48/55 Additive Inverse :
The additive inverse of 48/55 is -48/55.
This means that when we add 48/55 and -48/55, the result is zero:
48/55 + (-48/55) = 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: 48/55
- Additive inverse: -48/55
To verify: 48/55 + (-48/55) = 0
Extended Mathematical Exploration of 48/55
Let's explore various mathematical operations and concepts related to 48/55 and its additive inverse -48/55.
Basic Operations and Properties
- Square of 48/55: 0.76165289256198
- Cube of 48/55: 0.66471525169046
- Square root of |48/55|: 0.93419873299383
- Reciprocal of 48/55: 1.1458333333333
- Double of 48/55: 1.7454545454545
- Half of 48/55: 0.43636363636364
- Absolute value of 48/55: 0.87272727272727
Trigonometric Functions
- Sine of 48/55: 0.76608471015764
- Cosine of 48/55: 0.64273961824575
- Tangent of 48/55: 1.1919052263318
Exponential and Logarithmic Functions
- e^48/55: 2.3934294954142
- Natural log of 48/55: -0.13613217432458
Floor and Ceiling Functions
- Floor of 48/55: 0
- Ceiling of 48/55: 1
Interesting Properties and Relationships
- The sum of 48/55 and its additive inverse (-48/55) is always 0.
- The product of 48/55 and its additive inverse is: -2304
- The average of 48/55 and its additive inverse is always 0.
- The distance between 48/55 and its additive inverse on a number line is: 96
Applications in Algebra
Consider the equation: x + 48/55 = 0
The solution to this equation is x = -48/55, which is the additive inverse of 48/55.
Graphical Representation
On a coordinate plane:
- The point (48/55, 0) is reflected across the y-axis to (-48/55, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 48/55 and Its Additive Inverse
Consider the alternating series: 48/55 + (-48/55) + 48/55 + (-48/55) + ...
The sum of this series oscillates between 0 and 48/55, never converging unless 48/55 is 0.
In Number Theory
For integer values:
- If 48/55 is even, its additive inverse is also even.
- If 48/55 is odd, its additive inverse is also odd.
- The sum of the digits of 48/55 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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