Order of Operations Dear Aunt Salley K. Hall
Mnemonic Devices A mnemonic device is something that we use to help us remember. For example ROY G BIV could be used to help someone remember the colors of the rainbow. Red, Orange, Yellow, Green, Blue, Indigo, Violet POW – Is used to remember the term Prisoner of War. K. Hall
PEMDAS Please Parenthesis Excuse Exponents My Multiplication Dear Division Aunt Addition Salley Subtraction K. Hall
Parenthesis ( 5 x 4) You solve whatever problem is in side the parenthesis first. K. Hall
Exponents An exponent is the number that tells how many equal factors there are. For example: 10 x 10 x 10 x 10 = 10 4 K. Hall
Multiplication OR Division You need to complete multiplication OR division which ever comes first in the problem. 5 x 4 + 7 -1 + 4 – 2 = 5 x 4 is going to be the first thing you solve in this problem because you solve multiplication or division which ever comes first in the problem. K. Hall
Addition OR Subtraction When you arrive at this step of the process you should not have any parenthesis, exponents, multiplication or division left in the problem. Solve addition or subtraction ONE AT A TIME which ever comes first in the problem. 12 + 7 – 5 + 13 19 – 5 + 13 14 + 13 = 27 K. Hall
Comparing The signs < and > are used to compare two things in math. > means greater than < means less than An easy way to remember these is that the alligator mouth will eat the bigger of the two things that you are comparing. K. Hall
Comparing Using The Order of Operations You can also compare numbers using the Order of Operations. You solve both sides of the problem using the order of operations and decide which number is greater when you complete the Order of Operations. For example: 2 + 5 – 3 + 5 (4 x 2) + 5 -1 7 - 3 + 5 8 + 5 – 1 4 + 5 13 – 1 9 < 12 K. Hall
Problem #1 27 – 13 + (6 x 2) – 5 = K. Hall
Problem #2 5 + (4 x 2) – 6 (4 x 3) - 7 What do I put in my clicker you ask? Answer: Put in the bigger of the two numbers. K. Hall
Problem #3 7 + 9 – 2 + (5 x 7) – (5 x 5) = K. Hall
Problem #4 (3 x 5) + (4 – 2) 17 + 5 – (4x5) K. Hall
Problem #5 (5 – 1) + (6 x 5) – 15 +6 = K. Hall