Mathematics
Grade 6
15 min
Multiply three or more numbers: word problems
Multiply three or more numbers: word problems
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1
Introduction & Learning Objectives
Learning Objectives
Identify situations in word problems that require multiplying three or more numbers.
Translate word problems into numerical multiplication expressions involving three or more factors.
Apply the associative property of multiplication to simplify calculations.
Accurately calculate the product of three or more numbers.
Interpret the product in the context of the original word problem.
Solve multi-step word problems that include multiplying three or more numbers.
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In this lesson, you'll learn how to tackle word problems that require multiplying three or more numbers. Understanding these problems will he...
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Key Concepts & Vocabulary
TermDefinitionExample
ProductThe result obtained when two or more numbers are multiplied together.In $2 \times 3 \times 4 = 24$, the number 24 is the product.
FactorA number that is multiplied by another number to get a product.In $2 \times 3 \times 4 = 24$, the numbers 2, 3, and 4 are factors.
Word ProblemA mathematical problem presented in a story or real-world context, requiring you to identify the numbers and operations needed to solve it.If there are 3 rows of 5 chairs, and 2 such sections, how many chairs total?
Associative Property of MultiplicationThis property states that when multiplying three or more numbers, the way the factors are grouped does not change the product.$(2 \times 3) \times 4 = 6 \times 4 = 24$, and $2 \times (3 \times 4) = 2 \times 12 = 24$. Both give the same p...
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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 choose, and the final product will always be the same. This can be very helpful for simplifying calculations or making them easier to do mentally.
Strategy for Solving Word Problems
Read $\rightarrow$ Plan $\rightarrow$ Solve $\rightarrow$ Check
1. **Read**: Understand the problem, identify knowns and unknowns. 2. **Plan**: Decide which operations are needed and in what order. 3. **Solve**: Perform the calculations. 4. **Check**: Review your answer for reasonableness and accuracy, and make sure it answers the original question.
Multiplication of Multiple Factors
$a \times b \times c \ti...
5 more steps in this tutorial
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Challenging
A printing press produces 2,400 posters. The posters are bundled into packs of 10. These packs are then placed into boxes, with 8 packs in each box. How many boxes are needed for all the posters?
A.240 boxes
B.30 boxes
C.1920 boxes
D.80 boxes
Challenging
A machine fills 5 bottles every minute. The machine runs for 6 hours a day for 4 days. How many total bottles will be filled?
A.120 bottles
B.1,440 bottles
C.7,200 bottles
D.180 bottles
Challenging
A concert hall has 20 rows in the main section. Each row has 30 seats. For a popular concert, 50% of the seats are reserved for VIPs. How many VIP seats are there?
A.300 seats
B.600 seats
C.150 seats
D.50 seats
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