Understanding Multiplying and Dividing Integers Unit 1 Lesson 11

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In this lesson on multiplying and dividing integers, students will learn how to apply rules for multiplication, including when integers have the same or different signs. Key vocabulary includes integers, negative numbers, and positive numbers. Sample problems are provided to practice multiplying integers using the rules taught.

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Multiplying and Dividing Integers Unit 1 Lesson 11

Multiplying and Dividing Integers Students will be able to: Multiply and divide integers using rules Key Vocabulary: An integer Negative number Positive number

Multiplying and Dividing Integers Rules for Multiplying Integers Rule 1: If the integers have the same signs then the product will be positive. + + = (+) = (+)

Multiplying and Dividing Integers Rules for Multiplying Integers Rule 2: If the integers have different signs then the product will be negative. + = + =

Multiplying and Dividing Integers Sample Problem 1: Find the product of each expression below using the rules for multiplying integers. ?? ? = a.

Multiplying and Dividing Integers Sample Problem 1: Find the product of each expression below using the rules for multiplying integers. ?? ? = ?? a.

Multiplying and Dividing Integers Sample Problem 1: Find the product of each expression below using the rules for multiplying integers. ?? ? = b.

Multiplying and Dividing Integers Sample Problem 1: Find the product of each expression below using the rules for multiplying integers. ?? ? = ?? b.

Multiplying and Dividing Integers Sample Problem 1: Find the product of each expression below using the rules for multiplying integers. ?? ?? = c.

Multiplying and Dividing Integers Sample Problem 1: Find the product of each expression below using the rules for multiplying integers. ?? ?? = ??? c.

Multiplying and Dividing Integers Sample Problem 1: Find the product of each expression below using the rules for multiplying integers. ?? ?? = d.

Multiplying and Dividing Integers Sample Problem 1: Find the product of each expression below using the rules for multiplying integers. ?? ?? = ??? d.

Multiplying and Dividing Integers Sample Problem 2: Find the product of each expression below using the rules for multiplying integers. ?? ?? = a.

Multiplying and Dividing Integers Sample Problem 2: Find the product of each expression below using the rules for multiplying integers. ?? ?? = ??? a.

Multiplying and Dividing Integers Sample Problem 2: Find the product of each expression below using the rules for multiplying integers. ?? ?? = b.

Multiplying and Dividing Integers Sample Problem 2: Find the product of each expression below using the rules for multiplying integers. ?? ?? = ??? b.

Multiplying and Dividing Integers Sample Problem 2: Find the product of each expression below using the rules for multiplying integers. ? ?? = c.

Multiplying and Dividing Integers Sample Problem 2: Find the product of each expression below using the rules for multiplying integers. ? ?? = ??? c.

Multiplying and Dividing Integers Sample Problem 2: Find the product of each expression below using the rules for multiplying integers. ??? ?? = d.

Multiplying and Dividing Integers Sample Problem 2: Find the product of each expression below using the rules for multiplying integers. ??? ?? = ?,??? d.

Multiplying and Dividing Integers Rules for Dividing Integers Rule 1: If the integers have the same signs then the quotient will be positive. + + + + = + ?? = + = + ?? = +

Multiplying and Dividing Integers Rules for Dividing Integers Rule 2: If the integers have different signs then the quotient will be negative. + + = ?? = + + = ?? =

Multiplying and Dividing Integers Sample Problem 3: Find the quotient of each expression below using the rules for dividing integers. ??? ? = a.

Multiplying and Dividing Integers Sample Problem 3: Find the quotient of each expression below using the rules for dividing integers. ??? ? = ??? a.

Multiplying and Dividing Integers Sample Problem 3: Find the quotient of each expression below using the rules for dividing integers. ?,??? ? = b.

Multiplying and Dividing Integers Sample Problem 3: Find the quotient of each expression below using the rules for dividing integers. ?,??? ? = ??? b.

Multiplying and Dividing Integers Sample Problem 3: Find the quotient of each expression below using the rules for dividing integers. ??? ?? = c.

Multiplying and Dividing Integers Sample Problem 3: Find the quotient of each expression below using the rules for dividing integers. ??? ?? = ?? c.

Multiplying and Dividing Integers Sample Problem 3: Find the quotient of each expression below using the rules for dividing integers. ??? ? d. =

Multiplying and Dividing Integers Sample Problem 3: Find the quotient of each expression below using the rules for dividing integers. ??? ? d. = ??

Multiplying and Dividing Integers Sample Problem 4: Find the quotient of each expression below using the rules for dividing integers. ??? ? = a.

Multiplying and Dividing Integers Sample Problem 4: Find the quotient of each expression below using the rules for dividing integers. ??? ? = ?? a.

Multiplying and Dividing Integers Sample Problem 4: Find the quotient of each expression below using the rules for dividing integers. ?,??? ?? = b.

Multiplying and Dividing Integers Sample Problem 4: Find the quotient of each expression below using the rules for dividing integers. ?,??? ?? = ?? b.

Multiplying and Dividing Integers Sample Problem 4: Find the quotient of each expression below using the rules for dividing integers. ??? ?? c. =

Multiplying and Dividing Integers Sample Problem 4: Find the quotient of each expression below using the rules for dividing integers. ??? ?? c. = ?

Multiplying and Dividing Integers Sample Problem 4: Find the quotient of each expression below using the rules for dividing integers. ?,??? ?? = d.

Multiplying and Dividing Integers Sample Problem 4: Find the quotient of each expression below using the rules for dividing integers. ?,??? ?? = ?? d.

Multiplying and Dividing Integers Sample Problem 5: Solve each expression below. ?? ??? ? = a.

Multiplying and Dividing Integers Sample Problem 5: Solve each expression below. ?? ??? ? = a. = ?,??? ? = = ???

Multiplying and Dividing Integers Sample Problem 5: Solve each expression below. ??? ? ( ??) = b.

Multiplying and Dividing Integers Sample Problem 5: Solve each expression below. ??? ? ( ??) = b. = ?? ( ??) = = ???

Multiplying and Dividing Integers Sample Problem 5: Solve each expression below. ( ???) ?? ( ??)?= c.

Multiplying and Dividing Integers Sample Problem 5: Solve each expression below. ( ???) ?? ( ??)?= c. = ( ???) ??= = ??? ? = = ??

Multiplying and Dividing Integers Combined operations on integers

Multiplying and Dividing Integers Sample Problem 6: Solve each expression below using order of operations. a. ?? + ?? + ( ??) ?? ? =

Multiplying and Dividing Integers Sample Problem 6: Solve each expression below using order of operations. a. = ?? + ?? ?? ? = = ?? + ??? ? = = ??? ? = = ??? + ( ?) = = ??? ?? + ?? + ( ??) ?? ? =

Multiplying and Dividing Integers Sample Problem 6: Solve each expression below using order of operations. b. ?? ? + ??? ( ?) ( ??) =

Multiplying and Dividing Integers Sample Problem 6: Solve each expression below using order of operations. b. = ?? ? + ?? ( ??) = = ? + ?? ?? = = ?? ?? = = ?? + ?? = = ?? ?? ? + ??? ( ?) ( ??) =