24/35 Additive Inverse :
The additive inverse of 24/35 is -24/35.
This means that when we add 24/35 and -24/35, the result is zero:
24/35 + (-24/35) = 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: 24/35
- Additive inverse: -24/35
To verify: 24/35 + (-24/35) = 0
Extended Mathematical Exploration of 24/35
Let's explore various mathematical operations and concepts related to 24/35 and its additive inverse -24/35.
Basic Operations and Properties
- Square of 24/35: 0.47020408163265
- Cube of 24/35: 0.32242565597668
- Square root of |24/35|: 0.82807867121083
- Reciprocal of 24/35: 1.4583333333333
- Double of 24/35: 1.3714285714286
- Half of 24/35: 0.34285714285714
- Absolute value of 24/35: 0.68571428571429
Trigonometric Functions
- Sine of 24/35: 0.63322600653539
- Cosine of 24/35: 0.77396694028056
- Tangent of 24/35: 0.81815640123576
Exponential and Logarithmic Functions
- e^24/35: 1.9851893216044
- Natural log of 24/35: -0.37729423114147
Floor and Ceiling Functions
- Floor of 24/35: 0
- Ceiling of 24/35: 1
Interesting Properties and Relationships
- The sum of 24/35 and its additive inverse (-24/35) is always 0.
- The product of 24/35 and its additive inverse is: -576
- The average of 24/35 and its additive inverse is always 0.
- The distance between 24/35 and its additive inverse on a number line is: 48
Applications in Algebra
Consider the equation: x + 24/35 = 0
The solution to this equation is x = -24/35, which is the additive inverse of 24/35.
Graphical Representation
On a coordinate plane:
- The point (24/35, 0) is reflected across the y-axis to (-24/35, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 24/35 and Its Additive Inverse
Consider the alternating series: 24/35 + (-24/35) + 24/35 + (-24/35) + ...
The sum of this series oscillates between 0 and 24/35, never converging unless 24/35 is 0.
In Number Theory
For integer values:
- If 24/35 is even, its additive inverse is also even.
- If 24/35 is odd, its additive inverse is also odd.
- The sum of the digits of 24/35 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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