Distributive Property and Rational Numbers

This video tutorial covers Grade 7 Common Core Math, focusing on the properties of operations to multiply and divide rational numbers. It demonstrates the use of the distributive property through two problems. Problem A involves rewriting a mixed number and distributing multiplication over addition. Problem B simplifies an expression by identifying common factors and using the distributive property. The tutorial emphasizes understanding the application of the distributive property in different contexts.

What is the main focus of this lesson?

• Properties of operations for solving equations

• Properties of operations for addition and subtraction

• Properties of operations for geometry

• Properties of operations for multiplying and dividing rational numbers

In Problem A, how is the number 2 and 1/4 rewritten using addition?

• 2 + 1/5

• 2 + 1/3

• 2 + 1/4

• 2 + 1/2

What is the first step in applying the distributive property to the expression 2 and 1/4 * 8?

• Subtract 1/4 from 2

• Add 2 and 1/4

• Multiply 8 by 1/4

• Multiply 8 by 2

What is the result of 8 multiplied by 1/4 in Problem A?

• -2

• 4

• 2

• -4

What is the final answer for Problem A after applying the distributive property?

• 8

• 6

• 12

• 10

In Problem B, what is the common factor outside the parentheses?

• 1/3

• 2/3

• 4/5

• 3/4

What is the sum inside the parentheses in Problem B?

• -8

• -10

• -6

• -12

How do you calculate 2/3 * -12 in Problem B?

• Divide 2/3 by -12

• Divide 2/3 by 12

• Multiply 2/3 by -12

• Multiply 2/3 by 12

What is the final result of Problem B after using the distributive property?

• 12

• 8

• 10

• 6

Which property is primarily used in both Problem A and Problem B?

• Associative Property

• Identity Property

• Distributive Property

• Commutative Property