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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

FRACTIONS

Adding

Subtracting


Multiplying

Dividing

DECIMALS

Adding

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

 
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