42/55 Additive Inverse :
The additive inverse of 42/55 is -42/55.
This means that when we add 42/55 and -42/55, the result is zero:
42/55 + (-42/55) = 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: 42/55
- Additive inverse: -42/55
To verify: 42/55 + (-42/55) = 0
Extended Mathematical Exploration of 42/55
Let's explore various mathematical operations and concepts related to 42/55 and its additive inverse -42/55.
Basic Operations and Properties
- Square of 42/55: 0.58314049586777
- Cube of 42/55: 0.44530728775357
- Square root of |42/55|: 0.8738628975053
- Reciprocal of 42/55: 1.3095238095238
- Double of 42/55: 1.5272727272727
- Half of 42/55: 0.38181818181818
- Absolute value of 42/55: 0.76363636363636
Trigonometric Functions
- Sine of 42/55: 0.69155265176598
- Cosine of 42/55: 0.7223260550717
- Tangent of 42/55: 0.95739679734705
Exponential and Logarithmic Functions
- e^42/55: 2.1460659249048
- Natural log of 42/55: -0.2696635669491
Floor and Ceiling Functions
- Floor of 42/55: 0
- Ceiling of 42/55: 1
Interesting Properties and Relationships
- The sum of 42/55 and its additive inverse (-42/55) is always 0.
- The product of 42/55 and its additive inverse is: -1764
- The average of 42/55 and its additive inverse is always 0.
- The distance between 42/55 and its additive inverse on a number line is: 84
Applications in Algebra
Consider the equation: x + 42/55 = 0
The solution to this equation is x = -42/55, which is the additive inverse of 42/55.
Graphical Representation
On a coordinate plane:
- The point (42/55, 0) is reflected across the y-axis to (-42/55, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 42/55 and Its Additive Inverse
Consider the alternating series: 42/55 + (-42/55) + 42/55 + (-42/55) + ...
The sum of this series oscillates between 0 and 42/55, never converging unless 42/55 is 0.
In Number Theory
For integer values:
- If 42/55 is even, its additive inverse is also even.
- If 42/55 is odd, its additive inverse is also odd.
- The sum of the digits of 42/55 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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