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In this lesson, we will learn how to model the multiplication of three single-digit numbers using the associative property.

Q1:

Which of these is equal to 1 8 × 5 ?

Hint: Remember that you can replace one of the factors by an expression it is equal to.

Q2:

Adam knows that you can break apart numbers to make calculations easier.

Finish his calculation to find the answer.

Pick one way to break apart one of the factors to solve .

Which of these is equal to ?

Q3:

Given that 𝑥 × ( 8 × 1 7 ) = ( 9 × ( − 8 ) ) × 1 7 , find the value of 𝑥 .

Q4:

Fill in the blank: 9 3 × 9 6 × 4 3 = × 4 3 × 9 3 .

Q5:

We can use the associative property to help us multiply.

Find the missing factor.

Find the missing product.

Q6:

Karim found a way to make 10 so he can multiply more easily.

Find the missing numbers using his strategy.

.

Q7:

Sherif and Farida know that they can multiply 3 numbers in any order.

They both find an expression that is equal to .

Sherif can’t solve . Use Farida’s expression to find the answer to .

If we don’t know , we can write 28 as and then solve by first making 20.

Q8:

When we multiply three numbers, we can choose which calculation to do first.

Do the highlighted calculations to find the missing numbers.

What is 6 × 5 × 2 ?

Q9:

Rectangle C is made of 2 copies of Rectangle A. So, its area is 2 times as much as the area of Rectangle A.

Pick another expression that is equal to the area of Rectangle C.

Rectangle D is made from 5 copies of Rectangle B.

Rectangle C has the same area as Rectangle D. Finish the equation by finding the expression in the brackets.

Q10:

Compare the expressions. Pick the symbol that is missing.

Q11:

Multiplying by 2 and 10 is easy!

Let’s rewrite this expression to make it easier.

Which of these is equal to 1 4 × 5 ?

What is 1 4 × 5 ?

Q12:

Complete:

Q13:

Q14:

To draw a model to show , Dalia draws an array to show and uses the third number to tell her how many copies to make.

How can she draw a model to show ?

Is there the same number of squares in each model?

Which equation do the models prove?

Q15:

Farida drew 5 arrays with 2 rows and 3 columns.

Use her picture to find the missing number. .

Find another expression that is equal to .

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