CSA - Order of Operations

What is the correct order of operations?

• Parenthesis, multiply, divide, exponents, add, subtract

• exponents, add, subtract,Parenthesis, multiply, divide,

• Parenthesis, exponents, multiply, divide, add, subtract

• add, subtract, exponents, Parenthesis, multiply, divide,

Look at this expression.

Which statement has the same meaning as the expression?

4 x (49 + 20)

•  

  four more than the sum of forty-nine and twenty

  This is the result of adding four to the sum instead of multiplying by four

•  

  the sum of forty-nine and twenty multiplied by four

  This is the result of correctly interpreting the numerical expression into a statement

•  

  four more than the product of forty-nine and twenty

  This is the result of switching the addition and multiplication operations.

• 
  the product of four and forty-nine added to twenty

  This is the result of ignoring the parentheses and carrying out the multiplication first

Lucy bought 6 boxes of red licorice and 2 boxes of black licorice.  Each box of licorice has 8 pieces in it.  If Lucy wants to find the total number of licorice pieces she bought, which expression should she use?

• 6 + 2 + 8

• 6 x 2 x 8

• (6 + 2) x 8

• (6 x 2) + 8

For a field trip to the local zoo, Ms. Weathers created 6 groups.  Each group was comprised of 7 students and 2 adult chaperones.  Which expression could be used to find the total number of adults and students making the trip to the zoo?

• (6 + 7) x 2

• (6 x 7) + 2

• 6 + (7 x 2)

• 6 x (7 + 2)

Translate from English into a math expression

The sum of ten and four times eight

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Read the problem.

Samantha made 6 batches of chocolate cookies and 4 batches of peanut butter cookies.  If each batch makes one dozen cookies, how many cookies did she make in all?

Which expression should you use to solve this problem?

• 6 + 4

• 6 + 4 + 12

• 6 x 12

• (6 + 4) x 12

Which expression is equal to 14?

• 6 + (12 - 4)

• (6 + 4 0 -12

• 12 - (6 + 4)

• (12 - 6) + 4

Caroline made $50 babysitting.  She then spent $10 on candy.  After buying candy, she told her sister she would give her half of the money she had left.

Write an expression to show how much money Caroline's sister would get.

Her sister estimated that she would get $20.  Is her sister correct?  Explain your reasoning.

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