74/79 Additive Inverse :
The additive inverse of 74/79 is -74/79.
This means that when we add 74/79 and -74/79, the result is zero:
74/79 + (-74/79) = 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: 74/79
- Additive inverse: -74/79
To verify: 74/79 + (-74/79) = 0
Extended Mathematical Exploration of 74/79
Let's explore various mathematical operations and concepts related to 74/79 and its additive inverse -74/79.
Basic Operations and Properties
- Square of 74/79: 0.87742348982535
- Cube of 74/79: 0.82189035755792
- Square root of |74/79|: 0.96783720777799
- Reciprocal of 74/79: 1.0675675675676
- Double of 74/79: 1.873417721519
- Half of 74/79: 0.46835443037975
- Absolute value of 74/79: 0.93670886075949
Trigonometric Functions
- Sine of 74/79: 0.8056126558283
- Cosine of 74/79: 0.59244261221596
- Tangent of 74/79: 1.359815514983
Exponential and Logarithmic Functions
- e^74/79: 2.5515700121753
- Natural log of 74/79: -0.065382759262852
Floor and Ceiling Functions
- Floor of 74/79: 0
- Ceiling of 74/79: 1
Interesting Properties and Relationships
- The sum of 74/79 and its additive inverse (-74/79) is always 0.
- The product of 74/79 and its additive inverse is: -5476
- The average of 74/79 and its additive inverse is always 0.
- The distance between 74/79 and its additive inverse on a number line is: 148
Applications in Algebra
Consider the equation: x + 74/79 = 0
The solution to this equation is x = -74/79, which is the additive inverse of 74/79.
Graphical Representation
On a coordinate plane:
- The point (74/79, 0) is reflected across the y-axis to (-74/79, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74/79 and Its Additive Inverse
Consider the alternating series: 74/79 + (-74/79) + 74/79 + (-74/79) + ...
The sum of this series oscillates between 0 and 74/79, never converging unless 74/79 is 0.
In Number Theory
For integer values:
- If 74/79 is even, its additive inverse is also even.
- If 74/79 is odd, its additive inverse is also odd.
- The sum of the digits of 74/79 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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