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1-4: Order of Operations. http://studyjams.scholastic.com/studyjams/jams/math/algebra/aorder-of-operations.htm. G. E. M. D. LEFT TO RIGHT. A. S. P: ( ) [ ] E: exponents M: x D: A: + S:. k. Order of Operations. Where do I start?.
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http://studyjams.scholastic.com/studyjams/jams/math/algebra/aorder-of-operations.htmhttp://studyjams.scholastic.com/studyjams/jams/math/algebra/aorder-of-operations.htm
G E M D LEFT TO RIGHT A S
P: ( ) [ ] E: exponents M: x D: A: + S:
Order of Operations Where do I start?
You evaluate an expression by finding its value..."working the problem" Jack and Jill were asked to evaluate the expression 3 + 4 x 2 and got different answers! 11 14
Jack explained how he got his answer.... 3 + 4 x 2 = 7 x 2 = 14
Jill explained how she got her answer.... 3 + 4x 2 = 3 + 8 = 11
To make sure everyone gets the same results, mathematicians have agreed on a set of rules called the order of operations.
Let's solve numeric expressions! Hi, Aunt Sally! Thank you for coming to teach us about solving expressions today.How was your trip here? Pull or click the arrows to learn about my trip here and the Order of Operations Pull Me!
Paralleled perilous poles Evaded enraged elephants Manipulated and dodged multiple trees and divides as they appeared Ambled swiftly around snakes and army ants Please Excuse My Aunt Dear Sally 3 For Looking Too Rough From Left To Right
23 + (6-3) x 4 ÷ 2+8= These bars look like parenthesis! Take care of whatever is inside of these first, then set the problem back up. There may be more than one set in an expression. 23 + 3 x 4 ÷ 2+8=
Aunt Sally to the Elephant power! 23 + (6-3) x 4 ÷ 2+8= 23 + 3 x 4 ÷ 2+8= 2x2x2 Next, simplify any exponents (powers) in the expression by performing repeated multiplication. The tiny number tells you how many times a number is multiplied by itself. 8 + 3 x 4 ÷ 2+8= 3 Click here!
23 + (6-3) x 4 ÷ 2+8= 23 + 3 x 4 ÷ 2+8= 8 + 3 x 4 ÷ 2+8= Then, divide or multiply from left to right. Solve one problem before answering the next! 8 + 12 ÷ 2+8= 8 + 6 +8=
23 + (6-3) x 4 ÷ 2+8= 23 + 3 x 4 ÷ 2+8= Finally, subtract and add any remaining facts as they appear from left to right. 8 + 3 x 4 ÷ 2+8= 8 + 12 ÷ 2+8= 8 + 6 +8= 8 + 6 + 8= 14 + 8= =22 From Left To Right Will lead you to the correct answer!
Jack and Jill were asked to evaluate the expression 3 + 4 x 2 14 11 So, who was right?
What Does PEMDAS stand for? P arenthesis E xponents M ultiplication D ivision A ddition S ubtraction
Explore... Drag the step into the table to work your way through the end of each row to reveal the value of the expression. add or subtract multiply or divide multiply or divide evaluate inside parentheses multiply or divide add or subtract evaluate powers evaluate inside parentheses multiply or divide
Solve these expressions using the rules we just learned. How did order affect the results? 144 - (7 x 12) = (144 - 7) x 12 = 144 - 84 = 60 137 x 12 = 1644 Pull Pull Pull Pull (7 x 12) + 144 = 7 + 144 x 12 = 84 + 144 = 228 7 + 1728 = 1735 Pull Pull Pull Pull Please Aunt Excuse My 3 Dear Sally
Practice Questions 13 1. 32 + 4 3. (3x5) + (6/2)18 4. 22 + 5 x 2 14 6. 3 x (22 + 1) 15 7. (8 - 3 ) x 2 + 1020 8. (5-1)2 + 4 -2 x 1 18 9. 10 / 5 - 2 + 1010 10. (52 + 4) - 10 19
Ch 1-4 Grade: «grade» «subject» Subject: «date» Date: