Chapter 1 : Grade 7 Integer Review
“When subtracting something that isn’t there use a zero pair”
Examples:-3 - (-7)=
-3 - 7 =
3 - 7 =
3 + 7 =
-3 + 7 =
Chapter 2 : Multiplying Integers
Sign rule: when you are multiplying integers and you have 0 or even numbers of negatives, the answer is positive. When you are multiplying integers and you have odd numbers of negatives, the answer is negative.
Sign rule: when you are multiplying integers and you have 0 or even numbers of negatives, the answer is positive. When you are multiplying integers and you have odd numbers of negatives, the answer is negative.
Examples:
(+2) x (+3)=
(+2) x (-3)=
(-2) x (+3)=
(-2) x (-3)=
Chapter 3 : Dividing Integers
Partitive Division is how many groups are there in a number.
6 ÷ 2 =
Quotative division is how to share a number into groups
6 ÷ 2 =
6 ÷ 2 =
Sign rule:
Even: when numbers of negative integers are even the answer is positive
Even: when numbers of negative integers are even the answer is positive
Odd: when numbers of negative integers are odd the answers is negative
6 ÷ 2 = 3 There are no negative integers so that means the quotient is positive.
-6 ÷ (-2) = 3 There are two (even) negative integers that means the quotient is positive.
(-6) ÷ 2 = -3 There is a negative integer (odd) that means the quotient is negative.
6÷(-2) = -3 There’s one negative integer that means the quotient is negative.
Chapter 4 : Order of Operations with Integers
(+5) x (-3) + (-6) ÷ (+3)
-15 + (-6) ÷ (+3)
-15 + -2
-17
When answering Order of Operations remember B.E.M.D.A.S
B = Brackets
E = Exponent
M = Multiplication
D = Division
A = Addition
S = Subtraction
1. First answer numbers with brackets Ex. ( ) or [ ]
2. Then Answer Multiplication and Division
3. Then Addition and Subtraction
6 ÷ 2 = 3 There are no negative integers so that means the quotient is positive.
-6 ÷ (-2) = 3 There are two (even) negative integers that means the quotient is positive.
(-6) ÷ 2 = -3 There is a negative integer (odd) that means the quotient is negative.
6÷(-2) = -3 There’s one negative integer that means the quotient is negative.
Chapter 4 : Order of Operations with Integers
(+5) x (-3) + (-6) ÷ (+3)
-15 + (-6) ÷ (+3)
-15 + -2
-17
When answering Order of Operations remember B.E.M.D.A.S
B = Brackets
E = Exponent
M = Multiplication
D = Division
A = Addition
S = Subtraction
1. First answer numbers with brackets Ex. ( ) or [ ]
2. Then Answer Multiplication and Division
3. Then Addition and Subtraction
