74/83 Additive Inverse :
The additive inverse of 74/83 is -74/83.
This means that when we add 74/83 and -74/83, the result is zero:
74/83 + (-74/83) = 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: 74/83
- Additive inverse: -74/83
To verify: 74/83 + (-74/83) = 0
Extended Mathematical Exploration of 74/83
Let's explore various mathematical operations and concepts related to 74/83 and its additive inverse -74/83.
Basic Operations and Properties
- Square of 74/83: 0.79489040499347
- Cube of 74/83: 0.70869746951225
- Square root of |74/83|: 0.94422786712755
- Reciprocal of 74/83: 1.1216216216216
- Double of 74/83: 1.7831325301205
- Half of 74/83: 0.44578313253012
- Absolute value of 74/83: 0.89156626506024
Trigonometric Functions
- Sine of 74/83: 0.77805662003881
- Cosine of 74/83: 0.62819415471157
- Tangent of 74/83: 1.2385607446412
Exponential and Logarithmic Functions
- e^74/83: 2.4389466982532
- Natural log of 74/83: -0.11477551459243
Floor and Ceiling Functions
- Floor of 74/83: 0
- Ceiling of 74/83: 1
Interesting Properties and Relationships
- The sum of 74/83 and its additive inverse (-74/83) is always 0.
- The product of 74/83 and its additive inverse is: -5476
- The average of 74/83 and its additive inverse is always 0.
- The distance between 74/83 and its additive inverse on a number line is: 148
Applications in Algebra
Consider the equation: x + 74/83 = 0
The solution to this equation is x = -74/83, which is the additive inverse of 74/83.
Graphical Representation
On a coordinate plane:
- The point (74/83, 0) is reflected across the y-axis to (-74/83, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74/83 and Its Additive Inverse
Consider the alternating series: 74/83 + (-74/83) + 74/83 + (-74/83) + ...
The sum of this series oscillates between 0 and 74/83, never converging unless 74/83 is 0.
In Number Theory
For integer values:
- If 74/83 is even, its additive inverse is also even.
- If 74/83 is odd, its additive inverse is also odd.
- The sum of the digits of 74/83 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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