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Types of Multiplication and Division Problems Equal Groups – whole unknown (multiplication) Mark had 4 bags of apples. There are six apples in each bag. How many apples does Mark have all together? If apples cost 7cents each, how much did Jill have to pay for 5 apples?(rate) Peter walked for 3 hours at 4 miles per hour. How far did he walk? (rate) 1

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Types of Multiplication and Division Problems Equal Groups: Size of groups unknown(Partition division) Mark has 24 apples. He wants to share them equally among his 4 friends. How many apples will each friend receive? Jill paid 35cents for five apples. What was the cost of one apple? (rate) Peter walked 12 miles in 3 hours. How many miles per hour (how fast) did he walk?(rate) 2

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Types of Multiplication and Division Problems Equal Groups: Number of Groups Unknown(Measurement Division) Mark has 24 apples. He put them into bags containing 6 apples each. How many bags did Mark use? Jill bought apples at 7 cents apiece. The total cost of her apples was 35 cents. How many apples did Jill buy? Peter walked 12 miles in 3 hours. How many miles per hour did he walk? 3

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Multiplicative Comparison Problems Comparison Product Unknown(Multiplication) Jill picked 6 apples. Mark picked 4 times as many apples as Jill. How many apples did Mark pick? This month Mark saved 5 times as much money as last month. Last month he saved $7.00. How much money did Mark save this month? 4

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Multiplicative Comparison Problems Comparison: multiplier unknown(measurement division) Marked picked 24 apples and Jill picked only 6. How many times as many apples did Mark pick as Jill did? This month Mark saved $35. Last month he saved $7. How many times as much money did he save this month as last? 5

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Remainders in Division You have 30 pieces of candy to share fairly with 7 children. How many pieces of candy will each child receive? Answer: 4 pieces of candy and 2 left over Each jar holds 8 ounces of liquid. If there are 46 ounces in the pitcher, how man jars will that be? Answer: 5 and 6/8 jars

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Remainders in Division The rope is 25 feet long. How many 7 foot jump ropes can be made? Answer: 3 jump ropes The ferry can hold 8 cars. How many trips will it have to make to carry 25 cars across the river? Answer: 4 trips

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Remainders in Division Six children are planning to share a bag of 50 pieces of bubble gum. About how many pieces will each child get? Answer: 8 pieces for each child

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Using Division and Multiplication

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