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More on Multiplying and Dividing Integers
The rules for multiplying and dividing two integers are shown in the tables below. When multiplying or dividing you need to check if the numbers are positive or negative as the combination will tell you if the answer is positive or negative.
Summary: multiplying integers ($\times$)
Multiply  Result  Example 

positive number $\times$ positive number  positive number  $5 \times 2 =10$ 
positive number $\times$ negative number  negative number  $5 \times (3)=15$ 
negative number $\times$ positive number  negative number  $(7) \times 3=21$ 
negative number $\times$ negative number  positive number  $(6) \times (2)=12$ 
zero $\times$ positive number  zero  $0 \times 3=0$ 
zero $\times$ negative number  zero  $0 \times (2)=0$ 
Test your understanding of the rules for multiplication of integers by answering these questions.
$5 \times 7=$  
$4 \times (6)=$  
$(8) \times (3)=$  
$(12)\times 0=$  
$(2)\times (3) \times 6=$  
$(2) \times (2) \times (1)=$ 
Summary: dividing integers ($\div$)
Multiply  Result  Example 

positive number $\div$ positive number  positive number  $10 \div 5 =2$ 
positive number $\div$ negative number  negative number  $16 \div (8)=2$ 
negative number $\div$ positive number  negative number  $(25) \div 5=5$ 
negative number $\div$ negative number  positive number  $(30) \div (3)=10$ 
zero $\div$ positive number  zero  $0 \div 9=0$ 
zero $\div$ negative number  zero  $0 \div (5)=0$ 
positive number $\div$ zero  undefined (has no answer)  $6 \div 0$ has no answer 
negative number $\div$ zero  undefined  $(20) \div 0$ has no answer 
Test your understanding of the rules for division of integers by answering these questions.
$27 \div 3=$  
$0 \div 9=$  
$(45) \div 5=$  
$(32)\div (8)=$ 
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