74/81 Additive Inverse :
The additive inverse of 74/81 is -74/81.
This means that when we add 74/81 and -74/81, the result is zero:
74/81 + (-74/81) = 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: 74/81
- Additive inverse: -74/81
To verify: 74/81 + (-74/81) = 0
Extended Mathematical Exploration of 74/81
Let's explore various mathematical operations and concepts related to 74/81 and its additive inverse -74/81.
Basic Operations and Properties
- Square of 74/81: 0.83462886755068
- Cube of 74/81: 0.76250044689815
- Square root of |74/81|: 0.95581391856029
- Reciprocal of 74/81: 1.0945945945946
- Double of 74/81: 1.8271604938272
- Half of 74/81: 0.45679012345679
- Absolute value of 74/81: 0.91358024691358
Trigonometric Functions
- Sine of 74/81: 0.79169603633056
- Cosine of 74/81: 0.61091520365635
- Tangent of 74/81: 1.295918044914
Exponential and Logarithmic Functions
- e^74/81: 2.4932329627179
- Natural log of 74/81: -0.090384061468269
Floor and Ceiling Functions
- Floor of 74/81: 0
- Ceiling of 74/81: 1
Interesting Properties and Relationships
- The sum of 74/81 and its additive inverse (-74/81) is always 0.
- The product of 74/81 and its additive inverse is: -5476
- The average of 74/81 and its additive inverse is always 0.
- The distance between 74/81 and its additive inverse on a number line is: 148
Applications in Algebra
Consider the equation: x + 74/81 = 0
The solution to this equation is x = -74/81, which is the additive inverse of 74/81.
Graphical Representation
On a coordinate plane:
- The point (74/81, 0) is reflected across the y-axis to (-74/81, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74/81 and Its Additive Inverse
Consider the alternating series: 74/81 + (-74/81) + 74/81 + (-74/81) + ...
The sum of this series oscillates between 0 and 74/81, never converging unless 74/81 is 0.
In Number Theory
For integer values:
- If 74/81 is even, its additive inverse is also even.
- If 74/81 is odd, its additive inverse is also odd.
- The sum of the digits of 74/81 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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