42/46 Additive Inverse :
The additive inverse of 42/46 is -42/46.
This means that when we add 42/46 and -42/46, the result is zero:
42/46 + (-42/46) = 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: 42/46
- Additive inverse: -42/46
To verify: 42/46 + (-42/46) = 0
Extended Mathematical Exploration of 42/46
Let's explore various mathematical operations and concepts related to 42/46 and its additive inverse -42/46.
Basic Operations and Properties
- Square of 42/46: 0.83364839319471
- Cube of 42/46: 0.76115722856908
- Square root of |42/46|: 0.95553308590591
- Reciprocal of 42/46: 1.0952380952381
- Double of 42/46: 1.8260869565217
- Half of 42/46: 0.45652173913043
- Absolute value of 42/46: 0.91304347826087
Trigonometric Functions
- Sine of 42/46: 0.79136800216356
- Cosine of 42/46: 0.6113400732421
- Tangent of 42/46: 1.2944808246689
Exponential and Logarithmic Functions
- e^42/46: 2.4918950325312
- Natural log of 42/46: -0.090971778205727
Floor and Ceiling Functions
- Floor of 42/46: 0
- Ceiling of 42/46: 1
Interesting Properties and Relationships
- The sum of 42/46 and its additive inverse (-42/46) is always 0.
- The product of 42/46 and its additive inverse is: -1764
- The average of 42/46 and its additive inverse is always 0.
- The distance between 42/46 and its additive inverse on a number line is: 84
Applications in Algebra
Consider the equation: x + 42/46 = 0
The solution to this equation is x = -42/46, which is the additive inverse of 42/46.
Graphical Representation
On a coordinate plane:
- The point (42/46, 0) is reflected across the y-axis to (-42/46, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 42/46 and Its Additive Inverse
Consider the alternating series: 42/46 + (-42/46) + 42/46 + (-42/46) + ...
The sum of this series oscillates between 0 and 42/46, never converging unless 42/46 is 0.
In Number Theory
For integer values:
- If 42/46 is even, its additive inverse is also even.
- If 42/46 is odd, its additive inverse is also odd.
- The sum of the digits of 42/46 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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