2.4 Additive Inverse :
The additive inverse of 2.4 is -2.4.
This means that when we add 2.4 and -2.4, the result is zero:
2.4 + (-2.4) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 2.4
- Additive inverse: -2.4
To verify: 2.4 + (-2.4) = 0
Extended Mathematical Exploration of 2.4
Let's explore various mathematical operations and concepts related to 2.4 and its additive inverse -2.4.
Basic Operations and Properties
- Square of 2.4: 5.76
- Cube of 2.4: 13.824
- Square root of |2.4|: 1.549193338483
- Reciprocal of 2.4: 0.41666666666667
- Double of 2.4: 4.8
- Half of 2.4: 1.2
- Absolute value of 2.4: 2.4
Trigonometric Functions
- Sine of 2.4: 0.67546318055115
- Cosine of 2.4: -0.73739371554125
- Tangent of 2.4: -0.91601428967341
Exponential and Logarithmic Functions
- e^2.4: 11.023176380642
- Natural log of 2.4: 0.8754687373539
Floor and Ceiling Functions
- Floor of 2.4: 2
- Ceiling of 2.4: 3
Interesting Properties and Relationships
- The sum of 2.4 and its additive inverse (-2.4) is always 0.
- The product of 2.4 and its additive inverse is: -5.76
- The average of 2.4 and its additive inverse is always 0.
- The distance between 2.4 and its additive inverse on a number line is: 4.8
Applications in Algebra
Consider the equation: x + 2.4 = 0
The solution to this equation is x = -2.4, which is the additive inverse of 2.4.
Graphical Representation
On a coordinate plane:
- The point (2.4, 0) is reflected across the y-axis to (-2.4, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 2.4 and Its Additive Inverse
Consider the alternating series: 2.4 + (-2.4) + 2.4 + (-2.4) + ...
The sum of this series oscillates between 0 and 2.4, never converging unless 2.4 is 0.
In Number Theory
For integer values:
- If 2.4 is even, its additive inverse is also even.
- If 2.4 is odd, its additive inverse is also odd.
- The sum of the digits of 2.4 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: