Order of Operations with Integers

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Presentation transcript:

Order of Operations with Integers SWBAT simplify expressions involving integers using the order of operations

Review – Order of Operations M D A S Parenthesis Any grouping symbol, ( ), [ ], { } Exponents Repeated Multiplication 23 Multiplication and Division From left to right Addition and Subtraction

Integer rules Adding Subtracting Multiplying/Dividing Same signs – add the digits and keep the sign Different signs – subtract the absolute values and keep the sign of the number with the larger absolute value Subtracting Rewrite as addition by using the opposite of the subtrahend Multiplying/Dividing Even number of negatives – answer is positive Odd number of negatives – answer is negative How do you think integers will affect order of operations? Keep the same order, and remember your rules

Examples -4[6 + (8 – 5)2] 4 x {[6 – (-4)]2 x 15} + (-5) 16 – (-279) ÷ 31 -16 – 4 (1 + 1)2 24(-36 + 45) – (-21) – 38 x 3

Do the Try these problems on your paper -62 – 84 ÷ -4 + 33 -62 + (-84) ÷ -4 + 33 -62 + 21 + 33 -41 + 33 -8 -92 · (-91 + 93) ÷ -23 -92 · 2 ÷ -23 -46 ÷ -23 2 71 + (-175) – 56 ÷ -8 71 + (-175) + -56 ÷ -8 71 + (-175) + 7 -104 + 7 -97 3 · -16 – 362 ÷ -12 3 · -16 + -362 ÷ -12 3 · -16 + -1296 ÷ -12 -48 + -1296 ÷ -12 -48 + 108 60

Exit Ticket On a scrap paper solve the following expression using the order of operations. You may not leave until you have completed and handed in the following problem. Watch your signs and show your steps. 7 – (-9 – 5) · 22