## Wednesday, March 9, 2011

### Kathryn's Great Big Book of Integers

CHAPTER 1 GRADE 7 INTEGERS REVIEW

(+4)+(-2)=+2
positive 4 AND negative 2
have 4 AND owe 2

STANDARD FORM (remove the + and () when not needed)
(+4)+(-2)=2
remove the brackets and the + sign because they aren't needed for the equation.
4-2=-2
have 4, owe 2=2

MAKE A ZERO PAIR
a) -16, +16 b) -5,+5 c)-11,+11 d)-2,+2
e) -6,+6 f) -10,+10 g) -9,+9 h) -3,+3

Homework:
5. -3-(-7) =+4
Owe 3 owe 7= +4
To solve this problem, use zero pairs

6. -3-7= -10
Owe 3 and owe 7= -10
To solve add -3 and -7 then you'll have -10

7. 3-7 = -4
Have 3, owe 7 = -4
To solve use zero pairs. Then remove -7. Lastly, check if there's any zero pairs.

8. 3+7 = 10
Have 3 and have 7= 10
To solve, add 3 and 7.

9. -3+7= +4
Owe 3 and have 7= +4
To solve, use zero pairs. Remove zero pairs.

CHAPTER 2- MULTIPLYING INTEGERS

(+2)x(+3) = +6
(2)x(3) = 6
(2)(3) = 6
*Standard form*2(3) = 6

(+2)x(+3) = +6
2 groups of (3)=+6

(+2)x(-3) = -6
2 groups of (-3)=-6

(-2)x(-3) = +6
remove 2 groups of (-3)=+6

(-2)x(+3) = -6
remove 2 groups of (+3)=-6

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.

CHAPTER 3- DIVIDING INTEGERS

Partitive Division- a type of division which means making parts

EX: 6÷3=2

(-6)÷-3 =2

Quotative- a type of division where you share your total with groups.

EX: -6÷(2)=

CHAPTER 4- Order of Operations With Integers

To solve (+5) x (-3) + (-6) ÷ (+3)=
*Squared brackets ALWAYS come first
*If there's no squared brackets use the order of BEDMAS.
*If there is division and multiplication at the same time, answer from left to right.
*If there is addition and subtraction at the same time, answer from left to right.
*Remember the sign rules!:)

STILL IN TROUBLE?

LINKS:)
http://www.mathleague.com/help/integers/integers.htm
http://www.mathgoodies.com/lessons/vol5/intro_integers.html

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