The Min or Max Calculator is a handy tool designed to quickly determine the minimum or maximum value between two given numbers. It simplifies the process of comparing two values and identifying which one is smaller or larger.
Formula of Min or Max Calculator
The formulas used by the Min or Max Calculator are as follows:
min(a, b) = (a + b - |a - b|) / 2 max(a, b) = (a + b + |a - b|) / 2
These formulas provide a systematic approach to determining the minimum and maximum values between two given numbers. The use of absolute values ensures accuracy, regardless of the order of the numbers.
In simpler terms:
- min(a, b) returns the smaller value between a and b.
- max(a, b) returns the larger value between a and b.
General Terms Table
| Number 1 | Number 2 | Minimum | Maximum |
|---|---|---|---|
| 5 | 3 | 3 | 5 |
| -2 | 7 | -2 | 7 |
| 10 | 10 | 10 | 10 |
| 0.5 | -0.2 | -0.2 | 0.5 |
Example of Min or Max Calculator
Let’s consider an example to illustrate how the Min or Max Calculator works:
Suppose we have two numbers, a = 8 and b = 12. Using the formulas mentioned earlier:
For min(a, b):
min(8, 12) = (8 + 12 - |8 - 12|) / 2 = (8 + 12 - |-4|) / 2 = (8 + 12 - 4) / 2 = 16 / 2 = 8
So, the minimum value between 8 and 12 is 8.
For max(a, b):
max(8, 12) = (8 + 12 + |8 - 12|) / 2 = (8 + 12 + 4) / 2 = 24 / 2 = 12
Therefore, the maximum value between 8 and 12 is 12.
Most Common FAQs
A: Simply input the two numbers you want to compare into the designated fields, then click the “Calculate” button to obtain the minimum and maximum values.
A: Yes, the calculator can handle negative numbers without any issues. It applies the formulas accordingly to determine the minimum and maximum values.
A: Absolutely! Whether you’re working with integers, decimals, fractions, or even irrational numbers, the calculator will accurately compute the minimum and maximum values.