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ORDER OFORDER OF
OPERATIONSOPERATIONS
NOTES & PRACTICE PROBLEMSNOTES & PRACTICE PROBLEMS
Mr.SaucedoMr.Saucedo
Warm-upWarm-up
Do the following three problems on yourDo the following three problems on your
journal:journal:
1.1. 3232 ÷ 2÷ 233
+ 6+ 6
2.2. 2 + 4 ÷ 2 (4) + 1 + 32 + 4 ÷ 2 (4) + 1 + 3
ParenthesisParenthesis
Example: ( )Example: ( )
They serve to group expressions.They serve to group expressions.
ExponentsExponents
Example: 2Example: 244
They tell how many times the base isThey tell how many times the base is
multiplied by itself.multiplied by itself.
MultiplicationMultiplication
Multiplication can be represented in variousMultiplication can be represented in various
ways:ways:
2 x 5 = 2(5) = (2)(5) = (2)5 = 22 x 5 = 2(5) = (2)(5) = (2)5 = 2·5·5
DIVISIONDIVISION
Divide something into parts.Divide something into parts.
Division can be written with the followingDivision can be written with the following
symbols:symbols:
- a/b or aa/b or a÷b or _____÷b or _____
ADDITIONADDITION
To increase, to build, to make bigger.To increase, to build, to make bigger.
Symbol: +Symbol: +
SUBTRACTIONSUBTRACTION
To reduce, to make smaller.To reduce, to make smaller.
Symbol: -Symbol: -
NOTESNOTES
When evaluating a long expression,When evaluating a long expression,
solve in the following order:solve in the following order:
PP – Parenthesis first– Parenthesis first
EE - Exponents- Exponents
MM - Multiplication- Multiplication
DD - Division- Division
AA - Addition- Addition
SS - Subtraction- Subtraction
GUIDED PRACTICEGUIDED PRACTICE
Evaluate the following expressions:Evaluate the following expressions:
1. 21. 2 · 3· 322
+ 4+ 4 2. (3 / 4)(13 - (2 + 3))2. (3 / 4)(13 - (2 + 3))22
CHECKPOINTCHECKPOINT
EVALUATE:EVALUATE:
1.1. 2727 ÷ 3÷ 322
· 2 – 3· 2 – 3
2.2. 2(30 – (8 + 13))2(30 – (8 + 13))
3.3. 24 – (324 – (322
+1)+1)
4.4. __9x____9x__ , when x = 4., when x = 4.
3x + 23x + 2
QUESTIONS??QUESTIONS??
INDEPENDENT WORK:INDEPENDENT WORK:
Algebra 1 book, page 10.Algebra 1 book, page 10.
Problems: 4, 8, 14, 16, 19, 24, 30, 31.Problems: 4, 8, 14, 16, 19, 24, 30, 31.

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