Mathematics
Grade 3
15 min
Multiply one-digit numbers by two-digit numbers
Multiply one-digit numbers by two-digit numbers
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1
Introduction & Learning Objectives
Learning Objectives
Break apart a two-digit number into tens and ones to make multiplication easier.
Use an area model to visualize and solve multiplication problems.
Apply the distributive property to multiply a one-digit number by a two-digit number.
Calculate partial products and add them together to find a final product.
Solve word problems that require multiplying a one-digit number by a two-digit number.
Explain the strategy they used to find the answer.
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In this lesson, we will learn how to multiply a small number (like 4) by a bigger number (like 12). This is a very useful skill that helps you count large groups of things quickly without having to...
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Key Concepts & Vocabulary
TermDefinitionExample
FactorThe numbers that are being multiplied together in a multiplication problem.In the problem 5 x 14, the numbers 5 and 14 are the factors.
ProductThe answer you get when you multiply factors together.In the problem 5 x 14 = 70, the number 70 is the product.
Place ValueThe value of a digit based on its position in a number. We look at the 'ones' place and the 'tens' place.In the number 36, the 3 is in the tens place and has a value of 30. The 6 is in the ones place and has a value of 6.
Break-Apart StrategyA way to make multiplication easier by breaking a larger number into its place value parts (tens and ones).To solve 4 x 25, you can break 25 into 20 and 5.
Partial ProductsThe smaller products you get when you multiply after using the break-ap...
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Core Formulas
The Break-Apart Rule (Distributive Property)
a \times (b + c) = (a \times b) + (a \times c)
This rule lets you break one of your factors into smaller, easier numbers. You multiply the other factor by each of those small parts and then add the results together.
Multiplying by Tens
a \times (b \times 10) = (a \times b) \times 10
When you multiply a number by a multiple of ten (like 20, 30, 40), you can multiply the first digits and then add a zero to the end. For example, 4 x 20 is the same as 4 x 2 with a zero at the end (80).
4 more steps in this tutorial
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Challenging
The partial products in an area model are 120 and 18. If one of the factors is 6, what is the other factor?
A.20
B.18
C.23
D.12
Challenging
To solve 8 x 35, a student finds the partial products are 240 and 40. They add them together and get an answer of 290. What was their mistake?
A.They multiplied 8 x 3 incorrectly.
B.They multiplied 8 x 5 incorrectly.
C.They added the partial products incorrectly.
D.They broke apart 35 incorrectly.
Challenging
The expression (5 x 60) + (5 x 3) represents the total product for which multiplication problem?
A.5 x 63
B.5 x 603
C.5 x 36
D.5 x 9
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