28/40 Additive Inverse :
The additive inverse of 28/40 is -28/40.
This means that when we add 28/40 and -28/40, the result is zero:
28/40 + (-28/40) = 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: 28/40
- Additive inverse: -28/40
To verify: 28/40 + (-28/40) = 0
Extended Mathematical Exploration of 28/40
Let's explore various mathematical operations and concepts related to 28/40 and its additive inverse -28/40.
Basic Operations and Properties
- Square of 28/40: 0.49
- Cube of 28/40: 0.343
- Square root of |28/40|: 0.83666002653408
- Reciprocal of 28/40: 1.4285714285714
- Double of 28/40: 1.4
- Half of 28/40: 0.35
- Absolute value of 28/40: 0.7
Trigonometric Functions
- Sine of 28/40: 0.64421768723769
- Cosine of 28/40: 0.76484218728449
- Tangent of 28/40: 0.84228838046308
Exponential and Logarithmic Functions
- e^28/40: 2.0137527074705
- Natural log of 28/40: -0.35667494393873
Floor and Ceiling Functions
- Floor of 28/40: 0
- Ceiling of 28/40: 1
Interesting Properties and Relationships
- The sum of 28/40 and its additive inverse (-28/40) is always 0.
- The product of 28/40 and its additive inverse is: -784
- The average of 28/40 and its additive inverse is always 0.
- The distance between 28/40 and its additive inverse on a number line is: 56
Applications in Algebra
Consider the equation: x + 28/40 = 0
The solution to this equation is x = -28/40, which is the additive inverse of 28/40.
Graphical Representation
On a coordinate plane:
- The point (28/40, 0) is reflected across the y-axis to (-28/40, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 28/40 and Its Additive Inverse
Consider the alternating series: 28/40 + (-28/40) + 28/40 + (-28/40) + ...
The sum of this series oscillates between 0 and 28/40, never converging unless 28/40 is 0.
In Number Theory
For integer values:
- If 28/40 is even, its additive inverse is also even.
- If 28/40 is odd, its additive inverse is also odd.
- The sum of the digits of 28/40 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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