{
 "source": "https://peabody.kids/flashcards/math-order-of-operations",
 "id": "math-order-of-operations",
 "title": "Order of Operations (PEMDAS)",
 "category": "math",
 "subject": "Math",
 "levels": [
  "3-5",
  "6-8"
 ],
 "description": "The order to do operations in, with practice expressions.",
 "tags": [
  "order of operations",
  "PEMDAS"
 ],
 "frontLabel": "Question",
 "backLabel": "Answer",
 "cards": [
  [
   "What does PEMDAS stand for?",
   "Parentheses, Exponents, Multiplication and Division, Addition and Subtraction",
   "Please Excuse My Dear Aunt Sally"
  ],
  [
   "What does BODMAS stand for?",
   "Brackets, Orders, Division and Multiplication, Addition and Subtraction"
  ],
  [
   "Which comes first, parentheses or exponents?",
   "Parentheses"
  ],
  [
   "Which is done first, multiplication or division?",
   "Whichever comes first, going left to right"
  ],
  [
   "Which is done first, addition or subtraction?",
   "Whichever comes first, going left to right"
  ],
  [
   "Is multiplication always done before division?",
   "No. They have equal rank; work left to right"
  ],
  [
   "2 + 3 × 4",
   "14"
  ],
  [
   "(2 + 3) × 4",
   "20"
  ],
  [
   "10 − 2 × 3",
   "4"
  ],
  [
   "(10 − 2) × 3",
   "24"
  ],
  [
   "8 ÷ 2 × 4",
   "16"
  ],
  [
   "8 ÷ (2 × 4)",
   "1"
  ],
  [
   "12 − 4 + 2",
   "10"
  ],
  [
   "12 − (4 + 2)",
   "6"
  ],
  [
   "3² + 4",
   "13"
  ],
  [
   "3 × 2²",
   "12"
  ],
  [
   "(3 × 2)²",
   "36"
  ],
  [
   "5 + 2³",
   "13"
  ],
  [
   "20 ÷ 5 + 3",
   "7"
  ],
  [
   "20 ÷ (5 + 3)",
   "2.5"
  ],
  [
   "6 + 4 ÷ 2",
   "8"
  ],
  [
   "(6 + 4) ÷ 2",
   "5"
  ],
  [
   "2 × (3 + 4) − 5",
   "9"
  ],
  [
   "18 ÷ 3 × 2",
   "12"
  ],
  [
   "7 − 3 × 2 + 1",
   "2"
  ],
  [
   "4 + 6 × (5 − 3)",
   "16"
  ],
  [
   "100 − 5² ",
   "75"
  ],
  [
   "3 + 2 × 5²",
   "53"
  ],
  [
   "(8 − 2)² ÷ 4",
   "9"
  ],
  [
   "2 + 3 × 4 − 5",
   "9"
  ],
  [
   "9 − 3 ÷ 3 + 1",
   "9"
  ],
  [
   "5 × 4 ÷ 2 + 1",
   "11"
  ],
  [
   "−3²",
   "−9",
   "Square first, then negate"
  ],
  [
   "(−3)²",
   "9"
  ],
  [
   "6 ÷ 2(1 + 2)",
   "9 by strict left-to-right; the notation is ambiguous, so write it clearly"
  ],
  [
   "Where do roots fit in PEMDAS?",
   "With exponents"
  ],
  [
   "Where does the fraction bar fit?",
   "It groups the top and bottom like parentheses"
  ],
  [
   "Evaluate (4 + 2) / (5 − 2)",
   "2"
  ],
  [
   "Evaluate 2 + |3 − 5|",
   "4",
   "Absolute value bars group like parentheses"
  ],
  [
   "√16 + 3 × 2",
   "10"
  ],
  [
   "Evaluate 5 + 3(2 + 1)²",
   "32"
  ]
 ]
}