Question

true or false. you use the same rules for dividing integers as you do for multiplying integers.

Explanation:

Step1: Recall integer operations rules

For multiplying integers: The product of two integers with the same sign is positive, and with different signs is negative. For example, \(2\times3 = 6\), \((-2)\times(-3)=6\), \(2\times(-3)= - 6\), \((-2)\times3=-6\).

For dividing integers: The quotient of two integers with the same sign is positive, and with different signs is negative. For example, \(\frac{6}{2}=3\), \(\frac{-6}{-2}=3\), \(\frac{6}{-2}=-3\), \(\frac{-6}{2}=-3\). Also, the absolute value of the quotient is the absolute value of the dividend divided by the absolute value of the divisor (when the divisor is non - zero), just like in multiplication the absolute value of the product is the product of the absolute values.

Step2: Compare the rules

The sign rules (same sign gives positive result, different sign gives negative result) for multiplying and dividing integers are the same. And the way we handle the absolute values (multiplying or dividing them) follows the basic arithmetic of positive numbers. So the statement "You use the same rules for dividing integers as you do for multiplying integers" is true.

Answer:

True