Question

Using the integers -5 to 5, at most one time each, write an expression that will have the greatest absolute value.

Answer 1

To find the expression that will have the greatest absolute value using the integers -5 to 5, we need to consider the rules for addition and subtraction.

Step-by-step explanation:

To find the expression that will have the greatest absolute value using the integers -5 to 5, we need to consider the rules for addition and subtraction:

1. The sum of two positive numbers is positive.
2. The sum of two negative numbers is negative.
3. The sum of a positive and a negative number has the sign of the larger number.
4. In subtraction, change the sign of the subtracted number and then follow the addition rules.

Using these rules, the expression that will have the greatest absolute value is:

-5 + 4 = -1

This expression has the largest absolute value because it combines a negative and a positive number, and the negative number (-5) has a larger absolute value than the positive number (4).