31/46 Additive Inverse :
The additive inverse of 31/46 is -31/46.
This means that when we add 31/46 and -31/46, the result is zero:
31/46 + (-31/46) = 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: 31/46
- Additive inverse: -31/46
To verify: 31/46 + (-31/46) = 0
Extended Mathematical Exploration of 31/46
Let's explore various mathematical operations and concepts related to 31/46 and its additive inverse -31/46.
Basic Operations and Properties
- Square of 31/46: 0.45415879017013
- Cube of 31/46: 0.30606353250596
- Square root of |31/46|: 0.82092206906518
- Reciprocal of 31/46: 1.4838709677419
- Double of 31/46: 1.3478260869565
- Half of 31/46: 0.33695652173913
- Absolute value of 31/46: 0.67391304347826
Trigonometric Functions
- Sine of 31/46: 0.62404835323262
- Cosine of 31/46: 0.78138572601991
- Tangent of 31/46: 0.79864314441894
Exponential and Logarithmic Functions
- e^31/46: 1.9618993173249
- Natural log of 31/46: -0.39465419200395
Floor and Ceiling Functions
- Floor of 31/46: 0
- Ceiling of 31/46: 1
Interesting Properties and Relationships
- The sum of 31/46 and its additive inverse (-31/46) is always 0.
- The product of 31/46 and its additive inverse is: -961
- The average of 31/46 and its additive inverse is always 0.
- The distance between 31/46 and its additive inverse on a number line is: 62
Applications in Algebra
Consider the equation: x + 31/46 = 0
The solution to this equation is x = -31/46, which is the additive inverse of 31/46.
Graphical Representation
On a coordinate plane:
- The point (31/46, 0) is reflected across the y-axis to (-31/46, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 31/46 and Its Additive Inverse
Consider the alternating series: 31/46 + (-31/46) + 31/46 + (-31/46) + ...
The sum of this series oscillates between 0 and 31/46, never converging unless 31/46 is 0.
In Number Theory
For integer values:
- If 31/46 is even, its additive inverse is also even.
- If 31/46 is odd, its additive inverse is also odd.
- The sum of the digits of 31/46 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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