Order of Operations
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The document discusses the order of operations, which is a set of rules for the order in which mathematical operations should be performed in a problem containing multiple operations. It states that parentheses, exponents, multiplication, division, addition and subtraction should be performed in that order, from innermost to outermost. It then provides examples of evaluating expressions using the proper order of operations.
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Order of Operations
- 1. When an expression has more than one operation, you must know which operation to do first. To make sure that everyone gets the same answer, we use the order of operations.
- 2. Helpful Hint The first letters of these words can help you remember the order of operations. Please Parentheses Excuse Exponents My Multiply Dear Divide Aunt Add Sally Subtract
- 3. There are no parentheses or exponents. Divide. Subtract. Additional Example 1A: Using the Order of Operations Evaluate the expression. 15 – 10 ÷ 2 15 – 10 ÷ 2 15 – 5 10
- 4. Perform operations within parentheses. Multiply. Add. Additional Example 1B: Using the Order of Operations Evaluate the expression. 9 + (21 ÷ 7) 5 9 + (21 ÷ 7) 5 9 + 3 5 9 + 15 24
- 5. There are no parentheses or exponents. Divide. Subtract. Check It Out: Example 1A Evaluate the expression. 12 – 6 ÷ 2 12 – 6 ÷ 2 12 – 3 9
- 6. Perform operations within parentheses. Multiply. Add. Check It Out: Example 1B Evaluate the expression. 7 + (24 ÷ 6) 3 7 + (24 ÷ 6) 3 7 + 4 3 7 + 12 19
- 7. 2 + 6 4 4 There are no parentheses. Multiply. Add. Find the value of the number with the exponent. Additional Example 2A: Using the Order of Operations with Exponents Evaluate the expression. 24 + 6 4 16 + 6 4 16 + 24 40
- 8. 24 ÷ (9 – 6) 32 – 10 24 ÷ 3 32 – 10 24 ÷ 3 9 – 10 Perform operations within parentheses. Multiply. Divide. Find the value of the number with the exponent. Subtract. Additional Example 2B: Using the Order of Operations with Exponents Evaluate the expression. 24 ÷ (9 – 6) 32 – 10 8 9 – 10 72 – 10 62