43/48 Additive Inverse :
The additive inverse of 43/48 is -43/48.
This means that when we add 43/48 and -43/48, the result is zero:
43/48 + (-43/48) = 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: 43/48
- Additive inverse: -43/48
To verify: 43/48 + (-43/48) = 0
Extended Mathematical Exploration of 43/48
Let's explore various mathematical operations and concepts related to 43/48 and its additive inverse -43/48.
Basic Operations and Properties
- Square of 43/48: 0.80251736111111
- Cube of 43/48: 0.71892180266204
- Square root of |43/48|: 0.94648472430005
- Reciprocal of 43/48: 1.1162790697674
- Double of 43/48: 1.7916666666667
- Half of 43/48: 0.44791666666667
- Absolute value of 43/48: 0.89583333333333
Trigonometric Functions
- Sine of 43/48: 0.78073007588443
- Cosine of 43/48: 0.62486842503802
- Tangent of 43/48: 1.2494311515851
Exponential and Logarithmic Functions
- e^43/48: 2.449376085959
- Natural log of 43/48: -0.11000089521433
Floor and Ceiling Functions
- Floor of 43/48: 0
- Ceiling of 43/48: 1
Interesting Properties and Relationships
- The sum of 43/48 and its additive inverse (-43/48) is always 0.
- The product of 43/48 and its additive inverse is: -1849
- The average of 43/48 and its additive inverse is always 0.
- The distance between 43/48 and its additive inverse on a number line is: 86
Applications in Algebra
Consider the equation: x + 43/48 = 0
The solution to this equation is x = -43/48, which is the additive inverse of 43/48.
Graphical Representation
On a coordinate plane:
- The point (43/48, 0) is reflected across the y-axis to (-43/48, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 43/48 and Its Additive Inverse
Consider the alternating series: 43/48 + (-43/48) + 43/48 + (-43/48) + ...
The sum of this series oscillates between 0 and 43/48, never converging unless 43/48 is 0.
In Number Theory
For integer values:
- If 43/48 is even, its additive inverse is also even.
- If 43/48 is odd, its additive inverse is also odd.
- The sum of the digits of 43/48 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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