28/34 Additive Inverse :
The additive inverse of 28/34 is -28/34.
This means that when we add 28/34 and -28/34, the result is zero:
28/34 + (-28/34) = 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: 28/34
- Additive inverse: -28/34
To verify: 28/34 + (-28/34) = 0
Extended Mathematical Exploration of 28/34
Let's explore various mathematical operations and concepts related to 28/34 and its additive inverse -28/34.
Basic Operations and Properties
- Square of 28/34: 0.67820069204152
- Cube of 28/34: 0.55851821697537
- Square root of |28/34|: 0.90748521297303
- Reciprocal of 28/34: 1.2142857142857
- Double of 28/34: 1.6470588235294
- Half of 28/34: 0.41176470588235
- Absolute value of 28/34: 0.82352941176471
Trigonometric Functions
- Sine of 28/34: 0.73354911043833
- Cosine of 28/34: 0.67963644882771
- Tangent of 28/34: 1.0793257361397
Exponential and Logarithmic Functions
- e^28/34: 2.278527524544
- Natural log of 28/34: -0.19415601444096
Floor and Ceiling Functions
- Floor of 28/34: 0
- Ceiling of 28/34: 1
Interesting Properties and Relationships
- The sum of 28/34 and its additive inverse (-28/34) is always 0.
- The product of 28/34 and its additive inverse is: -784
- The average of 28/34 and its additive inverse is always 0.
- The distance between 28/34 and its additive inverse on a number line is: 56
Applications in Algebra
Consider the equation: x + 28/34 = 0
The solution to this equation is x = -28/34, which is the additive inverse of 28/34.
Graphical Representation
On a coordinate plane:
- The point (28/34, 0) is reflected across the y-axis to (-28/34, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 28/34 and Its Additive Inverse
Consider the alternating series: 28/34 + (-28/34) + 28/34 + (-28/34) + ...
The sum of this series oscillates between 0 and 28/34, never converging unless 28/34 is 0.
In Number Theory
For integer values:
- If 28/34 is even, its additive inverse is also even.
- If 28/34 is odd, its additive inverse is also odd.
- The sum of the digits of 28/34 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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