You can use what you know about multiplying signed numbers to figure out the rules for dividing signed numbers. In multiplication, if one factor is 0, the product will be 0. In division, the divisor cannot be 0. Division by 0 is undefined. A. Use the fact that division and multiplication are inverse operations to complete the number statements in the table. 3 Multiplication 2-4=8 -2-4-8 3 2-(-4)= -8 -2-(-4)= 8 8÷ -8÷ -8÷ 8÷ Related division - = 4 and 8÷4=2 4 and -8 ÷ 4 = -4 and -8 ÷ (-4) = = -4 and 8 ÷ B. Use your results from Step A to complete the table. C. Complete the rules for division of rational numbers. • The quotient of of two rational numbers with different signs is a number. • The quotient of of two rational numbers with the same sign is a number. = -2 Quotients of Rational Numbers Sign of dividend p Sign of divisor q + + + + Check Understanding 1. Kaleb's football team lost 2 yards on each of 3 consecutive plays. Complete the statement to represent the change in position relative to the line of scrimmage after these three plays. How does this example show that the product of a positive number and a negative number is negative? = −2+(-2) + (-2) = 3. Compare the rules for finding the signs of products and quotients. 1. 2. How can you use the equation in Problem 1 to illustrate that the quotient of two negative numbers is positive? Sign of quotient 1 Houghton​