74/89 Additive Inverse :
The additive inverse of 74/89 is -74/89.
This means that when we add 74/89 and -74/89, the result is zero:
74/89 + (-74/89) = 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: 74/89
- Additive inverse: -74/89
To verify: 74/89 + (-74/89) = 0
Extended Mathematical Exploration of 74/89
Let's explore various mathematical operations and concepts related to 74/89 and its additive inverse -74/89.
Basic Operations and Properties
- Square of 74/89: 0.69132685267012
- Cube of 74/89: 0.57481109098414
- Square root of |74/89|: 0.91184465461903
- Reciprocal of 74/89: 1.2027027027027
- Double of 74/89: 1.6629213483146
- Half of 74/89: 0.41573033707865
- Absolute value of 74/89: 0.8314606741573
Trigonometric Functions
- Sine of 74/89: 0.73891635712795
- Cosine of 74/89: 0.67379716322404
- Tangent of 74/89: 1.0966450995316
Exponential and Logarithmic Functions
- e^74/89: 2.296670979351
- Natural log of 74/89: -0.18457127652797
Floor and Ceiling Functions
- Floor of 74/89: 0
- Ceiling of 74/89: 1
Interesting Properties and Relationships
- The sum of 74/89 and its additive inverse (-74/89) is always 0.
- The product of 74/89 and its additive inverse is: -5476
- The average of 74/89 and its additive inverse is always 0.
- The distance between 74/89 and its additive inverse on a number line is: 148
Applications in Algebra
Consider the equation: x + 74/89 = 0
The solution to this equation is x = -74/89, which is the additive inverse of 74/89.
Graphical Representation
On a coordinate plane:
- The point (74/89, 0) is reflected across the y-axis to (-74/89, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74/89 and Its Additive Inverse
Consider the alternating series: 74/89 + (-74/89) + 74/89 + (-74/89) + ...
The sum of this series oscillates between 0 and 74/89, never converging unless 74/89 is 0.
In Number Theory
For integer values:
- If 74/89 is even, its additive inverse is also even.
- If 74/89 is odd, its additive inverse is also odd.
- The sum of the digits of 74/89 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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