Mathematics Grade 5 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 the key information and numbers in word problems involving multiplication. Determine when a word problem requires multiplying three or more numbers. Apply the associative property of multiplication to group numbers for easier calculation. Solve multi-step word problems by multiplying three or more whole numbers. Interpret the product in the context of the word problem. Formulate a multiplication equation to represent a given word problem. Ever wonder how many cookies you'd need for a huge party if each guest eats a certain number, and you have many trays? 🍪 Let's find out how to multiply more than two numbers to solve real-life puzzles! In this lesson, you'll learn how to tackle word problems that require multiplying three or mor...
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Key Concepts & Vocabulary

TermDefinitionExample FactorA number that is multiplied by another number to find a product.In $2 \times 3 \times 4 = 24$, the numbers 2, 3, and 4 are factors. ProductThe result of multiplication.In $2 \times 3 \times 4 = 24$, the number 24 is the product. Word ProblemA mathematical problem presented in a story or real-life context, requiring you to read and understand the situation.If a baker makes 3 batches of cookies, with 4 rows in each batch, and 5 cookies in each row, how many cookies are there? Associative Property of MultiplicationThe way factors are grouped in a multiplication problem does not change the product.$(2 \times 3) \times 4 = 6 \times 4 = 24$ is the same as $2 \times (3 \times 4) = 2 \times 12 = 24$. Commutative Property of MultiplicationThe order of factors in a multi...
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Core Formulas

Associative Property of Multiplication $(a \times b) \times c = a \times (b \times c)$ This rule allows you to group numbers in any way when multiplying three or more numbers. You can multiply any two numbers first, then multiply that result by the next number. This can make calculations easier, especially for mental math. Commutative Property of Multiplication $a \times b \times c = c \times a \times b$ This rule means you can multiply numbers in any order without changing the final product. You can rearrange the factors to make the multiplication simpler or to group numbers that are easier to multiply together. General Multiplication Rule for Multiple Factors To find the product of three or more numbers, multiply any two numbers first, then multiply that result by th...

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Sample Practice Questions

Challenging
An orchard has 12 rows of apple trees, with 10 trees in each row. Each tree is expected to produce 8 bags of apples. If squirrels eat the apples from 2 full trees before they can be harvested, how many bags of apples will be harvested?
A.960 bags
B.944 bags
C.120 bags
D.800 bags
Challenging
A large rectangular prism is built from small cubes. The prism is 8 cubes long, 5 cubes wide, and 4 cubes high. If each small cube costs $2, what is the total cost to build the entire prism?
A.$320
B.$160
C.$34
D.$80
Challenging
Company A packs 6 trucks. Each truck holds 8 pallets, and each pallet holds 20 boxes. Company B packs 5 trucks. Each truck holds 12 pallets, and each pallet holds 15 boxes. What is the difference in the total number of boxes packed by the two companies?
A.30 boxes
B.60 boxes
C.90 boxes
D.The companies packed the same amount.

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