Order of Operations
Parentheses or exponents first?
Parentheses
35 in standard form and expanded form
Standard: 243
Expanded: 3x3x3x3x3
1/2 x 5/9
5/18
The last pair of operations in PEMDAS
Addition and Subtraction
4(x) =20
What is x?
5
Which one last: addition or multiplication?
Addition
94 in standard form
6,561
9,174/33=
278
The first pair of operations in PEMDAS
Parentheses and Brackets
96-y=65
What is y?
31
Subtraction or division first?
Division
The first step you would do to get the standard form of 45
4x4
(Then 16x4, so on and so forth)
990/55
18
The one operation in PEMDAS without an inverse or pair
Exponents
24-3 - (9x2) x 5=
90
Which one first:multiplication or division?
(if both are in the same problem)
It depends, go left to right
128+52 in standard form
429,981,721
67x82
5,494
The two pairs of operations in PEMDAS
Multiplication and Division
Addition and Subtraction
25 + 4u x 9
u=10
What is the answer?
385
Do brackets or parentheses come first in an algebra equation?
The parentheses inside of the brackets come first.
(So the answer is parentheses)
75 + 36 x 94 in standard form
4,799,776
95=
59,049
The parentheses outside of parentheses
Brackets
72/9 x [(14+12)x(25-9)] + 67=
5,195