Using Properties of Operations: Rewriting Division as Multiplication

This lesson covers the use of properties of operations in division problems by rewriting division as multiplication using reciprocals. It explains that division is not commutative and demonstrates how to convert division problems into multiplication problems by taking the reciprocal of the divisor. The lesson also covers handling mixed numbers by converting them into improper fractions and applying the commutative property to simplify calculations.

What is a common mistake when dealing with division problems?

• Thinking division is commutative

• Thinking division is reflexive

• Thinking division is distributive

• Thinking division is associative

How do you convert a whole number into a fraction?

• Divide it by one

• Divide it by itself

• Multiply it by one

• Multiply it by zero

What is the first step in solving a division problem using multiplication?

• Multiply the numbers

• Add the numbers

• Take the reciprocal of the divisor

• Subtract the numbers

When converting mixed numbers to improper fractions, what is the next step after conversion?

• Apply the distributive property

• Change the problem to multiplication

• Change the problem to addition

• Apply the associative property

What should you do after applying the commutative property in a multiplication problem?

• Subtract the numbers

• Look for cross-cancellation opportunities

• Add the numbers

• Divide the numbers