 # Compass Math Sample

ORDER OF OPERATIONS

 • To evaluate an expression , use the following steps in order: 1) Evaluate numbers with exponents 2) Perform multiplication and division in order from left to right 3) Perform additions and subtractions in order from left to right • This can be more simply written as: 1) Exponents 2) Multiplication and division 3) Additions and subtractions Ex.: Evaluate: 3 + 2 · 6 1) Evaluate exponents 3 + 2 · 6 (no exponents) 2) Evaluate multiplications and divisions 3 + 12 3) Evaluate additions and subtractions 15 Ex.: Evaluate: 4 + 3 · 2 3 – 2 · 3 2 1) Evaluate exponents 4 + 3 · 8 – 2 · 9 2) Evaluate multiplications and divisions 4 + 24 – 18 3) Evaluate additions and subtractions 10 Rules of Order Please Excuse My Dear Aunt Sally 1) Parentheses 2) Exponents 3) Multiplication and/or division from left to right 4) Addition and/or Subtraction from left to right Parentheses to Change the Order of Operations: One of the main uses of parentheses in math is to change the order in which operations are performed. • Evaluate operations inside the parentheses first. Ex.: Evaluate: 3 + 2 · (4 + 5) 1) Evaluate parentheses 3 + 2 · 9 2) Evaluate order of operations 3 + 18 = 21 Ex.: Evaluate: (3 + 4)(3 + 2 · 4) 1) Evaluate parentheses (3 + 4)(3 + 8) 2) Evaluate order of operation 7 · 11 = 77 FRACTIONS Subtracting  Multiplying Dividing DECIMALS Subtracting  Multiplying  Dividing Converting Fractions , Decimals, and Percents

 Decimal Fraction Percent PERCENTS

Solving for Part Solving for Percent (%)  Solving for Whole PROPORTIONS  SOLVING EQUATIONS ADDING SIGNED NUMBERS SUBTRACTING SIGNED NUMBERS MULTIPLYING SIGNED NUMBERS DIVIDING SIGNED NUMBERS EXPONENTS MULTIPLYING MONOMIALS DIVIDING MONOMIALS PARENTHESES Prev Next