74/84 Additive Inverse :
The additive inverse of 74/84 is -74/84.
This means that when we add 74/84 and -74/84, the result is zero:
74/84 + (-74/84) = 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: 74/84
- Additive inverse: -74/84
To verify: 74/84 + (-74/84) = 0
Extended Mathematical Exploration of 74/84
Let's explore various mathematical operations and concepts related to 74/84 and its additive inverse -74/84.
Basic Operations and Properties
- Square of 74/84: 0.77607709750567
- Cube of 74/84: 0.68368696685023
- Square root of |74/84|: 0.93859063544891
- Reciprocal of 74/84: 1.1351351351351
- Double of 74/84: 1.7619047619048
- Half of 74/84: 0.44047619047619
- Absolute value of 74/84: 0.88095238095238
Trigonometric Functions
- Sine of 74/84: 0.77134533987934
- Cosine of 74/84: 0.63641681832461
- Tangent of 74/84: 1.2120128156103
Exponential and Logarithmic Functions
- e^74/84: 2.4131968951014
- Natural log of 74/84: -0.12675170563914
Floor and Ceiling Functions
- Floor of 74/84: 0
- Ceiling of 74/84: 1
Interesting Properties and Relationships
- The sum of 74/84 and its additive inverse (-74/84) is always 0.
- The product of 74/84 and its additive inverse is: -5476
- The average of 74/84 and its additive inverse is always 0.
- The distance between 74/84 and its additive inverse on a number line is: 148
Applications in Algebra
Consider the equation: x + 74/84 = 0
The solution to this equation is x = -74/84, which is the additive inverse of 74/84.
Graphical Representation
On a coordinate plane:
- The point (74/84, 0) is reflected across the y-axis to (-74/84, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 74/84 and Its Additive Inverse
Consider the alternating series: 74/84 + (-74/84) + 74/84 + (-74/84) + ...
The sum of this series oscillates between 0 and 74/84, never converging unless 74/84 is 0.
In Number Theory
For integer values:
- If 74/84 is even, its additive inverse is also even.
- If 74/84 is odd, its additive inverse is also odd.
- The sum of the digits of 74/84 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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