The area model presents a nice visual model of the distributive property. The last two problems involve 3 addends in parenthesis. However, each term has a variable. It is okay if students want to use the additive inverse and re-write these as sums.
Introduction 10 minutes I will begin with the essential question: What do 99 and 54 have in common? Here are a few more examples: I hope students solve a problem like 11, using mental math. First, I will review the concept of the distributive property with the class.
Using one problem as an example: What do 28 and 35 have in common? In question 3, students examine the matched expression and work to explain how the distributive property was used to expand the expression. Finally, students put their conclusions to work by expanding and evaluating 4 more expressions.
Check out a couple of examples. Or it can be a sum of two products. Both have an answer of We will work through more examples together.
I will model a few more examples for the class, that present additional challenges like more than one variable. So, this is when the distributive property comes in handy. Subtracting a negative is the same as adding a positive. Now, we will use the distributive property again.
Then take the sum of those two products. To prove that this property works, look at the model below. We can take the 7 out of both terms and be left with the 4 and 5. Look for and make use of structure.
How do the second and third expressions relate?You need to use the distributive property a(b + c) = ab + ac. and vice versa ab + ac = a(b + c) Let's do the first expression.
7r + 8r + 2. As you can see in first two terms r is common so take out common/5.
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ultimedescente.com the distributive property to write an expression that is equivalent -3(x + - 8) if the coefficient of the variable is increased by 10, what would the new expression be after you apply the distributive property?
Using the distributive property on an expression involving the sum of like terms allows us to combine the like terms as shown in the next example.
EXAMPLE 2 Combining like terms Use the distributive property to perform the indicated operations. a) 3x 5x b) 5xy (4xy) Solution a) 3x 5x (3 5)x Distributive property 8x Add the coefﬁcients.
Objective: I know how to simplify expressions using distributive property.
Distributive property allows you to simplify an expression that has parenthesis (or brackets). Multiply the value outside the parenthesis with. Section The Distributive Property Use what you learned about the Distributive Property to complete Exercises 5–8 on page Work with a partner.
Use the Distributive Property and mental math to ﬁ nd the product. a. Sample: 6 × 23 6 × 23 = 6 × (20 + 3) Write 23 as the sum of 20 and 3.
= (6 × 20) + (6 × 3) Distribute the 6 over the .Download