0.75524376417234
- Cube of 73/84: 0.65634279505453
- Square root of |73/84|: 0.9322272357358
- Reciprocal of 73/84: 1.1506849315068
- Double of 73/84: 1.7380952380952
- Half of 73/84: 0.43452380952381
- Absolute value of 73/84: 0.86904761904762
Trigonometric Functions
- Sine of 73/84: 0.76371446996275
- Cosine of 73/84: 0.64555418701261
- Tangent of 73/84: 1.1830369709117
Exponential and Logarithmic Functions
- e^73/84: 2.384638687248
- Natural log of 73/84: -0.14035735769492
Floor and Ceiling Functions
- Floor of 73/84: 0
- Ceiling of 73/84: 1
Interesting Properties and Relationships
- The sum of 73/84 and its additive inverse (-73/84) is always 0.
- The product of 73/84 and its additive inverse is: -5329
- The average of 73/84 and its additive inverse is always 0.
- The distance between 73/84 and its additive inverse on a number line is: 146
Applications in Algebra
Consider the equation: x + 73/84 = 0
The solution to this equation is x = -73/84, which is the additive inverse of 73/84.
Graphical Representation
On a coordinate plane:
- The point (73/84, 0) is reflected across the y-axis to (-73/84, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 73/84 and Its Additive Inverse
Consider the alternating series: 73/84 + (-73/84) + 73/84 + (-73/84) + ...
The sum of this series oscillates between 0 and 73/84, never converging unless 73/84 is 0.
In Number Theory
For integer values:
- If 73/84 is even, its additive inverse is also even.
- If 73/84 is odd, its additive inverse is also odd.
- The sum of the digits of 73/84 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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