73/75 Additive Inverse :
The additive inverse of 73/75 is -73/75.
This means that when we add 73/75 and -73/75, the result is zero:
73/75 + (-73/75) = 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: 73/75
- Additive inverse: -73/75
To verify: 73/75 + (-73/75) = 0
Extended Mathematical Exploration of 73/75
Let's explore various mathematical operations and concepts related to 73/75 and its additive inverse -73/75.
Basic Operations and Properties
- Square of 73/75: 0.94737777777778
- Cube of 73/75: 0.92211437037037
- Square root of |73/75|: 0.98657657246325
- Reciprocal of 73/75: 1.027397260274
- Double of 73/75: 1.9466666666667
- Half of 73/75: 0.48666666666667
- Absolute value of 73/75: 0.97333333333333
Trigonometric Functions
- Sine of 73/75: 0.82676545892532
- Cosine of 73/75: 0.56254677665773
- Tangent of 73/75: 1.4696830436704
Exponential and Logarithmic Functions
- e^73/75: 2.6467522790962
- Natural log of 73/75: -0.027028672387919
Floor and Ceiling Functions
- Floor of 73/75: 0
- Ceiling of 73/75: 1
Interesting Properties and Relationships
- The sum of 73/75 and its additive inverse (-73/75) is always 0.
- The product of 73/75 and its additive inverse is: -5329
- The average of 73/75 and its additive inverse is always 0.
- The distance between 73/75 and its additive inverse on a number line is: 146
Applications in Algebra
Consider the equation: x + 73/75 = 0
The solution to this equation is x = -73/75, which is the additive inverse of 73/75.
Graphical Representation
On a coordinate plane:
- The point (73/75, 0) is reflected across the y-axis to (-73/75, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 73/75 and Its Additive Inverse
Consider the alternating series: 73/75 + (-73/75) + 73/75 + (-73/75) + ...
The sum of this series oscillates between 0 and 73/75, never converging unless 73/75 is 0.
In Number Theory
For integer values:
- If 73/75 is even, its additive inverse is also even.
- If 73/75 is odd, its additive inverse is also odd.
- The sum of the digits of 73/75 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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