Grade 7 Integer Review
Integers could be express using a number line or integer chips.
In integers, when adding both positive and negative with the same number they will cancel each other out making the answer a zero.
eg. (+5) + (-5) or (-5) + 5The brackets for the integers are like training wheels for making equations more understandable
but mostly we need to use standard form.
eg. (+6) + (-6) In standard form 6 -6
Chapter 2:
Multiplying Integers
The Sign Rule:
When you have an even number of negative factors, the product will be POSITIVE.
eg. (-4) x (-4) = +16
When you have an odd number of positive factors, the product will be NEGATIVE.
eg. (+5) x (-4) = -20
Ways of showing how to multiply integers:
Positive x Positive = Positive: (+2) x (+3) = +6 , (2) x (3) = 6 , (2) (3) = 6
or
2(3) = 6
or
2 groups of (+3)
Negative x Positive = Negative: (-2) x (+3), remove 2 groups of (+3)
Negative x Negative = Positive: (-2) x (-3), remove 2 groups of (-3)
Chapter 3:
Dividing Integers
The way of reading the dividing integers is:
- How many groups of __ are in __?
- How many __'s go into __?
Partitive Division - The making of groups or parts.
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 same sign is Negative.
Chapter 4:
Order of Operations with Integers
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
eg.
(+5) x (-3) + (-6) ÷ (+3) =
[(+5) x (-3)] + [(-6) ÷ (+3)] =
(-15) + (-2) = -17
Awesome post Albert. I like the pictures and you have great information, very understandable.
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