67/79 Additive Inverse :
The additive inverse of 67/79 is -67/79.
This means that when we add 67/79 and -67/79, the result is zero:
67/79 + (-67/79) = 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: 67/79
- Additive inverse: -67/79
To verify: 67/79 + (-67/79) = 0
Extended Mathematical Exploration of 67/79
Let's explore various mathematical operations and concepts related to 67/79 and its additive inverse -67/79.
Basic Operations and Properties
- Square of 67/79: 0.71927575709021
- Cube of 67/79: 0.61001868006385
- Square root of |67/79|: 0.9209241368445
- Reciprocal of 67/79: 1.1791044776119
- Double of 67/79: 1.6962025316456
- Half of 67/79: 0.42405063291139
- Absolute value of 67/79: 0.84810126582278
Trigonometric Functions
- Sine of 67/79: 0.75002591908333
- Cosine of 67/79: 0.66140843712732
- Tangent of 67/79: 1.1339829929308
Exponential and Logarithmic Functions
- e^67/79: 2.3352086992551
- Natural log of 67/79: -0.16475523307606
Floor and Ceiling Functions
- Floor of 67/79: 0
- Ceiling of 67/79: 1
Interesting Properties and Relationships
- The sum of 67/79 and its additive inverse (-67/79) is always 0.
- The product of 67/79 and its additive inverse is: -4489
- The average of 67/79 and its additive inverse is always 0.
- The distance between 67/79 and its additive inverse on a number line is: 134
Applications in Algebra
Consider the equation: x + 67/79 = 0
The solution to this equation is x = -67/79, which is the additive inverse of 67/79.
Graphical Representation
On a coordinate plane:
- The point (67/79, 0) is reflected across the y-axis to (-67/79, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 67/79 and Its Additive Inverse
Consider the alternating series: 67/79 + (-67/79) + 67/79 + (-67/79) + ...
The sum of this series oscillates between 0 and 67/79, never converging unless 67/79 is 0.
In Number Theory
For integer values:
- If 67/79 is even, its additive inverse is also even.
- If 67/79 is odd, its additive inverse is also odd.
- The sum of the digits of 67/79 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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