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Relating Multiplication and Division M4A1 Students will represent and understand mathematical relationships . Essential Question: How can we use our understanding of multiplication to assist us with the process of division? Remember! Fact Families and Inverse Operations? 20 If 5 X 4 = 20, then, 20 ÷ 5 = 4 4 5 Multiplication Answers the question-- How many total? Look at this example: Mrs. Evans went to the grocery store and got four bags of groceries. If there are 6 items in each bag, how many total items does she have? 4 X 6 = 24 Division Answers the question- How many in each? Take another look at our example: Here is how the problem would change: Mrs. Evans went to the grocery store and bought 24 items. She has four bags. How many items would evenly be in each bag? 24 ÷ 4 = 6 Before we look any further, let’s learn our division vocabulary! Quotient Divisor Indicates the size of each group. (I’m outside in the sun!) 9 5 45 The result of a division problem. (I’m outside in the tent!) Dividend A number that is divided by another number. I’m BIG!!! (I’m cozy in my den.) Here it is again! 45 ÷ 9 = 5 Dividend A number that is divided by another number. Divisor Indicates the size of each group. Quotient The result of a division problem. 49 ÷ 7 = 7 49 50 ÷ 10 = 10 50 63 ÷ 9 = 9 63 72 ÷ 9 = 9 72