# 6th Grade Math - Parentheses - PEMDAS

PEMDAS: Where do the parenthesis go?

2.8+5-3=2

9x0+5-3=4

### Comments for 6th Grade Math - Parentheses - PEMDAS

 Sep 08, 2011 Parentheses – PEMDAS - Puzzle by: Staff The question: PEMDAS: Where do the parenthesis go? 2.8+5-3=2 9x0+5-3=4 The answer: Problem 1: 2.8 + 5 - 3 = 2 To make this expression = 2, you must insert more than one set of parentheses: = 2((.8(+5) - 3)) You can now use PEMDAS to check the result, step by step: PEMDAS order tells you what to do first, second, . . . etc. PEMDAS order stands for: parentheses, exponents, multiplication, division, addition, subtraction You should begin by evaluating the expression inside each set of PARENTHESES There are THREE NESTED sets of PARETHESES. Begin by evaluating the INNERMOST PARENTHESES: (+5) = 5 The expression now looks like this: = 2((.8*5 - 3)) The original innermost parentheses has been replaced with *5. There are now only TWO NESTED sets of PARENTHESES. You should first evaluate the expression inside the INNERMOST PARENTHESES: = (.8*5 - 3) = (4 - 3) = (1) = 1 The expression now looks like this: = 2*1 The innermost parentheses has been replaced with *1. = 2*1 = 2 Summary: 2((.8(+5) - 3)) = 2 ------------------------------------------------------ Problem 2: 9x0 + 5 – 3 = 4 I couldn’t find any placement of parentheses which would equal 4. Is it possible that the = 4 should be = 42 ? If the = 4 is changed to = 42, the solution is as follows: 9*(0 + 5) - 3 = 42 As before, you can now use PEMDAS to check the result, step by step: You should begin by evaluating the expression inside each set of PARENTHESES There is only ONE set of PARENTHESES. = (0 + 5) = (+ 5) = (5) = 5 The expression now looks like this: = 9*5 - 3 = 4 When you apply PEMDAS to this expression, the multiplication must be completed before the subtraction: = 45 - 3 = 42 Summary: 9*(0 + 5) - 3 = 42 Thanks for writing. Staff www.solving-math-problems.com

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