Mathematics
Grade 3
15 min
Multiply by 4
Multiply by 4
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Recall multiplication facts for 4 from 4x0 to 4x10.
Use repeated addition to solve multiplication problems involving the number 4.
Apply the 'double-double' strategy to find the product of a number and 4.
Model 'multiply by 4' problems by drawing equal groups or arrays.
Solve one-step word problems that require multiplication by 4.
Identify the repeating pattern in the ones place of the products in the 4s times table.
A car has 4 wheels. How many wheels would 5 cars have? 🚗 Let's learn a fast way to find out!
In this lesson, we will explore different ways to multiply by the number 4. Learning your 4s facts will help you solve problems much faster than just adding, and it's a key skill for all kinds of math in the future.
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Key Concepts & Vocabulary
TermDefinitionExample
MultiplicationA fast way of doing repeated addition. It's used to combine equal groups to find a total.Instead of writing 4 + 4 + 4, we can write 3 x 4. Both equal 12.
FactorThe numbers that are multiplied together in a multiplication problem.In the problem 4 x 6 = 24, the factors are 4 and 6.
ProductThe answer you get when you multiply two or more factors.In the problem 4 x 6 = 24, the product is 24.
Repeated AdditionAdding the same number over and over again. Multiplication is a shortcut for this.4 x 5 is the same as adding 4 five times: 4 + 4 + 4 + 4 + 4 = 20.
ArrayAn arrangement of objects, pictures, or numbers in equal rows and columns.A 4 x 3 array has 4 rows with 3 items in each row, for a total of 12 items.
Equal GroupsGroups that all have the same numbe...
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Core Formulas
The Double-Double Strategy
n \times 4 = (n \times 2) \times 2
To multiply any number by 4, you can double the number, and then double that result. This is often easier than memorizing the 4s facts directly.
Repeated Addition Rule
n \times 4 = 4 + 4 + ... + 4 \text{ (n times)}
This shows that multiplying by 4 is the same as adding 4 to itself a certain number of times. This is a great way to check your work.
Commutative Property
4 \times n = n \times 4
The order in which you multiply numbers does not change the product. This means 4 x 8 is the same as 8 x 4.
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Challenging
A farmer has 4 pens for his pigs. He puts 6 pigs in each pen. He also has 10 chickens in a coop. How many PIGS does the farmer have?
A.34
B.16
C.24
D.10
Challenging
Sam put his stamp collection into a book. He filled 8 pages with 4 stamps on each page. He had 3 stamps left over that didn't fit. How many stamps did he have in total?
A.32
B.15
C.29
D.35
Challenging
I am a whole number. If you multiply me by 4, the answer is greater than 25 but less than 30. What number am I?
A.8
B.6
C.9
D.7
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