# Need Correct Solution - Arithmetic Expression

by Carol
(Kerrville, TX)

Evaluate Arithmetic Expression

7+7 divided by 7+7×7-7

I can't find the division symbol on my keyboard. I believe the answer is 0.
7+7 is 14, divided by 7+7 (14) = 1 × 7-7 (0) = 0
or 7+7 (14) divided by 7 = 2 + 7×7 (49)= 51- 7 = 44

### Comments for Need Correct Solution - Arithmetic Expression

 May 23, 2013 Evaluate Expression by: Staff Answer Part I The answer: There are two keys to understanding how to evaluate this expression: - Use the PEMDAS order of operations. PEMDAS tells you exactly what parts of the expression to evaluate first, second, . . and so on. PEMDAS order stands for evaluating this expression in the following order: parentheses, exponents, multiplication, division, addition, subtraction Following PEMDAS order works exactly the same way following a set of directions to a friend's house works. When you do not know your friend's home address you must follow the directions you have - exactly. Without following the directions to the letter you will not arrive at the correct destination. No deviations are allowed. You cannot challenge the directions. You cannot make up your own directions. This is similar to trying to solve the expression 7+7 divided by 7+7×7-7. Since you do not know the answer in advance, you must follow the only directions you have: PEMDAS. Follow the PEMDAS directions as if you are a robot with no thought of your own, blindly following a computer algorithm. - If parts of the expression are unclear after applying PEMDAS order, read from left to right. Applying PEMDAS order to your expression: --------------------------------------------------------

 May 23, 2013 Evaluate Expression by: Staff -------------------------------------------------------- Part II Step 1: evaluate the expression inside PARENTHESES first (always first) PEMDAS order of evaluation: parentheses, EXPONENTS, multiplication, division, addition, subtraction There are no expressions enclosed within parentheses. Step 2: evaluate all EXPONENTS second (always second) PEMDAS order of evaluation: parentheses, EXPONENTS, multiplication, division, addition, subtraction There are no exponents to evaluate. --------------------------------------------------------

 May 23, 2013 Evaluate Expression by: Staff -------------------------------------------------------- Part III Step 3: MULTIPLICATION (note that multiplication must be completed before addition or subtraction) PEMDAS order of evaluation: parentheses, exponents, MULTIPLICATION, division, addition, subtraction 7 + 7 / 7 + 7 × 7 - 7 DON'T try to DO SOMETHING ELSE FIRST, such as 7 - 7. Remember, you are following the PEMDAS rules like a robot, blindly following the tasks in order. You may disagree with PEMDAS. You may have rules that make more sense to you. However, you are wrong. Your rules do not matter. You must follow the PEMDAS directions exactly to arrive at the correct answer. 7 + 7 / 7 + 7 × 7 - 7 After completing the multiplication, the expression looks like this: 7 + 7 / 7 + 49 - 7 Step 4: DIVISION PEMDAS order of evaluation: parentheses, exponents, multiplication, DIVISION, addition, subtraction 7 + 7 / 7 + 49 - 7 After completing the division, the expression looks like this: 7 + 1 + 49 - 7 --------------------------------------------------------

 May 23, 2013 Evaluate Expression by: Staff -------------------------------------------------------- Part IV Step 5: evaluate ADDITION & SUBTRACTION PEMDAS order of evaluation: parentheses, exponents, multiplication, division, ADDITION, SUBTRACTION 7 + 1 + 49 - 7 The final answer is: 50 This problem illustrates how important it is to include parentheses to clarify the order of operations. To ensure every reader understands the expression, it should have been written 7 + (7 / 7) + (7 × 7) - 7 Instead of 7+7/7+7×7-7 The entire simplification process is illustrated below: 7 + 7 / 7 + 7 × 7 - 7 = 7 + 7 / 7 + 49 - 7 = 7 + 1 + 49 - 7 = 50 ----------------------------------------------------- You can CHECK YOUR WORK with a SMART CALCULATOR (formula calculator). A "Smart" Calculator (Formula Calculator) automatically takes into account PEMDAS order. The person using the calculator does not need to be concerned about which numbers to evaluate 1st, 2nd, 3rd, etc. --------------------------------------------------------

 May 23, 2013 Evaluate Expression by: Staff -------------------------------------------------------- Part V Click the following link to download a Free Smart Calculator: FREE SMART CALCULATOR (automatically takes PEMDAS into account) Input the entire expression "exactly" as you submitted it to me: 7+7/7+7×7-7 You will see that a smart calculator it will automatically calculate the proper answer using the correct PEMDAS order. You still need to know and understand how PEMDAS works because you will use variables (instead of numbers) in your classes. For example, simplify the expression: x + y²[3 + (22x - 40)] – 15x/3 A step-by-step simplification looks like this: x + y²[3 + (22x - 40)] - 15x/3 = x + y²[3 + 22x - 40] - 15x/3 = x + y²[22x + 3 - 40] - 15x/3 = x + y²[22x - 37] - 15x/3 = x + y²*22x - y²*37 - 15x/3 = x + 22xy² - 37y² - 15x/3 = x - 15x/3 + 22ay² - 37y² = x - 5x + 22xy² - 37y² = -4x + 22xy² - 37y² x + y²[3 + (22x - 40)] - 15x/3 = -4x + 22xy² - 37y² In this case you can CHECK YOUR WORK with an ALGEBRA CALCULATOR. Click either one of the following links to download a FREE ALGEBRA CALCULATOR from Microsoft. This calculator will automatically take PEMDAS into account for an algebraic expression: FREE ALGEBRA CALCULATOR OR FREE ALGEBRA CALCULATOR Thanks for writing. Staff www.solving-math-problems.com

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 Nov 02, 2015 Arithmetic Expression by: Anonymous We're a group of volunteers and starting a new scheme in our community. Your website provided us with valuable information to work on. You've done a formidable job and our entire community will be thankful to you. Addison

 Oct 09, 2016 your method for PEMDAS is wrong NEW by: Anonymous First you do Parenthesis then you do Exponent. You said that correctly.But, it is Multiplication or Division whichever comes first. Same thing for Addition and Subtraction.