Identifying Implied Information in Part to Part Ratios

This video tutorial explains how to rewrite multiplication problems using the commutative and associative properties. It highlights the ability to change the order and grouping of numbers in multiplication without affecting the result. The video provides examples with rational and whole numbers, demonstrating how these properties simplify calculations. It also warns against common mistakes, such as applying these properties to division, and concludes with a summary of the key points.

What does the commutative property of multiplication allow you to do?

• Change the order of numbers

• Change the grouping of numbers

• Divide numbers in any order

• Add numbers in any order

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

• Distributive property

• Identity property

• Associative property

• Commutative property

In the example 1/2 * 2/3 * 6, what is the result after applying the commutative and associative properties?

• 1

• 2

• 4

• 3

How does changing the order and grouping in 8 * (7 * 0.5) simplify the calculation?

• It makes the numbers smaller

• It makes the numbers larger

• It reduces the number of steps

• It changes the final result

What is the final result of the multiplication problem 8 * (7 * 0.5) after applying the properties?

• 56

• 35

• 14

• 28