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 = $18.
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) |