10/18 Additive Inverse :
The additive inverse of 10/18 is -10/18.
This means that when we add 10/18 and -10/18, the result is zero:
10/18 + (-10/18) = 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: 10/18
- Additive inverse: -10/18
To verify: 10/18 + (-10/18) = 0
Extended Mathematical Exploration of 10/18
Let's explore various mathematical operations and concepts related to 10/18 and its additive inverse -10/18.
Basic Operations and Properties
- Square of 10/18: 0.30864197530864
- Cube of 10/18: 0.17146776406036
- Square root of |10/18|: 0.74535599249993
- Reciprocal of 10/18: 1.8
- Double of 10/18: 1.1111111111111
- Half of 10/18: 0.27777777777778
- Absolute value of 10/18: 0.55555555555556
Trigonometric Functions
- Sine of 10/18: 0.52741538577187
- Cosine of 10/18: 0.84960756284953
- Tangent of 10/18: 0.62077529536454
Exponential and Logarithmic Functions
- e^10/18: 1.7429089986335
- Natural log of 10/18: -0.58778666490212
Floor and Ceiling Functions
- Floor of 10/18: 0
- Ceiling of 10/18: 1
Interesting Properties and Relationships
- The sum of 10/18 and its additive inverse (-10/18) is always 0.
- The product of 10/18 and its additive inverse is: -100
- The average of 10/18 and its additive inverse is always 0.
- The distance between 10/18 and its additive inverse on a number line is: 20
Applications in Algebra
Consider the equation: x + 10/18 = 0
The solution to this equation is x = -10/18, which is the additive inverse of 10/18.
Graphical Representation
On a coordinate plane:
- The point (10/18, 0) is reflected across the y-axis to (-10/18, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 10/18 and Its Additive Inverse
Consider the alternating series: 10/18 + (-10/18) + 10/18 + (-10/18) + ...
The sum of this series oscillates between 0 and 10/18, never converging unless 10/18 is 0.
In Number Theory
For integer values:
- If 10/18 is even, its additive inverse is also even.
- If 10/18 is odd, its additive inverse is also odd.
- The sum of the digits of 10/18 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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