Order of Operations

Pre-Algebra Tutorial

Order of Operations

Intro

Reviewing basic arithmetic: addition, subtraction, multiplication, division.
Reviewing upper level arithmetic: parentheses, exponents

Sample Problem

A.
5 + 6 x 10 =

B.
(5+6-7)-3^2 =

C.
(11/44)4 =

D.
1^9 + 1^9 + 1^9 =

E.
(30 x 30)^3 – (15/5)^5 =

Solution

A.
5 + 6 x 10 =
11 x 10 =
11 x 10 = 110

B.
(5+6-7)-3^2 =
(11-7)-9 =
(4)-9 =
4-9 = -5

C.
(11/44)4 =
(1/4)4 =
1/4 x 4 = 1

D.
1^9 + 1^9 + 1^9 =
1 + 1 + 1 =
1 + 1 + 1 = 3

E.
(30 x 30)^3 – (15/5)^5 =
(900)^3 – (3)^5 =
729,000,000 – 243 = 728,999,757



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