74/88 Additive Inverse :
The additive inverse of 74/88 is -74/88.
This means that when we add 74/88 and -74/88, the result is zero:
74/88 + (-74/88) = 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: 74/88
- Additive inverse: -74/88
To verify: 74/88 + (-74/88) = 0
Extended Mathematical Exploration of 74/88
Let's explore various mathematical operations and concepts related to 74/88 and its additive inverse -74/88.
Basic Operations and Properties
- Square of 74/88: 0.70712809917355
- Cube of 74/88: 0.59463044703231
- Square root of |74/88|: 0.91701095462873
- Reciprocal of 74/88: 1.1891891891892
- Double of 74/88: 1.6818181818182
- Half of 74/88: 0.42045454545455
- Absolute value of 74/88: 0.84090909090909
Trigonometric Functions
- Sine of 74/88: 0.74524959657066
- Cosine of 74/88: 0.6667856018326
- Tangent of 74/88: 1.1176749985639
Exponential and Logarithmic Functions
- e^74/88: 2.3184737224084
- Natural log of 74/88: -0.17327172127404
Floor and Ceiling Functions
- Floor of 74/88: 0
- Ceiling of 74/88: 1
Interesting Properties and Relationships
- The sum of 74/88 and its additive inverse (-74/88) is always 0.
- The product of 74/88 and its additive inverse is: -5476
- The average of 74/88 and its additive inverse is always 0.
- The distance between 74/88 and its additive inverse on a number line is: 148
Applications in Algebra
Consider the equation: x + 74/88 = 0
The solution to this equation is x = -74/88, which is the additive inverse of 74/88.
Graphical Representation
On a coordinate plane:
- The point (74/88, 0) is reflected across the y-axis to (-74/88, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74/88 and Its Additive Inverse
Consider the alternating series: 74/88 + (-74/88) + 74/88 + (-74/88) + ...
The sum of this series oscillates between 0 and 74/88, never converging unless 74/88 is 0.
In Number Theory
For integer values:
- If 74/88 is even, its additive inverse is also even.
- If 74/88 is odd, its additive inverse is also odd.
- The sum of the digits of 74/88 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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