Order of Operations Quiz
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Questions and Answers

What does PEMDAS stand for?

  • Parentheses, Exponents, Addition/Subtraction, Multiplication/Division
  • Parentheses, Multiplication/Division, Exponents, Addition/Subtraction
  • Parentheses, Addition/Subtraction, Exponents, Multiplication/Division
  • Parentheses, Exponents, Multiplication/Division, Addition/Subtraction (correct)
  • What is the first step in the order of operations?

  • Apply any exponents
  • Perform multiplication and division
  • Perform addition and subtraction
  • Resolve any operations inside a set of parentheses (correct)
  • How should multiplication and division be performed?

  • In any order
  • Before resolving any operations inside parentheses
  • From right to left
  • From left to right (correct)
  • What is the order in which exponents should be applied?

    <p>After resolving any operations inside parentheses</p> Signup and view all the answers

    In the expression $3 + 2 imes 5$, what operation should be performed first?

    <p>Multiplication</p> Signup and view all the answers

    What is the correct order of operations for the expression $4 - 2(3 + 5)^2$?

    <p>Exponents, Parentheses, Multiplication, Subtraction</p> Signup and view all the answers

    What is the result of $2 + 3 imes 4 - 6 ÷ 2$ using the order of operations?

    <p>9</p> Signup and view all the answers

    What does the acronym PEMDAS stand for?

    <p>Parentheses Exponents Multiplication Division Addition Subtraction</p> Signup and view all the answers

    What is the result of $2 imes 4^2 + 20 ext{ ÷ } 4$?

    <p>69</p> Signup and view all the answers

    In the expression $9 ext{ ÷ } 3^2 imes 4 ext{ ÷ } 8 + 1 imes 4 ext{ ÷ } 2 imes 6$, what is the correct result?

    <p>14</p> Signup and view all the answers

    What is the result of $5 + 3 imes 4^2 ext{ ÷ } 2$?

    <p>23</p> Signup and view all the answers

    What is the value of $2 + 3 imes (4 + 5)^2$?

    <p>147</p> Signup and view all the answers

    What is the result of $8 - 4 ext{ ÷ } 2 + 3^2$?

    <p>13</p> Signup and view all the answers

    What is the value of $4 imes (3 + 5) ext{ ÷ } 2^2$?

    <p>8</p> Signup and view all the answers

    What is the result of $6^2 ext{ ÷ } 2 + 5 imes 3$?

    <p>29</p> Signup and view all the answers

    Study Notes

    Order of Operations

    • PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
    • The first step in the order of operations is to evaluate expressions inside Parentheses.
    • Multiplication and Division should be performed from left to right.
    • Exponents should be applied in the order in which they appear from left to right.
    • In the expression $3 + 2 \times 5$, the Multiplication should be performed first, resulting in $3 + 10 = 13$.
    • The correct order of operations for the expression $4 - 2(3 + 5)^2$ is:
      • Evaluate the expression inside the Parentheses: $3 + 5 = 8$
      • Apply the Exponent: $8^2 = 64$
      • Perform Multiplication: $2 \times 64 = 128$
      • Finally, perform Subtraction: $4 - 128 = -124$
    • The result of $2 + 3 \times 4 - 6 \div 2$ using the order of operations is:
      • Perform Multiplication: $3 \times 4 = 12$
      • Perform Division: $6 \div 2 = 3$
      • Finally, perform Addition and Subtraction: $2 + 12 - 3 = 11$
    • The result of $2 \times 4^2 + 20 \div 4$ is:
      • Apply the Exponent: $4^2 = 16$
      • Perform Multiplication: $2 \times 16 = 32$
      • Perform Division: $20 \div 4 = 5$
      • Finally, perform Addition: $32 + 5 = 37$
    • The result of $9 \div 3^2 \times 4 \div 8 + 1 \times 4 \div 2 \times 6$ is:
      • Apply the Exponent: $3^2 = 9$
      • Perform Division: $9 \div 9 = 1$
      • Perform subsequent Divisions and Multiplications: $1 \times 4 \div 8 = 1 \times 0.5 = 0.5$
      • Perform another Division: $1 \times 4 \div 2 = 2$
      • Perform final Multiplication: $2 \times 6 = 12$
      • Finally, add the results: $0.5 + 12 = 12.5$
    • The result of $5 + 3 \times 4^2 \div 2$ is:
      • Apply the Exponent: $4^2 = 16$
      • Perform Multiplication: $3 \times 16 = 48$
      • Perform Division: $48 \div 2 = 24$
      • Finally, perform Addition: $5 + 24 = 29$
    • The value of $2 + 3 \times (4 + 5)^2$ is:
      • Evaluate the expression inside the Parentheses: $4 + 5 = 9$
      • Apply the Exponent: $9^2 = 81$
      • Perform Multiplication: $3 \times 81 = 243$
      • Finally, perform Addition: $2 + 243 = 245$
    • The result of $8 - 4 \div 2 + 3^2$ is:
      • Perform Division: $4 \div 2 = 2$
      • Apply the Exponent: $3^2 = 9$
      • Perform Subtraction: $8 - 2 = 6$
      • Finally, perform Addition: $6 + 9 = 15$
    • The value of $4 \times (3 + 5) \div 2^2$ is:
      • Evaluate the expression inside the Parentheses: $3 + 5 = 8$
      • Perform Multiplication: $4 \times 8 = 32$
      • Apply the Exponent: $2^2 = 4$
      • Perform Division: $32 \div 4 = 8$
    • The result of $6^2 \div 2 + 5 \times 3$ is:
      • Apply the Exponent: $6^2 = 36$
      • Perform Division: $36 \div 2 = 18$
      • Perform Multiplication: $5 \times 3 = 15$
      • Finally, perform Addition: $18 + 15 = 33$

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    Test your knowledge of the Order of Operations with this quiz. Challenge yourself to correctly solve math equations involving addition, subtraction, multiplication, division, exponents, and parentheses. Sharpen your math skills and master the correct sequence for solving complex problems.

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