74/82 Additive Inverse :
The additive inverse of 74/82 is -74/82.
This means that when we add 74/82 and -74/82, the result is zero:
74/82 + (-74/82) = 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: 74/82
- Additive inverse: -74/82
To verify: 74/82 + (-74/82) = 0
Extended Mathematical Exploration of 74/82
Let's explore various mathematical operations and concepts related to 74/82 and its additive inverse -74/82.
Basic Operations and Properties
- Square of 74/82: 0.81439619274242
- Cube of 74/82: 0.73494290564559
- Square root of |74/82|: 0.94996790703173
- Reciprocal of 74/82: 1.1081081081081
- Double of 74/82: 1.8048780487805
- Half of 74/82: 0.45121951219512
- Absolute value of 74/82: 0.90243902439024
Trigonometric Functions
- Sine of 74/82: 0.78484070005606
- Cosine of 74/82: 0.61969756779861
- Tangent of 74/82: 1.2664898828699
Exponential and Logarithmic Functions
- e^74/82: 2.4656094649795
- Natural log of 74/82: -0.10265415406008
Floor and Ceiling Functions
- Floor of 74/82: 0
- Ceiling of 74/82: 1
Interesting Properties and Relationships
- The sum of 74/82 and its additive inverse (-74/82) is always 0.
- The product of 74/82 and its additive inverse is: -5476
- The average of 74/82 and its additive inverse is always 0.
- The distance between 74/82 and its additive inverse on a number line is: 148
Applications in Algebra
Consider the equation: x + 74/82 = 0
The solution to this equation is x = -74/82, which is the additive inverse of 74/82.
Graphical Representation
On a coordinate plane:
- The point (74/82, 0) is reflected across the y-axis to (-74/82, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74/82 and Its Additive Inverse
Consider the alternating series: 74/82 + (-74/82) + 74/82 + (-74/82) + ...
The sum of this series oscillates between 0 and 74/82, never converging unless 74/82 is 0.
In Number Theory
For integer values:
- If 74/82 is even, its additive inverse is also even.
- If 74/82 is odd, its additive inverse is also odd.
- The sum of the digits of 74/82 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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