71/79 Additive Inverse :
The additive inverse of 71/79 is -71/79.
This means that when we add 71/79 and -71/79, the result is zero:
71/79 + (-71/79) = 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: 71/79
- Additive inverse: -71/79
To verify: 71/79 + (-71/79) = 0
Extended Mathematical Exploration of 71/79
Let's explore various mathematical operations and concepts related to 71/79 and its additive inverse -71/79.
Basic Operations and Properties
- Square of 71/79: 0.80772312129466
- Cube of 71/79: 0.72592837483445
- Square root of |71/79|: 0.94801591611913
- Reciprocal of 71/79: 1.112676056338
- Double of 71/79: 1.7974683544304
- Half of 71/79: 0.44936708860759
- Absolute value of 71/79: 0.89873417721519
Trigonometric Functions
- Sine of 71/79: 0.78253943421137
- Cosine of 71/79: 0.62260102305099
- Tangent of 71/79: 1.2568874853058
Exponential and Logarithmic Functions
- e^71/79: 2.4564916591861
- Natural log of 71/79: -0.10676797542571
Floor and Ceiling Functions
- Floor of 71/79: 0
- Ceiling of 71/79: 1
Interesting Properties and Relationships
- The sum of 71/79 and its additive inverse (-71/79) is always 0.
- The product of 71/79 and its additive inverse is: -5041
- The average of 71/79 and its additive inverse is always 0.
- The distance between 71/79 and its additive inverse on a number line is: 142
Applications in Algebra
Consider the equation: x + 71/79 = 0
The solution to this equation is x = -71/79, which is the additive inverse of 71/79.
Graphical Representation
On a coordinate plane:
- The point (71/79, 0) is reflected across the y-axis to (-71/79, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 71/79 and Its Additive Inverse
Consider the alternating series: 71/79 + (-71/79) + 71/79 + (-71/79) + ...
The sum of this series oscillates between 0 and 71/79, never converging unless 71/79 is 0.
In Number Theory
For integer values:
- If 71/79 is even, its additive inverse is also even.
- If 71/79 is odd, its additive inverse is also odd.
- The sum of the digits of 71/79 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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