Colleen's Great Book Of Integers

Integers
-number lines
-integer chips (red=positive blue=negative)
-zero pair
-negative and positive numbers
**When subtracting something that isn't there use a zero pair.

-3-(-7)













-3 -7










-3+7








Chapter 2
Multiplying Integers

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

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













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

(+2) x (+3)=6














*Sign Rule (negative sign)*
Even= when you have an even number of Negative factors product is POSITIVE
Odd= When you have and Odd number of negative factors the product is NEGATIVE

Chapter 3 Dividing Integers

Partitive division is how many groups of a number are in a given value.

example:
6÷2=3











-6÷ (-2)= 3












Quotative Division is sharing a certain number between a given value.












Example of sign rule.

6/2= 3
no (-) signs which means its a positive
-6/(-2)= 3
2 (-) signs which means its a positive
(-6)÷2= -3
1 (-) sign which means its a negative
6÷(-2)= -3
1 (-) sign which means its a negative.

Chapter 4 Order of Operations with Integers

Order of operation
(+5) x (-3) + (-6) ÷ (+3)=

[(+5) x (-3)]= -15

(-15) + (-6) ÷ (+3)

[(-6) ÷ (+3)]= -2

(-15) + (-2) = -17