4/15 Additive Inverse :
The additive inverse of 4/15 is -4/15.
This means that when we add 4/15 and -4/15, the result is zero:
4/15 + (-4/15) = 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: 4/15
- Additive inverse: -4/15
To verify: 4/15 + (-4/15) = 0
Extended Mathematical Exploration of 4/15
Let's explore various mathematical operations and concepts related to 4/15 and its additive inverse -4/15.
Basic Operations and Properties
- Square of 4/15: 0.071111111111111
- Cube of 4/15: 0.018962962962963
- Square root of |4/15|: 0.51639777949432
- Reciprocal of 4/15: 3.75
- Double of 4/15: 0.53333333333333
- Half of 4/15: 0.13333333333333
- Absolute value of 4/15: 0.26666666666667
Trigonometric Functions
- Sine of 4/15: 0.26351739114354
- Cosine of 4/15: 0.96465464523056
- Tangent of 4/15: 0.27317277996474
Exponential and Logarithmic Functions
- e^4/15: 1.305605172065
- Natural log of 4/15: -1.3217558399823
Floor and Ceiling Functions
- Floor of 4/15: 0
- Ceiling of 4/15: 1
Interesting Properties and Relationships
- The sum of 4/15 and its additive inverse (-4/15) is always 0.
- The product of 4/15 and its additive inverse is: -16
- The average of 4/15 and its additive inverse is always 0.
- The distance between 4/15 and its additive inverse on a number line is: 8
Applications in Algebra
Consider the equation: x + 4/15 = 0
The solution to this equation is x = -4/15, which is the additive inverse of 4/15.
Graphical Representation
On a coordinate plane:
- The point (4/15, 0) is reflected across the y-axis to (-4/15, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 4/15 and Its Additive Inverse
Consider the alternating series: 4/15 + (-4/15) + 4/15 + (-4/15) + ...
The sum of this series oscillates between 0 and 4/15, never converging unless 4/15 is 0.
In Number Theory
For integer values:
- If 4/15 is even, its additive inverse is also even.
- If 4/15 is odd, its additive inverse is also odd.
- The sum of the digits of 4/15 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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