Using the Associative Property of Multiplication with Rational Numbers

This video tutorial teaches how to simplify multiplication problems using the associative property. It begins with a review of the order of operations, emphasizing the importance of following the correct sequence. The associative property is explained, showing how it allows for rearranging multiplication operations without changing the result. Common mistakes are highlighted, particularly the incorrect application of the property when other operations are involved. Two examples demonstrate the use of the associative property to simplify fractions, including one with negative fractions. The lesson concludes with a summary of the key points covered.

What is the first step in the order of operations?

• Perform multiplication and division from left to right

• Perform all operations inside grouping symbols

• Perform addition and subtraction from left to right

• Perform exponents

Which property allows you to change the grouping of numbers in a multiplication problem?

• Identity Property

• Associative Property

• Distributive Property

• Commutative Property

Why can't the associative property be applied to the expression (3 + 4) * 5?

• Because it involves division

• Because it involves exponents

• Because it involves subtraction

• Because it involves addition and multiplication

In the expression 4/5 * (5/8 * 14), what is the result after applying the associative property and simplifying?

• 1/2

• 14

• 1

• 7

What is the simplified result of the expression 6/7 * (-7/24 * 25) using the associative property?

• -6.25

• -7

• -5.5

• -6