Chapter 1: Grade 7 Integer Review:
Integers are "negative" and "positive" numbers. They can be represented as integer chips or on a number line. You get a "zero pair" when you have a negative and positive of the same number, example: -3 and +3 make 0.
Adding and subtracting integers:
(-3) + (+9) =
owe 3 have 9= +6
(+7) - (-9)
have 7 owe 9= 16
Chapter 2 multiplying integers:
Sign rules: When you have an even number of negative integers the answer is positive.
When you have an odd number of negative integers the answer is negative.
(3)x (7)= 21
3 groups of positive 7 the answer is positive 21
+++++++ +++++++ +++++++
(-4) x (+2)
remove 4 groups of positive 2
++ ++ ++ ++ = -- -- -- --
-- -- -- --
Chapter 3: Dividing Integers:
The way of reading the dividing integers is:
- How many groups of (a) are in (b)?
- How many (c)'s go into (d)?
(+9) ÷ (+3) =3
Partitive Division - The making of groups or parts.
(9) ÷ (3)=
+++ +++ +++
3 groups of positive 3
Quotative Division - Sharing with groups.
The quotient of the two integers with the same sign is "Positive".
The quotient of the two integers with the different sign is "Negative".
Chapter 4: Order of Operation
B.E.D.M.A.S. is used to do the order of operations for integers which stands for:
Brackets
Exponents
Division
Multiplication
Addition
Subtraction
(+7) x (-2) + (-9) ÷ (+8) =
[(+7) x (-2)] + [(14) ÷ (+2)] =
(-14) + (+7)= -7
Great post Jam. I would recommend changing the font of headings so that they stand out and are easy to find. I like that you chanded to font of the positive and negative integers.
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