45/55 Additive Inverse :
The additive inverse of 45/55 is -45/55.
This means that when we add 45/55 and -45/55, the result is zero:
45/55 + (-45/55) = 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: 45/55
- Additive inverse: -45/55
To verify: 45/55 + (-45/55) = 0
Extended Mathematical Exploration of 45/55
Let's explore various mathematical operations and concepts related to 45/55 and its additive inverse -45/55.
Basic Operations and Properties
- Square of 45/55: 0.66942148760331
- Cube of 45/55: 0.54770848985725
- Square root of |45/55|: 0.90453403373329
- Reciprocal of 45/55: 1.2222222222222
- Double of 45/55: 1.6363636363636
- Half of 45/55: 0.40909090909091
- Absolute value of 45/55: 0.81818181818182
Trigonometric Functions
- Sine of 45/55: 0.72990421971007
- Cosine of 45/55: 0.68354943497119
- Tangent of 45/55: 1.0678148241624
Exponential and Logarithmic Functions
- e^45/55: 2.2663754066285
- Natural log of 45/55: -0.20067069546215
Floor and Ceiling Functions
- Floor of 45/55: 0
- Ceiling of 45/55: 1
Interesting Properties and Relationships
- The sum of 45/55 and its additive inverse (-45/55) is always 0.
- The product of 45/55 and its additive inverse is: -2025
- The average of 45/55 and its additive inverse is always 0.
- The distance between 45/55 and its additive inverse on a number line is: 90
Applications in Algebra
Consider the equation: x + 45/55 = 0
The solution to this equation is x = -45/55, which is the additive inverse of 45/55.
Graphical Representation
On a coordinate plane:
- The point (45/55, 0) is reflected across the y-axis to (-45/55, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 45/55 and Its Additive Inverse
Consider the alternating series: 45/55 + (-45/55) + 45/55 + (-45/55) + ...
The sum of this series oscillates between 0 and 45/55, never converging unless 45/55 is 0.
In Number Theory
For integer values:
- If 45/55 is even, its additive inverse is also even.
- If 45/55 is odd, its additive inverse is also odd.
- The sum of the digits of 45/55 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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