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McGraw Hill Integrated I, 2012
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McGraw Hill Integrated I, 2012 View details
4. The Distributive Property
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Exercise 1 Page 29

Use the Distributive Property.

Expression:
Evaluation:

Practice makes perfect
The pilot charges dollars for each passenger, without regard to whether the passenger is an adult or a child. This means that to find the total amount of money they pilot will charge, we need to multiply by the total number of passengers.
To evaluate this function, we will start by applying the Distributive Property.
Distr

Distribute

Multiply

Multiply

AddTerms

Add terms

Altogether, the passengers will pay dollars.

Extra

 Other Important Properties of Operations

When we want to manipulate an expression for any reason, there are a number of a properties that we can use to legally rewrite it. Besides the Distributive Property, there are four main properties to consider.

Properties of Operations
Property Algebraic Rule Explanation
Associative Property of Addition The way that three or more terms are grouped when being added does not change the sum.
Commutative Property of Addition The order does not matter when adding terms.
Associative Property of Multiplication The way that three or more terms are grouped when being multiplied does not change the product.
Commutative Property of Multiplication The order does not matter when multiplying terms.
Subchapter links expand_more
arrow_right Check Your Understanding p.29
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arrow_right Practice and Problem Solving p.29-30
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arrow_right H.O.T. Problems p.30
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arrow_right Standardized Test Practice p.31
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arrow_right Spiral Review p.31
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arrow_right Skills Review p.31
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