33/46 Additive Inverse :
The additive inverse of 33/46 is -33/46.
This means that when we add 33/46 and -33/46, the result is zero:
33/46 + (-33/46) = 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: 33/46
- Additive inverse: -33/46
To verify: 33/46 + (-33/46) = 0
Extended Mathematical Exploration of 33/46
Let's explore various mathematical operations and concepts related to 33/46 and its additive inverse -33/46.
Basic Operations and Properties
- Square of 33/46: 0.51465028355388
- Cube of 33/46: 0.36920563820169
- Square root of |33/46|: 0.84698955385992
- Reciprocal of 33/46: 1.3939393939394
- Double of 33/46: 1.4347826086957
- Half of 33/46: 0.35869565217391
- Absolute value of 33/46: 0.71739130434783
Trigonometric Functions
- Sine of 33/46: 0.65742119820737
- Cosine of 33/46: 0.75352330298909
- Tangent of 33/46: 0.87246299563596
Exponential and Logarithmic Functions
- e^33/46: 2.0490808040948
- Natural log of 33/46: -0.33213383502261
Floor and Ceiling Functions
- Floor of 33/46: 0
- Ceiling of 33/46: 1
Interesting Properties and Relationships
- The sum of 33/46 and its additive inverse (-33/46) is always 0.
- The product of 33/46 and its additive inverse is: -1089
- The average of 33/46 and its additive inverse is always 0.
- The distance between 33/46 and its additive inverse on a number line is: 66
Applications in Algebra
Consider the equation: x + 33/46 = 0
The solution to this equation is x = -33/46, which is the additive inverse of 33/46.
Graphical Representation
On a coordinate plane:
- The point (33/46, 0) is reflected across the y-axis to (-33/46, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 33/46 and Its Additive Inverse
Consider the alternating series: 33/46 + (-33/46) + 33/46 + (-33/46) + ...
The sum of this series oscillates between 0 and 33/46, never converging unless 33/46 is 0.
In Number Theory
For integer values:
- If 33/46 is even, its additive inverse is also even.
- If 33/46 is odd, its additive inverse is also odd.
- The sum of the digits of 33/46 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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