Order of Operations Quiz

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: $18 + 15 = 33$