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In this lesson, we will learn how to use the distributive property of multiplication over addition and subtraction to rewrite equivalent expressions and evaluate them.

Q1:

Complete the equation: 1 9 × 6 4 = 1 9 × ( 4 + ) .

Q2:

Fill in the blanks:

Q3:

You are told that 3 9 × 7 = 2 7 3 and 3 9 × 3 0 = 1 , 1 7 0 . Use this to find 3 9 × 3 7 .

Q4:

Given that 2 1 × 3 = 6 3 , find 2 1 × 3 3 .

Q5:

Notice that 7 × 9 = ( 7 × 1 ) + ( 7 × 8 ) .

Fill in the blank: 3 × 6 = ( 3 × 3 ) + ( 3 × ) .

Q6:

Notice that 9 × 5 = ( 9 × 3 ) + ( 9 × 2 ) . Complete the following in the same way:

Q7:

Notice that 2 × 7 = ( 2 × 5 ) + ( 2 × 2 ) . Complete the following in the same way:

Q8:

Fill in the blank: 4 × 5 = 4 × 7 − 4 × .

Q9:

Fill in the blank: 4 × 8 = ( 4 × 7 ) + .

Q10:

Complete:

Q11:

Which of the following equations demonstrates the distributive property?

Q12:

Evaluate 6 4 4 × 2 and 6 4 4 × 3 0 and then deduce the product of 6 4 4 × 3 2 .

Q13:

Calculate .

Q14:

Calculate 7 × 7 . 3 mentally, using the distributive property.

Q15:

Use , , or to fill in the blank:

Q16:

Write the multiplication expression that is missing:

Q17:

Evaluate 9 7 × 1 0 1 using the distributive property.

Q18:

Q19:

Q20:

Fill in the blank: 1 4 × = 1 4 × 4 4 + 1 4 × 5 6 .

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