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Grade 7:  The Learning Equation Math

12.06 Multiplying and Dividing Integers

 Number Operations Refresher pp 34-5

Learning Objectives:

The student will:

 Multiply the following numbers and remember the rules for multiplying integers. factor x factor = product Question Work Sign Answer 4 x 3 = 4 groups of is Positive 4 x 3 = 12 The product of two positive factors is positive. 5 x -6 = 5 groups of   is Negative 5 x  -6 = -30 The product of a negative and positive factor is negative. -3 x  2 = -3 groups of   is the negative of   which is Negative -3 x 2 = -6 The product of a negative and positive factor is negative. -2 x -5 = -2 groups of   is the negative of   which is Positive -2 x -5 = 10      The product of two negative factors is positive. Note:  Same signs the answer is positive.   Different signs the answer is negative.

Lesson on Multiplication of Integers

 Mulitplying Integers Range -10 to 10 -100 to 100 Hold down Shift and click the Reload button on your browser to try again. source:  Subtraction 2
 Divide the following numbers and remember the rules for dividing integers. Quotient ÷ divisor = dividend Question Work Sign Answer 12 ÷ 3 = shared into 3 groups   has 4 in each group. Positive 12 ÷ 3 = 4 The quotient of two negative numbers factors is positive. 30 ÷ -6 = 30 ÷ 6 is the opposite of 30 ÷ (-6).    Since 30 ÷ 6   has 5 in each group,   30 ÷ (-6) must have -5 in each group Negative 30 ÷ -6 = -5 The quotient of a positive and negative number is negative. -15 ÷  5 = divided into 5 groups   has -3 in each group. Negative -15 ÷ 5 = -3 The quotient of a positive and negative number is negative. -10 ÷ -2 = divided into groups of -2 is   is 5 groups of -2. Positive -10 ÷ -2 = 5     The quotient of two negative numbers factors is positive. Note: I changed the method somewhat for this example. If I followed the previous examples we would need to work with negative groups: -2 groups  x ____  in each group = -10 I switched to the following for this example because order of multiplication does not matter: -2 in each group x ____ groups = -10 Therefore -10/-2 in each group = 5 groups Notice:   Same signs the answer is positive.  Different signs the answer is negative.

Lesson on Division of Integers

 Dividing Integers Range -10 to 10 -100 to 100 Hold down Shift and click the Reload button on your browser to try again. source:  Subtraction 2

Multiplying and Dividing Integer Calculations

You can calculate integer products and quotients on a scientific calculator.  Use this calculator to check the learn the procedure, then make up your own examples.

Press Reload/Refresh if the calculator does not show properly.

 Product/ Quotient Calculator Input Standard Name 8 x 4 8 4 32 -8 x 4 8 4 -32 8 x -4 8 4 -32 -8 x -4 8 4 32 8 ÷ 4 8 4 2 -8 ÷ 4 8 4 -2 8 ÷ -4 8 4 -2 -8 ÷ -4 8 4 2

Review:

A+ Math Flash Cards - Choose multiplying and/or dividing

Lesson on Operations with Integers

Enrichment:

 Integer Calculator Left click first number, right click second number.

 Key Terms: A-E F-J K-O P-R S-Z

integer, positive, negative, signed number, magnitude, direction, factor, product, dividend, divisor, quotient, zero model, absolute value

Prerequisite Skills:

Introduction to Integers:  Grade 7 Lesson 11.09

Introduction to Integers:  Grade 7 Lesson 11.09

Introduction to Integers:  Grade 7 Lesson 11.09

Introduction to Integers:  Grade 7 Lesson 11.09