# 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 ($\times$)

MultiplyResultExample
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 ($\div$)

MultiplyResultExample
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 $\div$ zeroundefined (has no answer)$6 \div 0$ has no answer
negative number $\div$ zeroundefined$(-20) \div 0$ has no answer

Test your understanding of the rules for division of integers by answering these questions.

 $27 \div 3=$ $0 \div 9=$ $(-45) \div 5=$ $(-32)\div (-8)=$