# 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)