Mathematics Grade 6 15 min

Multiply three or more numbers: word problems

Multiply three or more numbers: word problems

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Introduction & Learning Objectives

Learning Objectives Identify situations in word problems that require multiplying three or more numbers. Translate word problems involving multiple quantities into mathematical expressions. Apply the associative property of multiplication to simplify calculations. Solve multi-step word problems involving multiplication of three or more numbers. Interpret the product in the context of the original word problem. Check the reasonableness of answers to multiplication word problems. Ever wonder how many total items you'd have if you had several groups, each with many smaller groups, and each of those had a certain number of items? 📦 Let's unlock the power of multiplying three or more numbers! In this lesson, you'll learn how to tackle word problems that ask you t...
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Key Concepts & Vocabulary

TermDefinitionExample FactorA number that is multiplied by another number to get a product.In $2 \times 3 \times 4$, the numbers 2, 3, and 4 are factors. ProductThe result obtained when two or more numbers are multiplied together.The product of $2 \times 3 \times 4$ is 24. Word ProblemA mathematical problem presented in a narrative or story form, requiring you to read, understand, and translate it into numerical operations.If a box has 5 rows of 6 candies, and you have 3 such boxes, how many candies in total? Multi-step ProblemA problem that requires more than one mathematical operation (like addition, subtraction, multiplication, or division) to solve.Finding the total number of items in several groups, where each group has items arranged in rows and columns. Associative Property of Mult...
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Core Formulas

Associative Property of Multiplication $(a \times b) \times c = a \times (b \times c)$ This rule tells us that when you multiply three or more numbers, you can group them in any way you like, and the final product will always be the same. This can help you choose the easiest order to multiply numbers in a word problem. Steps for Solving Word Problems 1. Read and Understand. 2. Plan the operations. 3. Execute the plan. 4. Check your answer. This systematic approach helps you break down complex word problems into manageable steps. First, figure out what the problem is asking. Next, decide which operations (like multiplication) you need to use. Then, do the calculations. Finally, make sure your answer makes sense in the context of the problem.

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Sample Practice Questions

Challenging
A library has 4 floors. Each floor has 10 large bookshelves. Each bookshelf has 8 shelves. If each shelf can hold 25 books, but 3 shelves on each bookshelf are empty for a new collection, how many books are currently in the library?
A.8000 books
B.5000 books
C.3000 books
D.6000 books
Challenging
A printing press runs for 8 hours a day, 5 days a week. It prints 50 sheets of paper every minute. Each sheet contains 12 trading cards. How many trading cards are printed in one week?
A.240,000 cards
B.2,400 cards
C.1,200,000 cards
D.1,440,000 cards
Challenging
A company sells three gift basket models. The table shows the contents. If they sell 20 of each model, what is the total number of fruit items sold? | Model | # of Cheeses | # of Fruit Items | # of Crackers | |---|---|---|---| | A | 2 | 5 | 10 | | B | 3 | 4 | 12 | | C | 1 | 6 | 15 |
A.300 fruit items
B.200 fruit items
C.15 fruit items
D.260 fruit items

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