Order of Operations
List the 4 steps in the Order of Operations
1. Parentheses
2. Exponents
3. Multiplication & Division
4. Addition & Subtraction
8 x (3 + 2)
40
The math properties we discussed this chapter can be used with which operations?
addition and multiplication
What property is being shown: (7 + 3) + 9 = 7 + (3 + 9)
Associative Property
What two things does a numerical expression have?
Numbers and Operations
Which steps in the Order of Operations will you consider multiple operators?
Step 3: Multiplication & Division
Step 4: Addition & Subtraction
9 + 2 x (16 ÷ 4 + 3)
23
What does the commutative property do?
Change the order
What property is being shown: 8 x 1 = 8
Multiplication Property of One
Write the words as a numerical expression:
two times the difference of five and three
2 x (5-3)
What is the first calculation you should complete in the following expression:
7 + 2 - 4 + 12 + 3 - 2 + 8 - 9 ÷ 3 x 5
9 ÷ 3
(8 ÷ 4 x 2) + (3 x 4)
18
What does the associative property tell us
Change the grouping
What property is being shown: 3 x (20 + 4)
Distributive Property
What is the only number, when spelled out in English, is in alphabetical order?
Forty
What is the first calculation I should complete in the following expression:
(7 + 2 - 5) ÷ (5 - 4 + 9)
7 + 2
9 - 7 + 10 ÷ 5 x (9 - 1 x 4)
12
Use the distributive property to solve the following problem. Be sure to show your work:
8 x 43
8 x (40 +3)
(8 x 40) + (8 x 3)
320 + 24
=344
What property is being shown: 7 x 3 x 8 = 8 x 7 x 3
Commutative Property
What is the only number that cannot be represented by roman numerals?
Zero
What is the FULL phrase used to help us remember the order of operations?
Please Excuse My Dear Aunt Sally
23 + 8 x 4 - (12 x 5 - 5)
0
What is another name for the multiplication property of 1 and the addition property of zero?
Identity Property
Write an equivalent expression using the associative property:
(7 x 3) x 6
(3 x 6) X 7
(7 x 6) x 3
How many times does the number 5 appear when counting between 1 and 100.
20 times! 5, 15, 25, 35, 45, 50, 51, 52, 53, 54, 55 (two), 56, 57, 58, 59, 65, 75, 85, 95