Expressions
Solve.
2(10c + 4d)
20c + 8d
True or False:
63 = 6 + 6 + 6
False
63 = 6 ⋅ 6 ⋅ 6
21
2
What is Order of Operations?
Order of operations are the rules that state the sequence in which the multiple operations in an expression should be solved.
53
125
Solve.
3(12a - 6)
36a - 18
True or False:
53 = 25 ⋅ 3
False
53 = 25 ⋅5
35
243
A popular mnemonic used to remember the order of operations -PEMDAS is ‘P____ E____ M_____ D____ A____ S____’.
‘Please Excuse My Dear Aunt Sally’
4 ⋅ 42
64
What's another way you could write an expression for:
6 + 6 + 6 + 6 + 6
6 x 5
(6 times 5)
Write an equivalent expression for:
63
6 ⋅ 6 ⋅ 6
36 ⋅ 6
23 + 32
8 + 9 = 17
A way to remember the order of the operations is PEMDAS, where in each letter stands for a mathematical operation.
What does each letter stand for?
P-Parentheses
E-Exponent
M-Multiplication
D-Division
A-Addition
S-Subtraction
62 ⋅ 4 + 10
154
Evaluate the expression when t = 6.
2(5t + t)
72
Write an equivalent expression for:
43 ⋅ 2
4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4
31 ⋅ 63
648
When addressing multiplication and division within an expression, which operation do you solve for first?
a.) always multiplication first!
b.) always division first!
c.) whichever comes first moving from left to right
d.) solve whichever by moving from right to left
Moving from left to right, multiply and/or divide whichever comes first.
(36 + 10) - (52 + 11)
10
Solve for t.
t3 = 729
t = 9
Write an equivalent expression for:
53 ⋅ 4
125 ⋅ 4
5 ⋅ 5 ⋅ 5 ⋅ 4
25 ⋅ 5 ⋅ 4
1002 + 201 ⋅ 23
10,160
Find the error:
6 x 3 + 4 x ( 9 ÷ 3 )
6 X 3 + 4 x ( 9 ÷ 3 )
18 + 4 x ( 9 ÷ 3 )
22 x ( 9 ÷ 3 )
198 ÷ 3
= 66 ✘
BONUS POINTS: What is the correct answer?
They did NOT solve for the parenthesis FIRST!
Parenthesis are the FIRST operation to look for in the order of operations!
BONUS ANSWER: 30
13 + (3 ⋅ 3 - 3) + 30 - 33
16