Compass Math Sample
• 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 ![]() 2) Evaluate multiplications and divisions ![]() 3) Evaluate additions and subtractions ![]() Ex.: Evaluate: 4 + 3 · 2 3 – 2 · 3 2 1) Evaluate exponents ![]() 2) Evaluate multiplications and divisions ![]() 3) Evaluate additions and subtractions ![]() 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
FRACTIONS
Adding Subtracting
Multiplying Dividing |
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DECIMALS Adding Subtracting
Multiplying
Dividing Converting Fractions , Decimals, and Percents
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PERCENTS
Solving for Percent (%)
Solving for Whole |
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PROPORTIONS
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SOLVING EQUATIONS |
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