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Lesson: Applying the Distributive Property to Multiply Mentally

This lesson introduces the distributive property of multiplication — where in the case of multiplying a sum or a difference, each term of that sum or difference is multiplied before the partial products are added or subtracted, and demonstrates how you can use it to perform mental multiplication.

Worksheet: Applying the Distributive Property to Multiply Mentally • 17 Questions

Q1:

Complete the equation: .

Q2:

Find the area of the rectangle using the distributive property.

Q3:

The diagram shows a rectangle of sides and . Its area is thus , also written as . Work out the area of the two rectangles that make up the bigger rectangle to find an equivalent expression to .

Q4:

Using the distributive property, solve mentally.

Q5:

Using the distributive property, solve mentally.

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