28/35 Additive Inverse :
The additive inverse of 28/35 is -28/35.
This means that when we add 28/35 and -28/35, the result is zero:
28/35 + (-28/35) = 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: 28/35
- Additive inverse: -28/35
To verify: 28/35 + (-28/35) = 0
Extended Mathematical Exploration of 28/35
Let's explore various mathematical operations and concepts related to 28/35 and its additive inverse -28/35.
Basic Operations and Properties
- Square of 28/35: 0.64
- Cube of 28/35: 0.512
- Square root of |28/35|: 0.89442719099992
- Reciprocal of 28/35: 1.25
- Double of 28/35: 1.6
- Half of 28/35: 0.4
- Absolute value of 28/35: 0.8
Trigonometric Functions
- Sine of 28/35: 0.71735609089952
- Cosine of 28/35: 0.69670670934717
- Tangent of 28/35: 1.0296385570504
Exponential and Logarithmic Functions
- e^28/35: 2.2255409284925
- Natural log of 28/35: -0.22314355131421
Floor and Ceiling Functions
- Floor of 28/35: 0
- Ceiling of 28/35: 1
Interesting Properties and Relationships
- The sum of 28/35 and its additive inverse (-28/35) is always 0.
- The product of 28/35 and its additive inverse is: -784
- The average of 28/35 and its additive inverse is always 0.
- The distance between 28/35 and its additive inverse on a number line is: 56
Applications in Algebra
Consider the equation: x + 28/35 = 0
The solution to this equation is x = -28/35, which is the additive inverse of 28/35.
Graphical Representation
On a coordinate plane:
- The point (28/35, 0) is reflected across the y-axis to (-28/35, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 28/35 and Its Additive Inverse
Consider the alternating series: 28/35 + (-28/35) + 28/35 + (-28/35) + ...
The sum of this series oscillates between 0 and 28/35, never converging unless 28/35 is 0.
In Number Theory
For integer values:
- If 28/35 is even, its additive inverse is also even.
- If 28/35 is odd, its additive inverse is also odd.
- The sum of the digits of 28/35 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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