74/86 Additive Inverse :
The additive inverse of 74/86 is -74/86.
This means that when we add 74/86 and -74/86, the result is zero:
74/86 + (-74/86) = 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: 74/86
- Additive inverse: -74/86
To verify: 74/86 + (-74/86) = 0
Extended Mathematical Exploration of 74/86
Let's explore various mathematical operations and concepts related to 74/86 and its additive inverse -74/86.
Basic Operations and Properties
- Square of 74/86: 0.74040021633315
- Cube of 74/86: 0.63708855824015
- Square root of |74/86|: 0.92761258954322
- Reciprocal of 74/86: 1.1621621621622
- Double of 74/86: 1.7209302325581
- Half of 74/86: 0.43023255813953
- Absolute value of 74/86: 0.86046511627907
Trigonometric Functions
- Sine of 74/86: 0.75814594019862
- Cosine of 74/86: 0.65208491269186
- Tangent of 74/86: 1.1626491051126
Exponential and Logarithmic Functions
- e^74/86: 2.3642600938691
- Natural log of 74/86: -0.15028220304934
Floor and Ceiling Functions
- Floor of 74/86: 0
- Ceiling of 74/86: 1
Interesting Properties and Relationships
- The sum of 74/86 and its additive inverse (-74/86) is always 0.
- The product of 74/86 and its additive inverse is: -5476
- The average of 74/86 and its additive inverse is always 0.
- The distance between 74/86 and its additive inverse on a number line is: 148
Applications in Algebra
Consider the equation: x + 74/86 = 0
The solution to this equation is x = -74/86, which is the additive inverse of 74/86.
Graphical Representation
On a coordinate plane:
- The point (74/86, 0) is reflected across the y-axis to (-74/86, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74/86 and Its Additive Inverse
Consider the alternating series: 74/86 + (-74/86) + 74/86 + (-74/86) + ...
The sum of this series oscillates between 0 and 74/86, never converging unless 74/86 is 0.
In Number Theory
For integer values:
- If 74/86 is even, its additive inverse is also even.
- If 74/86 is odd, its additive inverse is also odd.
- The sum of the digits of 74/86 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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