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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 exponents3 + 2 · 6 (no exponents) 2) Evaluate multiplications and divisions 3 + 12 3) Evaluate additions and subtractions15 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 
Math Samples Answer Key
Adding
Subtracting
Multiplying Dividing 

DECIMALS Adding Subtracting
Multiplying
Dividing Converting Fractions , Decimals, and Percents


PERCENTS
Solving for Percent (%)
Solving for Whole 

PROPORTIONS


SOLVING EQUATIONS  



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