Mathematics
Grade 3
15 min
Multiply by 6
Multiply by 6
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Recall all multiplication facts for 6 from 6 x 0 to 6 x 12.
Use repeated addition to solve multiplication problems involving the number 6.
Apply the 'double the 3s fact' strategy to find the product of a number and 6.
Use the commutative property to solve multiplication problems (e.g., knowing 6 x 8 is the same as 8 x 6).
Solve one-step word problems that require multiplying by 6.
Identify patterns in the 6 times table, such as all products being even numbers.
If you have 5 insects, how many legs are there in total? 🐞 Let's find out how multiplying by 6 can give us the answer super fast!
In this lesson, we will become experts at multiplying by 6! We will learn some cool tricks to remember our 6s facts, see how they connect to our 3s facts...
2
Key Concepts & Vocabulary
TermDefinitionExample
MultiplicationA fast way to do repeated addition. It's when you combine equal groups to find a total.6 x 4 is the same as 6 groups of 4, or 4 + 4 + 4 + 4 + 4 + 4.
FactorsThe numbers that are being multiplied together in a multiplication problem.In the problem 6 x 7 = 42, the factors are 6 and 7.
ProductThe answer you get when you multiply two or more factors.In the problem 6 x 7 = 42, the product is 42.
Repeated AdditionAdding the same number over and over again. Multiplication is a shortcut for this.To solve 6 x 3, you can use repeated addition: 6 + 6 + 6 = 18.
ArrayA picture that shows objects in equal rows and columns to represent a multiplication problem.An array for 6 x 2 would have 6 rows with 2 dots in each row.
Commutative PropertyThis property says you...
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Core Formulas
The Repeated Addition Rule
6 \times n = 6 + 6 + ... + 6 \text{ (n times)}
To multiply a number 'n' by 6, you can add 6 to itself 'n' times. This is great for visualizing the problem.
The 'Double the 3s Fact' Strategy
6 \times n = (3 \times n) + (3 \times n)
Since 6 is double 3, you can solve a 6s fact by finding the 3s fact first and then doubling that answer. If you know your 3s, you can know your 6s!
The Commutative Property Rule
6 \times n = n \times 6
Remember that you can switch the order of the numbers you are multiplying. Sometimes it's easier to think of '8 groups of 6' than '6 groups of 8'.
4 more steps in this tutorial
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Challenging
After buying 6 toy cars that cost $7 each, Sam had $8 left. How much money did he start with?
A.$42
B.$21
C.$49
D.$50
Challenging
The product of a number and 6 is 24. What is the sum of that number and 6?
A.10
B.14
C.24
D.30
Challenging
A number machine multiplies any number you put in by 6. If the number 54 comes out, what number went in?
A.8
B.9
C.48
D.60
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