28/42 Additive Inverse :
The additive inverse of 28/42 is -28/42.
This means that when we add 28/42 and -28/42, the result is zero:
28/42 + (-28/42) = 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: 28/42
- Additive inverse: -28/42
To verify: 28/42 + (-28/42) = 0
Extended Mathematical Exploration of 28/42
Let's explore various mathematical operations and concepts related to 28/42 and its additive inverse -28/42.
Basic Operations and Properties
- Square of 28/42: 0.44444444444444
- Cube of 28/42: 0.2962962962963
- Square root of |28/42|: 0.81649658092773
- Reciprocal of 28/42: 1.5
- Double of 28/42: 1.3333333333333
- Half of 28/42: 0.33333333333333
- Absolute value of 28/42: 0.66666666666667
Trigonometric Functions
- Sine of 28/42: 0.61836980306974
- Cosine of 28/42: 0.78588726077695
- Tangent of 28/42: 0.78684288947298
Exponential and Logarithmic Functions
- e^28/42: 1.9477340410547
- Natural log of 28/42: -0.40546510810816
Floor and Ceiling Functions
- Floor of 28/42: 0
- Ceiling of 28/42: 1
Interesting Properties and Relationships
- The sum of 28/42 and its additive inverse (-28/42) is always 0.
- The product of 28/42 and its additive inverse is: -784
- The average of 28/42 and its additive inverse is always 0.
- The distance between 28/42 and its additive inverse on a number line is: 56
Applications in Algebra
Consider the equation: x + 28/42 = 0
The solution to this equation is x = -28/42, which is the additive inverse of 28/42.
Graphical Representation
On a coordinate plane:
- The point (28/42, 0) is reflected across the y-axis to (-28/42, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 28/42 and Its Additive Inverse
Consider the alternating series: 28/42 + (-28/42) + 28/42 + (-28/42) + ...
The sum of this series oscillates between 0 and 28/42, never converging unless 28/42 is 0.
In Number Theory
For integer values:
- If 28/42 is even, its additive inverse is also even.
- If 28/42 is odd, its additive inverse is also odd.
- The sum of the digits of 28/42 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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