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Order of Operations with Integers

Order of Operations with Integers. Review of PEMDAS. P: Parentheses or any kind of grouping symbols. E: Exponents. MD: Multiplication and Division from left to right in the problem. AS: Addition and Subtraction from left to right in the problem. Example #1. -9 + 2(-3). -9 + -6 -15.

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Order of Operations with Integers

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  1. Order of Operations with Integers

  2. Review of PEMDAS P: Parentheses or any kind of grouping symbols E: Exponents MD: Multiplication and Division from left to right in the problem AS: Addition and Subtraction from left to right in the problem

  3. Example #1 -9 + 2(-3) -9 + -6 -15 With PEMDAS, multiplication happens before addition.

  4. Example #2 (3 + -5)(-6 – 2) (3+ -5)(-6 + -2) (-2)(-8) 16 Following the order of operations, simplify what is inside each set of parentheses before you multiply.

  5. Example #3 -5(-3)2 (-3)² = -3(-3) = 9 -5(9) -45 Simplify the exponent first, then multiply.

  6. Example #4 -10(-4) – 8(-3) 40 – -24 40 + 24 64 Complete all multiplications, then subtract.

  7. Example #5 9 + 7(-8 – –2) 9 + 7(-8 + 2) 9 + 7(-6) 9 + -42 -33 Simplify the parentheses. Multiply. Add.

  8. Example #6 -2(-11 – 4) ÷ 5(-3) -2(-11 + -4) ÷ 5(-3) -2(-15) ÷ 5(-3) 30÷ 5(-3) 6(-3) -18 Be careful here! Simplify what is in the parentheses first. Multiply and divide from left to right.

  9. Example #7 -3 [14 – 7(3)]2 -3 [14 – 21]2 -3 [14 + -21]2 -3 [-7]2 -3 [49] -147 (-7)² = -7(-7) = 49 Simplify what is in the parentheses. Work your way from the inside out. Simplify the exponent. Multiply.

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