2/10 Additive Inverse :
The additive inverse of 2/10 is -2/10.
This means that when we add 2/10 and -2/10, the result is zero:
2/10 + (-2/10) = 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: 2/10
- Additive inverse: -2/10
To verify: 2/10 + (-2/10) = 0
Extended Mathematical Exploration of 2/10
Let's explore various mathematical operations and concepts related to 2/10 and its additive inverse -2/10.
Basic Operations and Properties
- Square of 2/10: 0.04
- Cube of 2/10: 0.008
- Square root of |2/10|: 0.44721359549996
- Reciprocal of 2/10: 5
- Double of 2/10: 0.4
- Half of 2/10: 0.1
- Absolute value of 2/10: 0.2
Trigonometric Functions
- Sine of 2/10: 0.19866933079506
- Cosine of 2/10: 0.98006657784124
- Tangent of 2/10: 0.20271003550867
Exponential and Logarithmic Functions
- e^2/10: 1.2214027581602
- Natural log of 2/10: -1.6094379124341
Floor and Ceiling Functions
- Floor of 2/10: 0
- Ceiling of 2/10: 1
Interesting Properties and Relationships
- The sum of 2/10 and its additive inverse (-2/10) is always 0.
- The product of 2/10 and its additive inverse is: -4
- The average of 2/10 and its additive inverse is always 0.
- The distance between 2/10 and its additive inverse on a number line is: 4
Applications in Algebra
Consider the equation: x + 2/10 = 0
The solution to this equation is x = -2/10, which is the additive inverse of 2/10.
Graphical Representation
On a coordinate plane:
- The point (2/10, 0) is reflected across the y-axis to (-2/10, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 2/10 and Its Additive Inverse
Consider the alternating series: 2/10 + (-2/10) + 2/10 + (-2/10) + ...
The sum of this series oscillates between 0 and 2/10, never converging unless 2/10 is 0.
In Number Theory
For integer values:
- If 2/10 is even, its additive inverse is also even.
- If 2/10 is odd, its additive inverse is also odd.
- The sum of the digits of 2/10 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
Enter a number (whole number, decimal, or fraction) to find its additive inverse: