24/34 Additive Inverse :
The additive inverse of 24/34 is -24/34.
This means that when we add 24/34 and -24/34, the result is zero:
24/34 + (-24/34) = 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: 24/34
- Additive inverse: -24/34
To verify: 24/34 + (-24/34) = 0
Extended Mathematical Exploration of 24/34
Let's explore various mathematical operations and concepts related to 24/34 and its additive inverse -24/34.
Basic Operations and Properties
- Square of 24/34: 0.49826989619377
- Cube of 24/34: 0.35171992672502
- Square root of |24/34|: 0.84016805041681
- Reciprocal of 24/34: 1.4166666666667
- Double of 24/34: 1.4117647058824
- Half of 24/34: 0.35294117647059
- Absolute value of 24/34: 0.70588235294118
Trigonometric Functions
- Sine of 24/34: 0.64870558737885
- Cosine of 24/34: 0.76103946080572
- Tangent of 24/34: 0.85239415403252
Exponential and Logarithmic Functions
- e^24/34: 2.0256332200586
- Natural log of 24/34: -0.34830669426822
Floor and Ceiling Functions
- Floor of 24/34: 0
- Ceiling of 24/34: 1
Interesting Properties and Relationships
- The sum of 24/34 and its additive inverse (-24/34) is always 0.
- The product of 24/34 and its additive inverse is: -576
- The average of 24/34 and its additive inverse is always 0.
- The distance between 24/34 and its additive inverse on a number line is: 48
Applications in Algebra
Consider the equation: x + 24/34 = 0
The solution to this equation is x = -24/34, which is the additive inverse of 24/34.
Graphical Representation
On a coordinate plane:
- The point (24/34, 0) is reflected across the y-axis to (-24/34, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 24/34 and Its Additive Inverse
Consider the alternating series: 24/34 + (-24/34) + 24/34 + (-24/34) + ...
The sum of this series oscillates between 0 and 24/34, never converging unless 24/34 is 0.
In Number Theory
For integer values:
- If 24/34 is even, its additive inverse is also even.
- If 24/34 is odd, its additive inverse is also odd.
- The sum of the digits of 24/34 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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