34/46 Additive Inverse :
The additive inverse of 34/46 is -34/46.
This means that when we add 34/46 and -34/46, the result is zero:
34/46 + (-34/46) = 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: 34/46
- Additive inverse: -34/46
To verify: 34/46 + (-34/46) = 0
Extended Mathematical Exploration of 34/46
Let's explore various mathematical operations and concepts related to 34/46 and its additive inverse -34/46.
Basic Operations and Properties
- Square of 34/46: 0.54631379962193
- Cube of 34/46: 0.40379715624229
- Square root of |34/46|: 0.8597269536211
- Reciprocal of 34/46: 1.3529411764706
- Double of 34/46: 1.4782608695652
- Half of 34/46: 0.3695652173913
- Absolute value of 34/46: 0.73913043478261
Trigonometric Functions
- Sine of 34/46: 0.67364551020701
- Cosine of 34/46: 0.73905461677601
- Tangent of 34/46: 0.91149624793045
Exponential and Logarithmic Functions
- e^34/46: 2.0941137540576
- Natural log of 34/46: -0.30228087187293
Floor and Ceiling Functions
- Floor of 34/46: 0
- Ceiling of 34/46: 1
Interesting Properties and Relationships
- The sum of 34/46 and its additive inverse (-34/46) is always 0.
- The product of 34/46 and its additive inverse is: -1156
- The average of 34/46 and its additive inverse is always 0.
- The distance between 34/46 and its additive inverse on a number line is: 68
Applications in Algebra
Consider the equation: x + 34/46 = 0
The solution to this equation is x = -34/46, which is the additive inverse of 34/46.
Graphical Representation
On a coordinate plane:
- The point (34/46, 0) is reflected across the y-axis to (-34/46, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 34/46 and Its Additive Inverse
Consider the alternating series: 34/46 + (-34/46) + 34/46 + (-34/46) + ...
The sum of this series oscillates between 0 and 34/46, never converging unless 34/46 is 0.
In Number Theory
For integer values:
- If 34/46 is even, its additive inverse is also even.
- If 34/46 is odd, its additive inverse is also odd.
- The sum of the digits of 34/46 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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