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Name _______________________________________ Date _________________________
Mrs. Labuski / Mrs. Portsmore Period _____              Lesson 1-4 Order of Operations
                      Essential Question: What information and strategies
                          would you use to solve a multi-step problem?
    Word                    Definition                       Example

  numerical
  expression


   evaluate


      sum


  difference


    product


     factor


   quotient


   order of
  operations
P _____________________________________
E _____________________________________
M_________________ or D___________________
          Whichever comes first from left to right!



A_________________ or S____________________
          Whichever comes first from left to right!




                                                      Let’s try one together!

                                                      8 ÷ (1+3) x 52 - 2

                                              ________________________

                                              ________________________

                                              ________________________

                                              ________________________

                                              ________________________
Evaluate each expression.
1. 7 • (12 + 8) – 6       2. 10 • (12 + 34) + 3        3.10 + (6 • 5) – 7

7 • _________– 6            10 • _______ + 3           10 + ____ – 7

  _________– 6                   _________+3                 ______– 7




4. 23+ (10 – 4)            5. 7 + 3 • (8 + 5)          6.36 ÷ 4 + 11 • 8




7. 52- (2 • 8) + 9   8. 3 • (12 ÷ 4) - 22         9.(33+ 10) – 2
Name _______________________________________ Date _________________________
Mrs. Labuski / Mrs. Portsmore Period _____            Lesson1-4 Order of Operations
    Essential Question: What information and strategies would you use to solve a multi-step
                                           problem?
     Word                        Definition                          Example
                        a mathematical phrase that                  4+8÷2•6
  numerical
                        includes only numbers and
  expression
                            operation symbols                      371 – 203 + 2

                      to find the value of a numerical
    evaluate                                                          3+2=5
                                 expression

                       the result when two or more                   3+2=5
      sum
                            numbers are added                       5 is the sum

                      the result when one number is                    6–4=2
   difference
                         subtracted from another                 2 is the difference

                       the result when two or more                    3•2=6
    product
                         numbers are multiplied                   6 is the product

                                                                      3•2=6
                      a number that is multiplied by
     factor                                                        3 and 2 are the
                     another number to get a product
                                                                       factors

                      the result when one number is                   6÷3=2
    quotient
                            divided by another                    2 is the quotient

                      when an expression has more
   order of                                                        See examples
                      than one operation, you must
  operations                                                          below
                     know which operation to do first
Parenthesis_________________________________
Exponents_________________________________
Multiplication____ or Division_____________
           Whichever comes first from left to right!



Addition_________ or Subtraction__________
          Whichever comes first from left to right!




                                                      Let’s try one together!
                                                        8 ÷ (1+3) x 52– 2

                                              8÷ 4 x 52–2 {parenthesis first}

                                            8÷ (4) x 25– 2 {exponents second}

                                                  2 x25– 2 {division next}

                                                50– 2 {multiplication next}

                                                       48{subtraction last}
Evaluate each expression.
1. 7 • (12 + 8) – 6       2. 10 • (12 + 34) + 3            3.10 + (6 • 5) – 7

      7 • 20– 6             10 • 46 + 3                    10 + 30 – 7

      140– 6                      460+3                         40– 7

      134                         463                           33



4. 23+ (10 – 4)            5. 7 + 3 • (8 + 5)              6.36 ÷ 4 + 11 • 8

      23 + 6                      7 + 3 • 13                    9 + 11 • 8

      8+6                         7 • 39                        9 + 88

      14                           46                               97

7. 52- (2 • 8) + 9   8. 3 • (12 ÷ 4) - 22            9.(33+ 10) – 2

52– 16 + 9           3 • 3 - 22                 (27 + 10) – 2

  25 – 16 + 9              3 • 3– 4                        37 - 2

    9+9                           9–4                               35

      18                           5

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4 lesson 1 4 order of operations

  • 1. Name _______________________________________ Date _________________________ Mrs. Labuski / Mrs. Portsmore Period _____ Lesson 1-4 Order of Operations Essential Question: What information and strategies would you use to solve a multi-step problem? Word Definition Example numerical expression evaluate sum difference product factor quotient order of operations
  • 2. P _____________________________________ E _____________________________________ M_________________ or D___________________ Whichever comes first from left to right! A_________________ or S____________________ Whichever comes first from left to right! Let’s try one together! 8 ÷ (1+3) x 52 - 2 ________________________ ________________________ ________________________ ________________________ ________________________
  • 3. Evaluate each expression. 1. 7 • (12 + 8) – 6 2. 10 • (12 + 34) + 3 3.10 + (6 • 5) – 7 7 • _________– 6 10 • _______ + 3 10 + ____ – 7 _________– 6 _________+3 ______– 7 4. 23+ (10 – 4) 5. 7 + 3 • (8 + 5) 6.36 ÷ 4 + 11 • 8 7. 52- (2 • 8) + 9 8. 3 • (12 ÷ 4) - 22 9.(33+ 10) – 2
  • 4. Name _______________________________________ Date _________________________ Mrs. Labuski / Mrs. Portsmore Period _____ Lesson1-4 Order of Operations Essential Question: What information and strategies would you use to solve a multi-step problem? Word Definition Example a mathematical phrase that 4+8÷2•6 numerical includes only numbers and expression operation symbols 371 – 203 + 2 to find the value of a numerical evaluate 3+2=5 expression the result when two or more 3+2=5 sum numbers are added 5 is the sum the result when one number is 6–4=2 difference subtracted from another 2 is the difference the result when two or more 3•2=6 product numbers are multiplied 6 is the product 3•2=6 a number that is multiplied by factor 3 and 2 are the another number to get a product factors the result when one number is 6÷3=2 quotient divided by another 2 is the quotient when an expression has more order of See examples than one operation, you must operations below know which operation to do first
  • 5. Parenthesis_________________________________ Exponents_________________________________ Multiplication____ or Division_____________ Whichever comes first from left to right! Addition_________ or Subtraction__________ Whichever comes first from left to right! Let’s try one together! 8 ÷ (1+3) x 52– 2 8÷ 4 x 52–2 {parenthesis first} 8÷ (4) x 25– 2 {exponents second} 2 x25– 2 {division next} 50– 2 {multiplication next} 48{subtraction last}
  • 6. Evaluate each expression. 1. 7 • (12 + 8) – 6 2. 10 • (12 + 34) + 3 3.10 + (6 • 5) – 7 7 • 20– 6 10 • 46 + 3 10 + 30 – 7 140– 6 460+3 40– 7 134 463 33 4. 23+ (10 – 4) 5. 7 + 3 • (8 + 5) 6.36 ÷ 4 + 11 • 8 23 + 6 7 + 3 • 13 9 + 11 • 8 8+6 7 • 39 9 + 88 14 46 97 7. 52- (2 • 8) + 9 8. 3 • (12 ÷ 4) - 22 9.(33+ 10) – 2 52– 16 + 9 3 • 3 - 22 (27 + 10) – 2 25 – 16 + 9 3 • 3– 4 37 - 2 9+9 9–4 35 18 5