 ORDER OF OPERATIONS How to do a math problem with more than one operation in the correct order.

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ORDER OF OPERATIONS How to do a math problem with more than one operation in the correct order.

Student Expectation: 6 th Grade: 6.1.2E Use order of operations to simplify whole number expressions (without exponents) in problem solving situations. 6.1.2E Use order of operations to simplify whole number expressions (without exponents) in problem solving situations. 7 th Grade: 7.1.2E Simplify numerical expressions involving order of operations and exponents. 7.1.2E Simplify numerical expressions involving order of operations and exponents.

PEMDAS Remember the order by the phrase Remember the order by the phrase Please Please Excuse Excuse My Dear My Dear Aunt Sally Aunt Sally

The “P” and “E” The “P” stands for items in parenthesis The “P” stands for items in parenthesis Do all items in the parenthesis first Do all items in the parenthesis first The “E” stands for Exponents Do anything that has a exponent (power) 8282

The “MD” Represents Multiply and Divide Represents Multiply and Divide Do which ever one of these comes first in the problem Do which ever one of these comes first in the problem Work these two operations from left to right

The “AS” Represents Add and Subtract Represents Add and Subtract Do which ever one of these comes first Do which ever one of these comes first Work left to right Work left to right

1) 5 + (12 – 3) 5 + 9 5 + 9 14 14 2) 8 – 3 2 + 7 8 - 6 + 7 8 - 6 + 7 2 + 7 2 + 7 9 3) 39 ÷ (9 + 4) 39 ÷ 13 39 ÷ 13 3

4) 10 + 8 ÷ 2 – 6 10 + 4 - 6 10 + 4 - 6 14 - 6 14 - 6 8 5) 15 10 3 15 1,000 15 1,000 15,000 15,000 6) 36 ÷ (1 + 2) 2 36 ÷ 3 2 36 ÷ 3 2 36 ÷ 9 36 ÷ 9 4 7) 3 10 4 3 10,000 3 10,000 30,000 30,000

8) (5 – 1) 3 ÷ 4 4 3 ÷ 4 4 3 ÷ 4 64 ÷ 4 64 ÷ 4 16 16 9) 14 + 3(7 -2) – 2 5 14 + 3 5 - 2 5 14 + 3 5 - 2 5 14 + 15 - 2 5 14 + 15 - 2 5 14 + 15 – 10 14 + 15 – 10 29 – 10 29 – 10 19 19

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