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# Order of operations

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### Order of operations

1. 1. ORDER OFORDER OF OPERATIONSOPERATIONS NOTES & PRACTICE PROBLEMSNOTES & PRACTICE PROBLEMS Mr.SaucedoMr.Saucedo
2. 2. 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
3. 3. ParenthesisParenthesis Example: ( )Example: ( ) They serve to group expressions.They serve to group expressions.
4. 4. 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.
5. 5. 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
6. 6. 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 _____
7. 7. ADDITIONADDITION To increase, to build, to make bigger.To increase, to build, to make bigger. Symbol: +Symbol: +
8. 8. SUBTRACTIONSUBTRACTION To reduce, to make smaller.To reduce, to make smaller. Symbol: -Symbol: -
9. 9. 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
10. 10. 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
11. 11. 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
12. 12. 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.