20/24 Additive Inverse :
The additive inverse of 20/24 is -20/24.
This means that when we add 20/24 and -20/24, the result is zero:
20/24 + (-20/24) = 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: 20/24
- Additive inverse: -20/24
To verify: 20/24 + (-20/24) = 0
Extended Mathematical Exploration of 20/24
Let's explore various mathematical operations and concepts related to 20/24 and its additive inverse -20/24.
Basic Operations and Properties
- Square of 20/24: 0.69444444444444
- Cube of 20/24: 0.5787037037037
- Square root of |20/24|: 0.91287092917528
- Reciprocal of 20/24: 1.2
- Double of 20/24: 1.6666666666667
- Half of 20/24: 0.41666666666667
- Absolute value of 20/24: 0.83333333333333
Trigonometric Functions
- Sine of 20/24: 0.74017685319604
- Cosine of 20/24: 0.67241224408306
- Tangent of 20/24: 1.1007783687898
Exponential and Logarithmic Functions
- e^20/24: 2.3009758908928
- Natural log of 20/24: -0.18232155679395
Floor and Ceiling Functions
- Floor of 20/24: 0
- Ceiling of 20/24: 1
Interesting Properties and Relationships
- The sum of 20/24 and its additive inverse (-20/24) is always 0.
- The product of 20/24 and its additive inverse is: -400
- The average of 20/24 and its additive inverse is always 0.
- The distance between 20/24 and its additive inverse on a number line is: 40
Applications in Algebra
Consider the equation: x + 20/24 = 0
The solution to this equation is x = -20/24, which is the additive inverse of 20/24.
Graphical Representation
On a coordinate plane:
- The point (20/24, 0) is reflected across the y-axis to (-20/24, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 20/24 and Its Additive Inverse
Consider the alternating series: 20/24 + (-20/24) + 20/24 + (-20/24) + ...
The sum of this series oscillates between 0 and 20/24, never converging unless 20/24 is 0.
In Number Theory
For integer values:
- If 20/24 is even, its additive inverse is also even.
- If 20/24 is odd, its additive inverse is also odd.
- The sum of the digits of 20/24 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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