1.1.2 Order of operations (BIDMAS/BODMAS)

• What is the first step in solving 10 + 2 × 3?

  Multiply 2 by 3
• What is the result of the expression 5 + 3 × 2 using BIDMAS/BODMAS?

  11
• What is the BIDMAS/BODMAS order of operations?

  • Brackets first
  • Then indices (or orders)
  • Next division and multiplication from left to right
  • Finally addition and subtraction from left to right
• How do you solve the expression 10 + 2 × 3 using BIDMAS/BODMAS?

  Multiply first, then add: 10 + 6 = 16
• If you have the expression (4 + 2) × 3, what is the first step according to BIDMAS/BODMAS?

  Calculate the brackets: 4 + 2 = 6
• What is the priority of Addition in BIDMAS/BODMAS?

  4
• What should you look for to identify operations in an expression?

  Signs such as +, -, ×, ÷
• What operations are identified in the expression 5 + 3 × 2?

  Addition (+) and multiplication (×)
• In the expression 5 + 3 × 2, which operation is performed first according to BIDMAS/BODMAS?

  Multiplication (×)
• Why is it important to follow BIDMAS/BODMAS in calculations?

  To ensure accurate results in mathematical expressions
• How would you identify operations in the expression 8 ÷ 4 + 2?

  Look for signs and apply BIDMAS/BODMAS
• What is the order of operations in BIDMAS/BODMAS?

  1. Brackets: Solve operations inside brackets first.
  2. Indices (Orders): Calculate powers and roots.
  3. Division and Multiplication: Perform from left to right.
  4. Addition and Subtraction: Perform from left to right.
• How do you solve the expression `(5 + 3) × 2` step by step?

  1. Solve brackets: \(5 + 3 = 8\)
  2. Multiply: \(8 × 2 = 16\)
  3. Final result: \( (5 + 3) × 2 = 16 \)
• In the operation 10 + 2 × 3, which operation is performed first?

  Multiplication
• What is the result of the operation 10 + 2 × 3?

  16
• In the expression `(5 + 3) × 2`, what is the first operation to perform?

  Brackets
• What is the first step in solving (8 - 2) ÷ 2?

  Subtract 2 from 8
• What is the result of (8 - 2) ÷ 2?

  3
• What is the purpose of BIDMAS/BODMAS?

  • To determine the order of operations in calculations
  • Ensures accurate results in mathematical expressions
• What exercises can you try to test your understanding of BIDMAS/BODMAS?

  1. 20 - 4 × 3
  2. (12 + 6) ÷ 3
  3. 3³ - 2 × 4
• What is the first step in solving 4² + 5 × 2?

  Calculate 4²
• What operations share the same priority in BIDMAS/BODMAS?

  Division and Multiplication
• What is the second operation in BIDMAS/BODMAS?

  Indices (or Orders)
• Why is it important to follow the correct order of operations?

  To ensure accurate results
• What is the first operation in BIDMAS/BODMAS?

  Brackets
• What is the final result of the expression (10 - 2) + 3 × 4 using BIDMAS/BODMAS?

  20
• What is the final result of the expression `(5 + 3) × 2`?

  16
• What is the result of 4² + 5 × 2?

  26
• In the operation (8 - 2) ÷ 2, which operation is performed first?

  Brackets
• What does BIDMAS/BODMAS stand for?

  Brackets, Indices, Division, Multiplication, Addition, Subtraction
• In the operation 4² + 5 × 2, which operation is performed first?

  Indices
• What is the result of the operation `5 + 3` in the expression `(5 + 3) × 2`?


  8
• Is the number 5 prime or not?

  Yes
• What are the factors of the number 9?

  • 1
  • 3
  • 9
• What distinguishes prime numbers from non-prime numbers?

  • Prime numbers have exactly two factors: 1 and itself
  • Non-prime numbers have more than two factors
• What should you check after starting with 1 when finding factors?

  Check if 2 divides the number evenly
• Why do you check numbers up to the square root of the number?

  To find all possible factor pairs efficiently
• What are the factors of 12?

  • 1
  • 2
  • 3
  • 4
  • 6
  • 12
• Why is 7 considered a prime number?

  Its only factors are 1 and 7
• How do you list factor pairs when finding factors?

  • Identify numbers that divide evenly
  • Pair each divisor with its complement