4/6 Additive Inverse :
The additive inverse of 4/6 is -4/6.
This means that when we add 4/6 and -4/6, the result is zero:
4/6 + (-4/6) = 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: 4/6
- Additive inverse: -4/6
To verify: 4/6 + (-4/6) = 0
Extended Mathematical Exploration of 4/6
Let's explore various mathematical operations and concepts related to 4/6 and its additive inverse -4/6.
Basic Operations and Properties
- Square of 4/6: 0.44444444444444
- Cube of 4/6: 0.2962962962963
- Square root of |4/6|: 0.81649658092773
- Reciprocal of 4/6: 1.5
- Double of 4/6: 1.3333333333333
- Half of 4/6: 0.33333333333333
- Absolute value of 4/6: 0.66666666666667
Trigonometric Functions
- Sine of 4/6: 0.61836980306974
- Cosine of 4/6: 0.78588726077695
- Tangent of 4/6: 0.78684288947298
Exponential and Logarithmic Functions
- e^4/6: 1.9477340410547
- Natural log of 4/6: -0.40546510810816
Floor and Ceiling Functions
- Floor of 4/6: 0
- Ceiling of 4/6: 1
Interesting Properties and Relationships
- The sum of 4/6 and its additive inverse (-4/6) is always 0.
- The product of 4/6 and its additive inverse is: -16
- The average of 4/6 and its additive inverse is always 0.
- The distance between 4/6 and its additive inverse on a number line is: 8
Applications in Algebra
Consider the equation: x + 4/6 = 0
The solution to this equation is x = -4/6, which is the additive inverse of 4/6.
Graphical Representation
On a coordinate plane:
- The point (4/6, 0) is reflected across the y-axis to (-4/6, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 4/6 and Its Additive Inverse
Consider the alternating series: 4/6 + (-4/6) + 4/6 + (-4/6) + ...
The sum of this series oscillates between 0 and 4/6, never converging unless 4/6 is 0.
In Number Theory
For integer values:
- If 4/6 is even, its additive inverse is also even.
- If 4/6 is odd, its additive inverse is also odd.
- The sum of the digits of 4/6 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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