35/48 Additive Inverse :
The additive inverse of 35/48 is -35/48.
This means that when we add 35/48 and -35/48, the result is zero:
35/48 + (-35/48) = 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: 35/48
- Additive inverse: -35/48
To verify: 35/48 + (-35/48) = 0
Extended Mathematical Exploration of 35/48
Let's explore various mathematical operations and concepts related to 35/48 and its additive inverse -35/48.
Basic Operations and Properties
- Square of 35/48: 0.53168402777778
- Cube of 35/48: 0.38768627025463
- Square root of |35/48|: 0.85391256382997
- Reciprocal of 35/48: 1.3714285714286
- Double of 35/48: 1.4583333333333
- Half of 35/48: 0.36458333333333
- Absolute value of 35/48: 0.72916666666667
Trigonometric Functions
- Sine of 35/48: 0.66624842485501
- Cosine of 35/48: 0.74572986823529
- Tangent of 35/48: 0.89341791610363
Exponential and Logarithmic Functions
- e^35/48: 2.0733520941484
- Natural log of 35/48: -0.31585294941848
Floor and Ceiling Functions
- Floor of 35/48: 0
- Ceiling of 35/48: 1
Interesting Properties and Relationships
- The sum of 35/48 and its additive inverse (-35/48) is always 0.
- The product of 35/48 and its additive inverse is: -1225
- The average of 35/48 and its additive inverse is always 0.
- The distance between 35/48 and its additive inverse on a number line is: 70
Applications in Algebra
Consider the equation: x + 35/48 = 0
The solution to this equation is x = -35/48, which is the additive inverse of 35/48.
Graphical Representation
On a coordinate plane:
- The point (35/48, 0) is reflected across the y-axis to (-35/48, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 35/48 and Its Additive Inverse
Consider the alternating series: 35/48 + (-35/48) + 35/48 + (-35/48) + ...
The sum of this series oscillates between 0 and 35/48, never converging unless 35/48 is 0.
In Number Theory
For integer values:
- If 35/48 is even, its additive inverse is also even.
- If 35/48 is odd, its additive inverse is also odd.
- The sum of the digits of 35/48 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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