Name:_________________________________
M2BL10
Accordino-Math 7
Date:_________
Period:________
Lesson 10: Order of Operations and Number
Properties
Bellringer
1)
Simplify the expression below to a single integer:
(-8) + (2)
2)
A number line is shown below. Which of the following expressions represents the distance from (-1) to (3)?
a.
|(−1) − (−3)|
b.
|(−1) − 3|
c.
|(−3) − (−1)|
d.
|3 − 1|
Name:_________________________________
M2BL10
Accordino-Math 7
Date:_________
Period:________
Lesson 10: Order of Operations and Number
Properties
Notes
Review:
Integer: ___________________________________________________________________________
Absolute Value: ____________________________________________________________________
Ex)  10  10
Ex) 10  10
The Additive Inverse: ________________________________________________________________
Ex) 10, -10

-101, 101
When we add a number and its opposite we will always get an answer equal to____________________. This
is called the Additive Inverse of a number!!!
“THE RULES”
1) Adding Integers:
When adding two integers with the same sign ( ++ or --):
When adding two integers with different signs (+- or -+):
2) Subtracting Integers:
“____________, _________________, _______________”
Then, follow the rules for ____________________________ of integers.
3) Multiplying and Dividing Two Integers

When multiplying or dividing two integers with the same sign (++ or --): multiply or divide the absolute values
and make the sign of your solution ________________________.

When multiplying or dividing two integers with different signs (+- or -+): multiply or divide the absolute values
and make the sign of your solution ________________________.
Name:_________________________________
M2BL10
Accordino-Math 7
Date:_________
Period:________
Order of Operations:________________________________________________________________
Directions: Evaluate each expression below to a single integer by using Order of Operations:
Ex 1) 𝟑 + 𝟔 × (−𝟐)
Ex 2) (𝟔 − 𝟗)𝟐 ÷ 𝟑 + 𝟏
Name:_________________________________
M2BL10
Date:_________
Accordino-Math 7
Period:________
Commutative Property:________________________________________________________
Ex)
Associative Property:__________________________________________________________
Ex)
Additive Inverse:_______________________________________________________________
Ex)
Evaluate each expression below to a single integer. Identify the number properties used to solve.
1)
 56  (8)  (48) 
3)  50  (10)  50 
2)
((42)  7)  501  503 
4)
You Try It!
Evaluate each expression to a single integer.
(5) 2  10 
Name:_________________________________
M2BL10
Accordino-Math 7
Date:_________
Period:________
Homework:
Directions: Evaluate each expression to a single integer.
11) A number line is shown below. Which of the following expressions represents the distance from (5) to (-6)?
a.
|(5) − (−6)|
b.
|6 − 5|
c.
|(5) − 6|
d.
|(−6) − (5)|
12) Brian evaluated the expression below as follows:
 20  (8)  (6) * 2
 20  (8)  (12)
(28)  (12)
(40)
What was Brian’s mistake?
Name:_________________________________
M2BL10
Accordino-Math 7
Date:_________
Period:________
Lesson 10: Order of Operations and Number
Properties
Exit Ticket
1) Evaluate the expression below to a single integer:
9  (2)  5  (1)
2) Which expression below shows the use of the commutative property of addition?
a. (6)(3)(2)  (6)(6)
b. (6)  (6)  0
c. (3)  (2)  (3)  (3)  (3)  (2)
d. (3)  (3)  (2)  0  2