Mathematics
Grade 5
15 min
Multiply three numbers up to 3 digits each
Multiply three numbers up to 3 digits each
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1
Introduction & Learning Objectives
Learning Objectives
Recall basic multiplication facts accurately and efficiently.
Apply the standard algorithm to multiply a 3-digit number by a 1-digit number.
Apply the standard algorithm to multiply a 3-digit number by a 2-digit number.
Apply the standard algorithm to multiply a 3-digit number by a 3-digit number.
Utilize the Associative Property of Multiplication to group factors effectively.
Multiply three numbers, each up to 3 digits, using a two-step process.
Solve real-world problems involving the multiplication of three numbers.
Ever wondered how many tiny building blocks you'd need to fill a giant box? 📦 It's like multiplying length, width, and height!
In this lesson, you'll learn how to multiply not just two, but three numbers, each up to three...
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Key Concepts & Vocabulary
TermDefinitionExample
MultiplicationA mathematical operation that represents repeated addition of a number to itself.3 x 4 means adding 3 four times: 3 + 3 + 3 + 3 = 12.
FactorsThe numbers that are being multiplied together in a multiplication problem.In 5 x 7 = 35, the numbers 5 and 7 are the factors.
ProductThe result or answer obtained from multiplying two or more numbers.In 5 x 7 = 35, the number 35 is the product.
Partial ProductsThe intermediate products obtained when multiplying multi-digit numbers, which are then added together to find the final product.When multiplying 23 x 4, you might first multiply 3 x 4 (12) and then 20 x 4 (80). 12 and 80 are partial products.
Associative Property of MultiplicationA property that states that the way factors are grouped in a multiplication pr...
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Core Formulas
Associative Property of Multiplication
$(a \times b) \times c = a \times (b \times c)$
When multiplying three or more numbers, you can group them in any order using parentheses, and the final product will remain the same. This means you can multiply any two numbers first, then multiply that result by the third number. This is crucial for multiplying three numbers.
Multi-Digit Multiplication Algorithm (Two Factors)
To multiply two multi-digit numbers:
1. Multiply the top number by each digit of the bottom number, starting from the ones place.
2. For each digit in the bottom number, create a 'partial product.' Remember to add zeros as placeholders when multiplying by tens, hundreds, etc.
3. Add all the partial products together to get the final product.
This rule out...
5 more steps in this tutorial
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Challenging
A large cargo plane can carry 115 crates. Each crate contains 144 boxes of supplies. If an aid organization sends 12 of these planes, fully loaded, to a disaster area, what is the total number of boxes of supplies sent?
A.16,560
B.198,720
C.182,280
D.215,120
Challenging
The total volume of a large rectangular box is 8,000 cubic centimeters. Which of the following could be its dimensions (length, width, and height)?
A.10 cm × 20 cm × 30 cm
B.20 cm × 20 cm × 20 cm
C.15 cm × 25 cm × 30 cm
D.20 cm × 25 cm × 15 cm
Challenging
Company A produces 125 widgets per hour. Company B produces 110 widgets per hour. Both companies operate for 8 hours a day. After 15 days, how many more widgets has Company A produced than Company B?
A.15,000
B.28,200
C.13,200
D.1,800
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