34/48 Additive Inverse :
The additive inverse of 34/48 is -34/48.
This means that when we add 34/48 and -34/48, the result is zero:
34/48 + (-34/48) = 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: 34/48
- Additive inverse: -34/48
To verify: 34/48 + (-34/48) = 0
Extended Mathematical Exploration of 34/48
Let's explore various mathematical operations and concepts related to 34/48 and its additive inverse -34/48.
Basic Operations and Properties
- Square of 34/48: 0.50173611111111
- Cube of 34/48: 0.35539641203704
- Square root of |34/48|: 0.84162541153017
- Reciprocal of 34/48: 1.4117647058824
- Double of 34/48: 1.4166666666667
- Half of 34/48: 0.35416666666667
- Absolute value of 34/48: 0.70833333333333
Trigonometric Functions
- Sine of 34/48: 0.65056892982224
- Cosine of 34/48: 0.75944721182578
- Tangent of 34/48: 0.85663482555714
Exponential and Logarithmic Functions
- e^34/48: 2.0306040966347
- Natural log of 34/48: -0.34484048629173
Floor and Ceiling Functions
- Floor of 34/48: 0
- Ceiling of 34/48: 1
Interesting Properties and Relationships
- The sum of 34/48 and its additive inverse (-34/48) is always 0.
- The product of 34/48 and its additive inverse is: -1156
- The average of 34/48 and its additive inverse is always 0.
- The distance between 34/48 and its additive inverse on a number line is: 68
Applications in Algebra
Consider the equation: x + 34/48 = 0
The solution to this equation is x = -34/48, which is the additive inverse of 34/48.
Graphical Representation
On a coordinate plane:
- The point (34/48, 0) is reflected across the y-axis to (-34/48, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 34/48 and Its Additive Inverse
Consider the alternating series: 34/48 + (-34/48) + 34/48 + (-34/48) + ...
The sum of this series oscillates between 0 and 34/48, never converging unless 34/48 is 0.
In Number Theory
For integer values:
- If 34/48 is even, its additive inverse is also even.
- If 34/48 is odd, its additive inverse is also odd.
- The sum of the digits of 34/48 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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