84/98 Additive Inverse :
The additive inverse of 84/98 is -84/98.
This means that when we add 84/98 and -84/98, the result is zero:
84/98 + (-84/98) = 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: 84/98
- Additive inverse: -84/98
To verify: 84/98 + (-84/98) = 0
Extended Mathematical Exploration of 84/98
Let's explore various mathematical operations and concepts related to 84/98 and its additive inverse -84/98.
Basic Operations and Properties
- Square of 84/98: 0.73469387755102
- Cube of 84/98: 0.62973760932945
- Square root of |84/98|: 0.92582009977255
- Reciprocal of 84/98: 1.1666666666667
- Double of 84/98: 1.7142857142857
- Half of 84/98: 0.42857142857143
- Absolute value of 84/98: 0.85714285714286
Trigonometric Functions
- Sine of 84/98: 0.75597536514673
- Cosine of 84/98: 0.65460006667527
- Tangent of 84/98: 1.1548660069443
Exponential and Logarithmic Functions
- e^84/98: 2.3564184423837
- Natural log of 84/98: -0.15415067982726
Floor and Ceiling Functions
- Floor of 84/98: 0
- Ceiling of 84/98: 1
Interesting Properties and Relationships
- The sum of 84/98 and its additive inverse (-84/98) is always 0.
- The product of 84/98 and its additive inverse is: -7056
- The average of 84/98 and its additive inverse is always 0.
- The distance between 84/98 and its additive inverse on a number line is: 168
Applications in Algebra
Consider the equation: x + 84/98 = 0
The solution to this equation is x = -84/98, which is the additive inverse of 84/98.
Graphical Representation
On a coordinate plane:
- The point (84/98, 0) is reflected across the y-axis to (-84/98, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 84/98 and Its Additive Inverse
Consider the alternating series: 84/98 + (-84/98) + 84/98 + (-84/98) + ...
The sum of this series oscillates between 0 and 84/98, never converging unless 84/98 is 0.
In Number Theory
For integer values:
- If 84/98 is even, its additive inverse is also even.
- If 84/98 is odd, its additive inverse is also odd.
- The sum of the digits of 84/98 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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