74/75 Additive Inverse :
The additive inverse of 74/75 is -74/75.
This means that when we add 74/75 and -74/75, the result is zero:
74/75 + (-74/75) = 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: 74/75
- Additive inverse: -74/75
To verify: 74/75 + (-74/75) = 0
Extended Mathematical Exploration of 74/75
Let's explore various mathematical operations and concepts related to 74/75 and its additive inverse -74/75.
Basic Operations and Properties
- Square of 74/75: 0.97351111111111
- Cube of 74/75: 0.96053096296296
- Square root of |74/75|: 0.99331096171676
- Reciprocal of 74/75: 1.0135135135135
- Double of 74/75: 1.9733333333333
- Half of 74/75: 0.49333333333333
- Absolute value of 74/75: 0.98666666666667
Trigonometric Functions
- Sine of 74/75: 0.83419237120109
- Cosine of 74/75: 0.55147356040876
- Tangent of 74/75: 1.5126606805642
Exponential and Logarithmic Functions
- e^74/75: 2.6822786254787
- Natural log of 74/75: -0.013423020332141
Floor and Ceiling Functions
- Floor of 74/75: 0
- Ceiling of 74/75: 1
Interesting Properties and Relationships
- The sum of 74/75 and its additive inverse (-74/75) is always 0.
- The product of 74/75 and its additive inverse is: -5476
- The average of 74/75 and its additive inverse is always 0.
- The distance between 74/75 and its additive inverse on a number line is: 148
Applications in Algebra
Consider the equation: x + 74/75 = 0
The solution to this equation is x = -74/75, which is the additive inverse of 74/75.
Graphical Representation
On a coordinate plane:
- The point (74/75, 0) is reflected across the y-axis to (-74/75, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74/75 and Its Additive Inverse
Consider the alternating series: 74/75 + (-74/75) + 74/75 + (-74/75) + ...
The sum of this series oscillates between 0 and 74/75, never converging unless 74/75 is 0.
In Number Theory
For integer values:
- If 74/75 is even, its additive inverse is also even.
- If 74/75 is odd, its additive inverse is also odd.
- The sum of the digits of 74/75 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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