A rectangle with side lengths 6 cm and cm is partitioned into two smaller rectangles, as shown in the diagram.
A rectangle with height labeled 6 and total width labeled w. Rectangle is partition into two smaller rectangles. First rectangle shares height of 6 and width of 4. Second smaller rectangle has an area shaded blue.
Explain why each of these expressions represents the area, in cm2, of the shaded region.
10.2
Activity
Matching to Practice Distributive Property
Match each expression in Column A to an equivalent expression in Column B.
If you get stuck, consider drawing a diagram. Be prepared to explain your reasoning.
Column A
Column B
10.3
Activity
Writing Equivalent Expressions Using the Distributive Property
The distributive property can be used to write equivalent expressions.
In each row, use the distributive property to write an equivalent expression.
If you get stuck, consider drawing a diagram.
product
sum or difference
Student Lesson Summary
The distributive property can be used to write a sum or difference as a product, or write a product as a sum or difference.
Here are some examples of expressions that are equivalent due to the distributive property.
Glossary
None
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