13/24 Additive Inverse :
The additive inverse of 13/24 is -13/24.
This means that when we add 13/24 and -13/24, the result is zero:
13/24 + (-13/24) = 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: 13/24
- Additive inverse: -13/24
To verify: 13/24 + (-13/24) = 0
Extended Mathematical Exploration of 13/24
Let's explore various mathematical operations and concepts related to 13/24 and its additive inverse -13/24.
Basic Operations and Properties
- Square of 13/24: 0.29340277777778
- Cube of 13/24: 0.15892650462963
- Square root of |13/24|: 0.73598007219399
- Reciprocal of 13/24: 1.8461538461538
- Double of 13/24: 1.0833333333333
- Half of 13/24: 0.27083333333333
- Absolute value of 13/24: 0.54166666666667
Trigonometric Functions
- Sine of 13/24: 0.51556479138264
- Cosine of 13/24: 0.85685059717933
- Tangent of 13/24: 0.60169741735587
Exponential and Logarithmic Functions
- e^13/24: 1.7188692582893
- Natural log of 13/24: -0.61310447288641
Floor and Ceiling Functions
- Floor of 13/24: 0
- Ceiling of 13/24: 1
Interesting Properties and Relationships
- The sum of 13/24 and its additive inverse (-13/24) is always 0.
- The product of 13/24 and its additive inverse is: -169
- The average of 13/24 and its additive inverse is always 0.
- The distance between 13/24 and its additive inverse on a number line is: 26
Applications in Algebra
Consider the equation: x + 13/24 = 0
The solution to this equation is x = -13/24, which is the additive inverse of 13/24.
Graphical Representation
On a coordinate plane:
- The point (13/24, 0) is reflected across the y-axis to (-13/24, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 13/24 and Its Additive Inverse
Consider the alternating series: 13/24 + (-13/24) + 13/24 + (-13/24) + ...
The sum of this series oscillates between 0 and 13/24, never converging unless 13/24 is 0.
In Number Theory
For integer values:
- If 13/24 is even, its additive inverse is also even.
- If 13/24 is odd, its additive inverse is also odd.
- The sum of the digits of 13/24 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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