87/98 Additive Inverse :
The additive inverse of 87/98 is -87/98.
This means that when we add 87/98 and -87/98, the result is zero:
87/98 + (-87/98) = 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: 87/98
- Additive inverse: -87/98
To verify: 87/98 + (-87/98) = 0
Extended Mathematical Exploration of 87/98
Let's explore various mathematical operations and concepts related to 87/98 and its additive inverse -87/98.
Basic Operations and Properties
- Square of 87/98: 0.7881091211995
- Cube of 87/98: 0.69964789330976
- Square root of |87/98|: 0.94220756844807
- Reciprocal of 87/98: 1.1264367816092
- Double of 87/98: 1.7755102040816
- Half of 87/98: 0.44387755102041
- Absolute value of 87/98: 0.88775510204082
Trigonometric Functions
- Sine of 87/98: 0.77565682488799
- Cosine of 87/98: 0.63115488590733
- Tangent of 87/98: 1.2289484597318
Exponential and Logarithmic Functions
- e^87/98: 2.4296691651157
- Natural log of 87/98: -0.11905936001599
Floor and Ceiling Functions
- Floor of 87/98: 0
- Ceiling of 87/98: 1
Interesting Properties and Relationships
- The sum of 87/98 and its additive inverse (-87/98) is always 0.
- The product of 87/98 and its additive inverse is: -7569
- The average of 87/98 and its additive inverse is always 0.
- The distance between 87/98 and its additive inverse on a number line is: 174
Applications in Algebra
Consider the equation: x + 87/98 = 0
The solution to this equation is x = -87/98, which is the additive inverse of 87/98.
Graphical Representation
On a coordinate plane:
- The point (87/98, 0) is reflected across the y-axis to (-87/98, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 87/98 and Its Additive Inverse
Consider the alternating series: 87/98 + (-87/98) + 87/98 + (-87/98) + ...
The sum of this series oscillates between 0 and 87/98, never converging unless 87/98 is 0.
In Number Theory
For integer values:
- If 87/98 is even, its additive inverse is also even.
- If 87/98 is odd, its additive inverse is also odd.
- The sum of the digits of 87/98 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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