Chapter 1Here are some exercise we did in class.
Zero Pair is when the same negative (-1) and a positive (+1) number are combined, the result is zero.
-16 +16 -11 +11 +14 -14 63 -63
Brackets are training wheels.
example: (+4) + (-4) = 0
4 - 4 <== pure standard form
examples:
-6 +2 = -4
-6 -2 = -8
-6 +10 = +4
Here are the * questions.
When subtracting something isn't there use zero pair.
-3 - (-7) = 4
-3 -7 = -10
3 -7 = -4
3 +7 = 10
-3 +7 = 4
Chapter 2
Multiplying Integers
Sign Rule (negative signs)
Even = when you have an even number of negative factors the product is POSITIVE.
Odd = when you have an odd number of negative factors the product is NEGATIVE.
(+2) x (+3) = 6
2 grops of (+3)
(+2) x (-3) = -6
2 groups of (-3)
(-2) x (+3)= -6
remove 2 groups of (+3)
(-2) x (-3) = 6
remove 2 groups of (-3)
Dividing Integers
How many groups of __ are in __?
How many __'s go into __?
Partitive Division - making parts or group
6 ÷ 2 = 3
-6 ÷ (-2) = +3
Qoutative Division - sharing with groups
(-6) ÷ 2 =
share group
When both integers are the same you can use partitive or qoutative division.
(+15) ÷ (3) = (+5) or 15 ÷ 3 = 5
Multiplicative Inverse can help solve 6 ÷ (-2) by finding the answer which is (-3) and switch it places with (-2) that makes 6 ÷ (-3) and the answer is (-2).
Sign Rule
When 2 integers have the same sign (+) ÷ (+) or (-) ÷ (-) the answer would be POSITIVE.
Order of Operations with Integers
(+5) x (-3) + (-6) ÷ (+3)
We can solve this problem by:
1) put brackets where you see multiplication and division happens
[(+5) x (-3)] + [(-6) ÷ (+3)]
2) solve the ones in brackets
(- 15) + (-2)
3) find the last answer
(-17)
Here is a video about multiplying integers
Good job, Jaeanne! I liked the way you highlihted the important words.
ReplyDeleteGood job Jae! Your post is well organized. Keep up the good work.
ReplyDelete