Monday, March 21, 2011

Shenna's Great Big Book of Integers

Chapter 1: Grade 7 Integer Review

Integers:
number lines
integer chips
zero pair
negative and positive numbers

red integer chip = positive
blue integer chip = negative




























Integers ala Grade 7


(+4)+(-4)=0      (+4) - have 4, (-4) - owe 4
Brackets are training wheels.
Standard form:
4-4  <------- pure standard form

-3 - (-7)=+4








-3 -7= -10






3 -7= -4










3 +7= 10









-3 +7= +4









Chapter 2: Multiplying Integers

(+3)x(+8)=+24                                                  repeated addition
(3)x(8)=24                                                     (+1)+(+1)+(+1)=3
(3)(8)=24                                                                3x(+1)=3
3(8)=24 <---------standard form




















Chapter 3: Dividing Integers

Partative Division: How many groups of 2 are in 6? or How many 2's go into 6?















Quotative Division: sharing with groups




Multiplicative Inverse can help you solve 6/(-2) by switching the number around when checking the answer. Like this: the answer in 6/(-2) is -3 so you use multiplicative inverse to check if your answer is right.
6/(-3)= -3.

Sign Rule:

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.

6/2= +3 (it's positive because both factors are positive)
-6/(-2)= +3 (it's positive because there is an even number of negative factors)
(-6)/2= -3 (it's negative because there is an odd number of negative factors)
6/(-2)= -3 (it's negative because there is an odd number of negative factors)



Chapter 4: Order of Operation With Integers


BEDMAS stands for Brackets, Exponents, Division, Multiplication, Addition, Subtraction

(+5)x(-3)+(-6)/(+3)=
[(+5)x(-3)]+(-6)/(+3)=
-15+[(-6)/(+3)]=
-15+ -2= 17

Click here to learn more about Order of Operation



1 comment:

  1. Good job, Shenna! I liked the way you explained things but next time add a link and video too.

    ReplyDelete