Integer Multiplication


Introduction

Students will learn multiplying Integers. They will also understand multiplying integer is the same as adding the same number repeatedly.
Ex. (3) x (-4) = -4 + -4 + -4 = -12

PRACTICE PROBLEMS

Problem 1: Erikah lost $6 on gambling on 3 different occasions. How much money does she lost?
Solution: This problem is very simple: just multiply $6 by 3 for a product of $18, or add repeatedly $6 + $6 + $6 = $1
8.

 

MULTIPLICATION RULE


Rule 1: The product of a negative integer and a positive integer is a negative integer.
Rule 2
: The product of two positive integers or two negative integers is a positive integer. That means if you multiply two OF the same sign numbers, the product is always positive.

EXAMPLE 1: FIND THE PRODUCT

integers) product rules
(+4)(+5) (+20) rule 2
(-4)(+5) (-20) rule 1
(+4)(-5) (-20) rule 1
(-4)(-5) (+20) rule 2



 

EXAMPLE 2: FIND THE PRODUCT

integers) product rules
(+11)(+11) (+121) rule 2
(-11)(+12) (-132) rule 1
(+7)(-12) (-84) rule 1
(-12)(-12) (+144) rule 2

 



FROM THE EXMPLES WE DID WE HAVE ENOUGH EXPERIENCE

TO DO MORE THAN TWO INTEGERS. THE RULES WILL STAY THE

SAME. WE MULTIPLY TWO INTEGERS AT A TIME.

EXAMPLE 3: FIND THE PRODUCE OF THREE OR MORE INTEGERS

integers) product rules
(+4)(+4)(+4) (+16)(4)= +64 rule 2
(-4)(+4)(+4) (-16)(+4)= -64 rule 1
(-4)(-4)(+4) (+16)(4)=64 rule2
(-4)(-4)(+4) (+16)(-4) rule 2

 

 

EXAMPLE 4: FIND THE PRODUCT OF FOUR INTEGERS.

MULTILYING FOUR NUMBERS IS THE SAME AS MULTIPYING TWO

NUMBERS. BECAUSE, WE MULTIPLY TWO NUMBERS AT A TIME. THERE

ARE TWO PAIRS IN FOUR INTEGERS

FIND THE PRODUCT OF MORE THAN THREE INTGERS

integers) product rules
(+4)(+4)(+4)(+4) (+16)(+16)= +256 rule 2
(-4)(+4)(+4)(+4) (-16)(+16)= -256 rule 1
(-4)(-4)(+4)(+4) (+16)(+16)=+256 rule1
(-4)(-4)(-4)(+4) (+16)(-16)=-256 rule 2
(-4)(-4)(-4)(-4) (+16)(+16)=+256 rule 2

 



Exercises
Directions:

Work out the problems first, and when you finish, go to the answer page and grade your work.

Quastions Quastions give the rule number Give answers

Q. 1

(2)(3)(4)    
Q. 2 (-2)(3)(4)    
Q. 3 ( -12)(-1)(10)    
Q. 4 (-12)(-13)(-50)    
Q.5 (-3)(-2)(3)(4)    
Q.6 (-5)(-3)(-4)(2)    
Q.7 (-2)(-2)(-2)(-2)(-2)    
Q.8 (-2)(-2)(-2)(-2)(-2)(-2)    
Q.9 (-2)(-2)(-2)(-2)(-2)(-2)(-2)