55/64 Additive Inverse :
The additive inverse of 55/64 is -55/64.
This means that when we add 55/64 and -55/64, the result is zero:
55/64 + (-55/64) = 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: 55/64
- Additive inverse: -55/64
To verify: 55/64 + (-55/64) = 0
Extended Mathematical Exploration of 55/64
Let's explore various mathematical operations and concepts related to 55/64 and its additive inverse -55/64.
Basic Operations and Properties
- Square of 55/64: 0.738525390625
- Cube of 55/64: 0.63467025756836
- Square root of |55/64|: 0.92702481088696
- Reciprocal of 55/64: 1.1636363636364
- Double of 55/64: 1.71875
- Half of 55/64: 0.4296875
- Absolute value of 55/64: 0.859375
Trigonometric Functions
- Sine of 55/64: 0.7574346414881
- Cosine of 55/64: 0.65291099230584
- Tangent of 55/64: 1.1600886650922
Exponential and Logarithmic Functions
- e^55/64: 2.3616841797309
- Natural log of 55/64: -0.1515498981272
Floor and Ceiling Functions
- Floor of 55/64: 0
- Ceiling of 55/64: 1
Interesting Properties and Relationships
- The sum of 55/64 and its additive inverse (-55/64) is always 0.
- The product of 55/64 and its additive inverse is: -3025
- The average of 55/64 and its additive inverse is always 0.
- The distance between 55/64 and its additive inverse on a number line is: 110
Applications in Algebra
Consider the equation: x + 55/64 = 0
The solution to this equation is x = -55/64, which is the additive inverse of 55/64.
Graphical Representation
On a coordinate plane:
- The point (55/64, 0) is reflected across the y-axis to (-55/64, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 55/64 and Its Additive Inverse
Consider the alternating series: 55/64 + (-55/64) + 55/64 + (-55/64) + ...
The sum of this series oscillates between 0 and 55/64, never converging unless 55/64 is 0.
In Number Theory
For integer values:
- If 55/64 is even, its additive inverse is also even.
- If 55/64 is odd, its additive inverse is also odd.
- The sum of the digits of 55/64 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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