46/55 Additive Inverse :
The additive inverse of 46/55 is -46/55.
This means that when we add 46/55 and -46/55, the result is zero:
46/55 + (-46/55) = 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: 46/55
- Additive inverse: -46/55
To verify: 46/55 + (-46/55) = 0
Extended Mathematical Exploration of 46/55
Let's explore various mathematical operations and concepts related to 46/55 and its additive inverse -46/55.
Basic Operations and Properties
- Square of 46/55: 0.6995041322314
- Cube of 46/55: 0.58503981968445
- Square root of |46/55|: 0.91452918836068
- Reciprocal of 46/55: 1.195652173913
- Double of 46/55: 1.6727272727273
- Half of 46/55: 0.41818181818182
- Absolute value of 46/55: 0.83636363636364
Trigonometric Functions
- Sine of 46/55: 0.74221106451653
- Cosine of 46/55: 0.67016620006476
- Tangent of 46/55: 1.1075029812677
Exponential and Logarithmic Functions
- e^46/55: 2.3079591204147
- Natural log of 46/55: -0.17869178874338
Floor and Ceiling Functions
- Floor of 46/55: 0
- Ceiling of 46/55: 1
Interesting Properties and Relationships
- The sum of 46/55 and its additive inverse (-46/55) is always 0.
- The product of 46/55 and its additive inverse is: -2116
- The average of 46/55 and its additive inverse is always 0.
- The distance between 46/55 and its additive inverse on a number line is: 92
Applications in Algebra
Consider the equation: x + 46/55 = 0
The solution to this equation is x = -46/55, which is the additive inverse of 46/55.
Graphical Representation
On a coordinate plane:
- The point (46/55, 0) is reflected across the y-axis to (-46/55, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 46/55 and Its Additive Inverse
Consider the alternating series: 46/55 + (-46/55) + 46/55 + (-46/55) + ...
The sum of this series oscillates between 0 and 46/55, never converging unless 46/55 is 0.
In Number Theory
For integer values:
- If 46/55 is even, its additive inverse is also even.
- If 46/55 is odd, its additive inverse is also odd.
- The sum of the digits of 46/55 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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