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IM 6.6.9 Lesson: The Distributive Property, Part 1

Find each product mentally.

Select all the expressions that represent the area of the large, outer rectangle in figure A.

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
Check my answer (3)

Explain your reasoning.

Select all the expressions that represent the area of the shaded rectangle on the left side of figure B.

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
  • G
Check my answer (3)

Explain your reasoning.

Complete the table. If you get stuck, skip an entry and come back to it, or consider drawing a diagram of two rectangles that share a side.

Use the distributive property to write two expressions that equal 360. (There are many correct ways to do this.) 

Is it possible to write an expression like  that equals 360 where  is a fraction? Either write such an expression, or explain why it is impossible.

Is it possible to write an expression like  that equals 360? Either write such an expression, or explain why it is impossible.

How many ways do you think there are to make 360 using the distributive property?