## Thursday, March 17, 2011

### Karen's Great Big book of Integers

Chapter 1: Grade 7 Integer Review
-A zero pair is positive and negative combined.
-To find integers you can use a number line or integer chips.
-Rule: When subtracting something thatisn't there, use a zero pair
-Positive is usually represented with withblue chips and negative is usually represented with red chips

Examples:

1. (-3) - (-7) = 4

2. -3 - 7 = -10

3. 3 - 7 = -4

4. 3 + 7 = 10

5. -3 + 7 = 4

Chapter 2: Multiplying Integers
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.

• (+2) x (+3)=
• (+2) x (-3)=
• (-2) x (+3)=
• (-2) x (-3)=
• 1. (+2) x (+3) = 6
2. (+2) x (-3) = -6
3. (-2) x (+3) = -6
4. (-2) x (-3) = 6

Chapter 3: Dividing Integers
Partative Division: knowing the total number of groups & finding the number of items in each group.

1. 6÷2= 3
2. -6÷ (-2) = -3
• (+2) x (+3)=
• (+2) x (-3)=
• (-2) x (+3)=
• (-2) x (-3)=
• Quotative Division: finding how many things are in each group & finding how many groups there are.

(-6)÷2=-3
Multiplicative Inverse
-6 ÷ -2 = 3
-3 x -2 = 6
-2 x -3 = 6

Sign Rule:
The quotient in a division question with zero or even amount of (-) signs will be positive.
When there is one negative sing or odd number of negative signs the quotient is negative.
*quotient is the answer to division

Chapter 4: Order of Operations With Integers
To solve this you need to use B.E.D.M.A.S.
*Remember to add the square brackets, then do the multiplies & divides first from left to right lasly do adds & subtracts left-right also.
(+5) x (-3) + (-6) ÷ (+3)= (-17)
(+5) x (-3) + (-6) ÷ (+3)
[(+5) x (-3) ] + [ (-6) ÷ (+3)]
-15 + -2

-17