84/87 Additive Inverse :
The additive inverse of 84/87 is -84/87.
This means that when we add 84/87 and -84/87, the result is zero:
84/87 + (-84/87) = 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: 84/87
- Additive inverse: -84/87
To verify: 84/87 + (-84/87) = 0
Extended Mathematical Exploration of 84/87
Let's explore various mathematical operations and concepts related to 84/87 and its additive inverse -84/87.
Basic Operations and Properties
- Square of 84/87: 0.93222354340071
- Cube of 84/87: 0.9000779039731
- Square root of |84/87|: 0.98260736888103
- Reciprocal of 84/87: 1.0357142857143
- Double of 84/87: 1.9310344827586
- Half of 84/87: 0.48275862068966
- Absolute value of 84/87: 0.96551724137931
Trigonometric Functions
- Sine of 84/87: 0.82234333240222
- Cosine of 84/87: 0.5689916024456
- Tangent of 84/87: 1.4452644447962
Exponential and Logarithmic Functions
- e^84/87: 2.626145656439
- Natural log of 84/87: -0.03509131981127
Floor and Ceiling Functions
- Floor of 84/87: 0
- Ceiling of 84/87: 1
Interesting Properties and Relationships
- The sum of 84/87 and its additive inverse (-84/87) is always 0.
- The product of 84/87 and its additive inverse is: -7056
- The average of 84/87 and its additive inverse is always 0.
- The distance between 84/87 and its additive inverse on a number line is: 168
Applications in Algebra
Consider the equation: x + 84/87 = 0
The solution to this equation is x = -84/87, which is the additive inverse of 84/87.
Graphical Representation
On a coordinate plane:
- The point (84/87, 0) is reflected across the y-axis to (-84/87, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 84/87 and Its Additive Inverse
Consider the alternating series: 84/87 + (-84/87) + 84/87 + (-84/87) + ...
The sum of this series oscillates between 0 and 84/87, never converging unless 84/87 is 0.
In Number Theory
For integer values:
- If 84/87 is even, its additive inverse is also even.
- If 84/87 is odd, its additive inverse is also odd.
- The sum of the digits of 84/87 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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