Orders of Operations PEMDAS PEMDAS DO YOU STILL

Orders of Operations PEMDAS

• PEMDAS • DO YOU STILL REMEMBER THE FAMOUS “PEMDAS” PHRASE? Please Excuse My Dear Aunt Sally • Parenthesis • Exponent • Multiplication • • Division • Addition • Subtraction • 3/9/2021 www. numberbender. com 2

The “P” and “E” P Which means to do all the items in the PARENTHESIS first. Which means to do anything that has an exponent. E (3+4) + (5 -2) = 10 (14 -6) - (12 -5) = 1 3/9/2021 www. numberbender. com 23 = 8 42 = 16 3

The “M” and “D” MD 3/9/2021 Represents MULTIPLY and DIVIDE Do whichever comes first in the problem (12÷ 3 x 2) + (2 x 3÷ 2) = 11 (24÷ 4 x 2) - (4 x 5÷ 2) = 2 www. numberbender. com 4

The “A” and “S” AS Represents ADDITION and SUBTRACTION Do whichever comes first in the problem and you can work from left to right 3+4 -2+6+2= 13 3/9/2021 www. numberbender. com 5

PEMDAS = = ( 20 - 4 x 3 + 4 ) ( 20 - 12 + 4 ) (8+4) 12 22 3/9/2021 + + ( 5 + 20 ÷ 22 ) ( 5 + 20 ÷ 4 ) (5+5) 10 www. numberbender. com 6

Practice Exercises 1. 5 + (12 – 3) =5+9 = 14 2. 8 – 3 × 2 + 7 =8– 6+7 =2+7 =9 3. 39 ÷ (9 + 4) = 39 ÷ 13 =3 4. 10 + 8 ÷ 2 – 6 = 10 + 4 – 6 = 14 – 6 =8 3/9/2021 www. numberbender. com 7

Practice Exercises 5. 15 × 103 = 15, 000 6. 36 ÷ (1 + 2)2 =4 7. 3 × 104 = 30, 000 8. (5 – 1)3 ÷ 4 = 16 9. 14 + 3(7 -2) – 2 × 5 = 19 3/9/2021 www. numberbender. com 8

Classwork Answer the following problems: 1. (2+3) - (7 -5) + (6 -3) = 6 2. (5 -3)2 + (12÷ 4+2) - (2+ 3 x 4 - 5) = 0 3. (32 + 4) - (25÷ 5 -2) + (2+3) = 15 4. (22 +1)2 + (100÷ 5+3) + (12÷ 3 -3) = 49 3/9/2021 www. numberbender. com 9