Describe the connection between division and multiplication. In multiplication, you multiply two numbers to determine the product. For example, 2 x 3 = 6. In division, the dividend is divided by the divisor to determine the quotient. For example, 6 / 3 = 2. Therefore, the product of multiplication is the dividend of the division problem.
Practice division problems for which the dividend and the divisor are the same. Whenever the dividend and the divisor have the same value, the quotient is always 1. For example, 6 / 6 = 1 and 4 / 4 = 1.
State the rules for using zero as a dividend or as a divisor. If the dividend is zero, then the quotient is zero. For example, 0 / 2 = 0. If the divisor is zero, then the problem is undefined. For example, 2 / 0 is undefined.
Do problems that show how adding a zero to the dividend can affect the value of the quotient. For example, 3 / 3 =1, 30 / 3 = 10, and 300 / 3 = 100. When a zero is added to the dividend and the value of the divisor is the same, a zero also is added to the quotient.
Do problems that show how adding a zero to the divisor affects the quotient. For example, 300 / 3 = 100, 300 / 30 = 10, and 300 / 300 = 1. When a zero is added to the divisor and the value of the dividend is the same, then a zero is removed from the quotient.
Relate the patterns of multiplication to those in division. For example, the five times tables alternate between a product with a zero as the last digit and a five as the last digit, such as: 5 x 2 = 10 and 5 x 3 = 15. If you use the products as dividends and one of the other numbers as divisors, then you will receive five as the quotient. For example, 10 / 2 = 5 and 15 / 3 = 5.