13/16 Additive Inverse :
The additive inverse of 13/16 is -13/16.
This means that when we add 13/16 and -13/16, the result is zero:
13/16 + (-13/16) = 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: 13/16
- Additive inverse: -13/16
To verify: 13/16 + (-13/16) = 0
Extended Mathematical Exploration of 13/16
Let's explore various mathematical operations and concepts related to 13/16 and its additive inverse -13/16.
Basic Operations and Properties
- Square of 13/16: 0.66015625
- Cube of 13/16: 0.536376953125
- Square root of |13/16|: 0.901387818866
- Reciprocal of 13/16: 1.2307692307692
- Double of 13/16: 1.625
- Half of 13/16: 0.40625
- Absolute value of 13/16: 0.8125
Trigonometric Functions
- Sine of 13/16: 0.72600865526071
- Cosine of 13/16: 0.6876855622205
- Tangent of 13/16: 1.0557276394119
Exponential and Logarithmic Functions
- e^13/16: 2.2535347872132
- Natural log of 13/16: -0.20763936477824
Floor and Ceiling Functions
- Floor of 13/16: 0
- Ceiling of 13/16: 1
Interesting Properties and Relationships
- The sum of 13/16 and its additive inverse (-13/16) is always 0.
- The product of 13/16 and its additive inverse is: -169
- The average of 13/16 and its additive inverse is always 0.
- The distance between 13/16 and its additive inverse on a number line is: 26
Applications in Algebra
Consider the equation: x + 13/16 = 0
The solution to this equation is x = -13/16, which is the additive inverse of 13/16.
Graphical Representation
On a coordinate plane:
- The point (13/16, 0) is reflected across the y-axis to (-13/16, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13/16 and Its Additive Inverse
Consider the alternating series: 13/16 + (-13/16) + 13/16 + (-13/16) + ...
The sum of this series oscillates between 0 and 13/16, never converging unless 13/16 is 0.
In Number Theory
For integer values:
- If 13/16 is even, its additive inverse is also even.
- If 13/16 is odd, its additive inverse is also odd.
- The sum of the digits of 13/16 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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