Write rules for using absolute value to compare two integers. Be sure to take all of the possible combinations into account.
To compare two integers using the absolute value, you can follow these rules:
1. If both integers are positive, compare them directly. The integer with the greater numerical value is larger.
2. If both integers are negative, compare them directly. The integer with the lesser numerical value is larger.
3. If one integer is positive and the other is negative, compare their absolute values. The integer with the larger absolute value is larger.
Here's an explanation of the process:
Step 1: Check the signs of the integers.
- If both integers are positive, move to Step 2.
- If both integers are negative, move to Step 2.
- If one integer is positive and the other is negative, move to Step 3.
Step 2: Compare the integers directly.
- If the first integer is larger than the second integer, then the first integer is greater.
- If the second integer is larger than the first integer, then the second integer is greater.
- If both integers are equal, then they are the same.
Step 3: Compare the absolute values of the integers.
- Take the absolute value (ignoring the signs) for both integers.
- If the absolute value of the first integer is larger than the absolute value of the second integer, then the first integer is greater.
- If the absolute value of the second integer is larger than the absolute value of the first integer, then the second integer is greater.
- If both absolute values are equal, then they are the same.
By following these rules, you can compare any two integers using absolute values.