45/46 Additive Inverse :
The additive inverse of 45/46 is -45/46.
This means that when we add 45/46 and -45/46, the result is zero:
45/46 + (-45/46) = 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: 45/46
- Additive inverse: -45/46
To verify: 45/46 + (-45/46) = 0
Extended Mathematical Exploration of 45/46
Let's explore various mathematical operations and concepts related to 45/46 and its additive inverse -45/46.
Basic Operations and Properties
- Square of 45/46: 0.9569943289225
- Cube of 45/46: 0.9361901043807
- Square root of |45/46|: 0.98907071009368
- Reciprocal of 45/46: 1.0222222222222
- Double of 45/46: 1.9565217391304
- Half of 45/46: 0.48913043478261
- Absolute value of 45/46: 0.97826086956522
Trigonometric Functions
- Sine of 45/46: 0.82952738016603
- Cosine of 45/46: 0.55846604691323
- Tangent of 45/46: 1.4853676150072
Exponential and Logarithmic Functions
- e^45/46: 2.6598264320755
- Natural log of 45/46: -0.021978906718775
Floor and Ceiling Functions
- Floor of 45/46: 0
- Ceiling of 45/46: 1
Interesting Properties and Relationships
- The sum of 45/46 and its additive inverse (-45/46) is always 0.
- The product of 45/46 and its additive inverse is: -2025
- The average of 45/46 and its additive inverse is always 0.
- The distance between 45/46 and its additive inverse on a number line is: 90
Applications in Algebra
Consider the equation: x + 45/46 = 0
The solution to this equation is x = -45/46, which is the additive inverse of 45/46.
Graphical Representation
On a coordinate plane:
- The point (45/46, 0) is reflected across the y-axis to (-45/46, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 45/46 and Its Additive Inverse
Consider the alternating series: 45/46 + (-45/46) + 45/46 + (-45/46) + ...
The sum of this series oscillates between 0 and 45/46, never converging unless 45/46 is 0.
In Number Theory
For integer values:
- If 45/46 is even, its additive inverse is also even.
- If 45/46 is odd, its additive inverse is also odd.
- The sum of the digits of 45/46 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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