42.426 Additive Inverse :
The additive inverse of 42.426 is -42.426.
This means that when we add 42.426 and -42.426, the result is zero:
42.426 + (-42.426) = 0
Additive Inverse of a Decimal Number
For decimal numbers, we simply change the sign of the number:
- Original number: 42.426
- Additive inverse: -42.426
To verify: 42.426 + (-42.426) = 0
Extended Mathematical Exploration of 42.426
Let's explore various mathematical operations and concepts related to 42.426 and its additive inverse -42.426.
Basic Operations and Properties
- Square of 42.426: 1799.965476
- Cube of 42.426: 76365.335284776
- Square root of |42.426|: 6.5135243916024
- Reciprocal of 42.426: 0.023570452081271
- Double of 42.426: 84.852
- Half of 42.426: 21.213
- Absolute value of 42.426: 42.426
Trigonometric Functions
- Sine of 42.426: -0.99989488878131
- Cosine of 42.426: 0.014498668525528
- Tangent of 42.426: -68.964600923235
Exponential and Logarithmic Functions
- e^42.426: 2.6630399966307E+18
- Natural log of 42.426: 3.7477613818502
Floor and Ceiling Functions
- Floor of 42.426: 42
- Ceiling of 42.426: 43
Interesting Properties and Relationships
- The sum of 42.426 and its additive inverse (-42.426) is always 0.
- The product of 42.426 and its additive inverse is: -1799.965476
- The average of 42.426 and its additive inverse is always 0.
- The distance between 42.426 and its additive inverse on a number line is: 84.852
Applications in Algebra
Consider the equation: x + 42.426 = 0
The solution to this equation is x = -42.426, which is the additive inverse of 42.426.
Graphical Representation
On a coordinate plane:
- The point (42.426, 0) is reflected across the y-axis to (-42.426, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 42.426 and Its Additive Inverse
Consider the alternating series: 42.426 + (-42.426) + 42.426 + (-42.426) + ...
The sum of this series oscillates between 0 and 42.426, never converging unless 42.426 is 0.
In Number Theory
For integer values:
- If 42.426 is even, its additive inverse is also even.
- If 42.426 is odd, its additive inverse is also odd.
- The sum of the digits of 42.426 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: