7th Grade Math

Multiply and Divide Integers

PART A BC

Get ConnectED

Multi-Part

Lesson 3

GLE 0706.2.1

Extend understandings of

addition, subtraction,

multiplication and division

to integers. SPI 0706.2.5

Solve contextual problems

that involve operations with

integers. Also addresses

GLE 0706.1.8, GLE 0706.2.2,

SPI 0706.2.1.

Lesson 3D Multiply and Divide Integers 109

Main Idea

Divide integers. Divide Integers

You can find the product of 5 × (-3) on a number

line. Start at zero and then move -3 units five times.

• 3 - 3 - 3 - 3
  
  
  • 15
    
    
    • 3
    
    
    
    
  
  
  
  


• 16 - 15 - 14 - 13 - 12 - 11 - 10 - 9 - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0

1. What is the product of 5 × (-3)?


2. What division sentence is also shown on the line?


3. Draw a number line to find the product of 4 × (-2). Then find the
   related division sentence.

Division of numbers is related to multiplication. When finding the

quotient of two integers, you can use a related multiplication

sentence.

... is the quotient

in the division

sentence.

The factor in the

multiplication

sentence ...

2 (6)^ = 12 12 ÷ 2 = 6

4 (5)^ = 20 20 ÷ 4 = 5

Since multiplication and division sentences are related, you can use

them to find the quotient of integers with different signs.

negative

quotient

different

signs

2 (-6)^ = - 12 - 12 ÷ 2 = - 6

• 2 (-6)^ = 12 12 ÷ (-2) = - 6

Divide Integers with Different Signs

Words The quotient of two integers with different signs is negative.

Examples 33 ÷ (-11) = - 3 - 64 ÷ 8 = - 8

D

102_113_C2L3_895130.indd 109 12/29/09 12:50 PM