5/16 Additive Inverse :
The additive inverse of 5/16 is -5/16.
This means that when we add 5/16 and -5/16, the result is zero:
5/16 + (-5/16) = 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: 5/16
- Additive inverse: -5/16
To verify: 5/16 + (-5/16) = 0
Extended Mathematical Exploration of 5/16
Let's explore various mathematical operations and concepts related to 5/16 and its additive inverse -5/16.
Basic Operations and Properties
- Square of 5/16: 0.09765625
- Cube of 5/16: 0.030517578125
- Square root of |5/16|: 0.55901699437495
- Reciprocal of 5/16: 3.2
- Double of 5/16: 0.625
- Half of 5/16: 0.15625
- Absolute value of 5/16: 0.3125
Trigonometric Functions
- Sine of 5/16: 0.30743851458038
- Cosine of 5/16: 0.95156794804817
- Tangent of 5/16: 0.32308624435175
Exponential and Logarithmic Functions
- e^5/16: 1.3668379411738
- Natural log of 5/16: -1.1631508098057
Floor and Ceiling Functions
- Floor of 5/16: 0
- Ceiling of 5/16: 1
Interesting Properties and Relationships
- The sum of 5/16 and its additive inverse (-5/16) is always 0.
- The product of 5/16 and its additive inverse is: -25
- The average of 5/16 and its additive inverse is always 0.
- The distance between 5/16 and its additive inverse on a number line is: 10
Applications in Algebra
Consider the equation: x + 5/16 = 0
The solution to this equation is x = -5/16, which is the additive inverse of 5/16.
Graphical Representation
On a coordinate plane:
- The point (5/16, 0) is reflected across the y-axis to (-5/16, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 5/16 and Its Additive Inverse
Consider the alternating series: 5/16 + (-5/16) + 5/16 + (-5/16) + ...
The sum of this series oscillates between 0 and 5/16, never converging unless 5/16 is 0.
In Number Theory
For integer values:
- If 5/16 is even, its additive inverse is also even.
- If 5/16 is odd, its additive inverse is also odd.
- The sum of the digits of 5/16 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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