84/88 Additive Inverse :
The additive inverse of 84/88 is -84/88.
This means that when we add 84/88 and -84/88, the result is zero:
84/88 + (-84/88) = 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: 84/88
- Additive inverse: -84/88
To verify: 84/88 + (-84/88) = 0
Extended Mathematical Exploration of 84/88
Let's explore various mathematical operations and concepts related to 84/88 and its additive inverse -84/88.
Basic Operations and Properties
- Square of 84/88: 0.91115702479339
- Cube of 84/88: 0.86974079639369
- Square root of |84/88|: 0.97700842091839
- Reciprocal of 84/88: 1.047619047619
- Double of 84/88: 1.9090909090909
- Half of 84/88: 0.47727272727273
- Absolute value of 84/88: 0.95454545454545
Trigonometric Functions
- Sine of 84/88: 0.8160511066894
- Cosine of 84/88: 0.5779797498797
- Tangent of 84/88: 1.4119025914995
Exponential and Logarithmic Functions
- e^84/88: 2.5974896374352
- Natural log of 84/88: -0.046520015634893
Floor and Ceiling Functions
- Floor of 84/88: 0
- Ceiling of 84/88: 1
Interesting Properties and Relationships
- The sum of 84/88 and its additive inverse (-84/88) is always 0.
- The product of 84/88 and its additive inverse is: -7056
- The average of 84/88 and its additive inverse is always 0.
- The distance between 84/88 and its additive inverse on a number line is: 168
Applications in Algebra
Consider the equation: x + 84/88 = 0
The solution to this equation is x = -84/88, which is the additive inverse of 84/88.
Graphical Representation
On a coordinate plane:
- The point (84/88, 0) is reflected across the y-axis to (-84/88, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 84/88 and Its Additive Inverse
Consider the alternating series: 84/88 + (-84/88) + 84/88 + (-84/88) + ...
The sum of this series oscillates between 0 and 84/88, never converging unless 84/88 is 0.
In Number Theory
For integer values:
- If 84/88 is even, its additive inverse is also even.
- If 84/88 is odd, its additive inverse is also odd.
- The sum of the digits of 84/88 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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