9/14 Additive Inverse :
The additive inverse of 9/14 is -9/14.
This means that when we add 9/14 and -9/14, the result is zero:
9/14 + (-9/14) = 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: 9/14
- Additive inverse: -9/14
To verify: 9/14 + (-9/14) = 0
Extended Mathematical Exploration of 9/14
Let's explore various mathematical operations and concepts related to 9/14 and its additive inverse -9/14.
Basic Operations and Properties
- Square of 9/14: 0.41326530612245
- Cube of 9/14: 0.26567055393586
- Square root of |9/14|: 0.80178372573727
- Reciprocal of 9/14: 1.5555555555556
- Double of 9/14: 1.2857142857143
- Half of 9/14: 0.32142857142857
- Absolute value of 9/14: 0.64285714285714
Trigonometric Functions
- Sine of 9/14: 0.59948470287906
- Cosine of 9/14: 0.80038621365814
- Tangent of 9/14: 0.74899428881857
Exponential and Logarithmic Functions
- e^9/14: 1.9019071442186
- Natural log of 9/14: -0.44183275227904
Floor and Ceiling Functions
- Floor of 9/14: 0
- Ceiling of 9/14: 1
Interesting Properties and Relationships
- The sum of 9/14 and its additive inverse (-9/14) is always 0.
- The product of 9/14 and its additive inverse is: -81
- The average of 9/14 and its additive inverse is always 0.
- The distance between 9/14 and its additive inverse on a number line is: 18
Applications in Algebra
Consider the equation: x + 9/14 = 0
The solution to this equation is x = -9/14, which is the additive inverse of 9/14.
Graphical Representation
On a coordinate plane:
- The point (9/14, 0) is reflected across the y-axis to (-9/14, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 9/14 and Its Additive Inverse
Consider the alternating series: 9/14 + (-9/14) + 9/14 + (-9/14) + ...
The sum of this series oscillates between 0 and 9/14, never converging unless 9/14 is 0.
In Number Theory
For integer values:
- If 9/14 is even, its additive inverse is also even.
- If 9/14 is odd, its additive inverse is also odd.
- The sum of the digits of 9/14 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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