Additive and Multiplicative Word Problems

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What is an additive word problem?

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An additive word problem involves situations where quantities are combined or increased by adding. For example, if you have 3 apples and get 2 more, you have a total of 5 apples.

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What is a multiplicative word problem?

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A multiplicative word problem involves situations where quantities are compared or scaled by multiplying. For example, if you have 4 bags of oranges and each bag has 3 oranges, you have a total of 12 oranges.

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Cody uses 6 oranges for a small glass of juice. How many oranges for a large glass if he uses 8 times as many?

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48 oranges (6 oranges x 8 = 48 oranges). This is a multiplicative problem.

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A food truck sold 4 hot dogs. If they sold 8 times as many hamburgers, how many hamburgers did they sell?

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32 hamburgers (4 hot dogs x 8 = 32 hamburgers). This is a multiplicative problem.

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The Veg-Grill store has 30 diet sodas, which is 6 more than regular sodas. How many regular sodas do they have?

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24 regular sodas (30 diet sodas - 6 = 24 regular sodas). This is an additive problem.

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Nobel collected 6 cans on Saturday and 4 more on Sunday. How many cans did he collect on Sunday?

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10 cans (6 cans + 4 cans = 10 cans). This is an additive problem.

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Glitterstone Jewelry Company used 7 emeralds for a bracelet. How many for a necklace if it takes 9 more?

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16 emeralds (7 emeralds + 9 = 16 emeralds). This is an additive problem.

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What is the key difference between additive and multiplicative problems?

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Additive problems involve combining quantities, while multiplicative problems involve scaling or comparing quantities.

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If a recipe calls for 2 cups of flour and you want to make 3 times the recipe, how much flour do you need?

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6 cups of flour (2 cups x 3 = 6 cups). This is a multiplicative problem.

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If you have 10 candies and you buy 5 more, how many do you have in total?

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15 candies (10 candies + 5 candies = 15 candies). This is an additive problem.