Multiply three or more numbers

Keynotes :

  1. Understand the Problem:
    • Clearly read the problem to identify all the numbers involved.
    • Determine the operation required (multiplication).
  2. Arrange the Numbers:
    • Write the numbers in a list or in a column format for clarity.
    • Ensure each number is correctly aligned if using a column method.
  3. Choose the Multiplication Method:
    • Sequential Multiplication: Multiply the numbers two at a time in a step-by-step approach.
    • Array Method: Use arrays or grids for visual multiplication.
    • Lattice Method: Use a lattice grid for organizing multiplication.
  4. Follow These Steps:
    1. Multiply Two Numbers First:
      • Start by multiplying the first two numbers.
      • Example: Multiply 3 and 4 to get 12.
    2. Multiply the Result by the Next Number:
      • Take the result from the first multiplication and multiply it by the next number.
      • Example: Multiply 12 (from 3 × 4) by 5 to get 60.
    3. Continue Multiplying by Each Remaining Number:
      • Repeat the process with any remaining numbers.
      • Example: Multiply 60 by 2 to get 120.
  5. Verify Your Calculation:
    • Double-check each step to ensure accuracy.
    • Consider using a calculator for large numbers to verify results.
  6. Use Estimation for Reasonableness:
    • Estimate the product to ensure the result is reasonable.
    • Compare the estimated result with your calculated answer.

Example Problem:

Problem: Multiply 3, 4, and 5.

Solution Steps:

  1. Multiply Two Numbers First:
    • Multiply 3 × 4 = 12.
  2. Multiply the Result by the Next Number:
    • Multiply 12 × 5 = 60.

Final Answer: 3 × 4 × 5 = 60.

Example 1:

Problem: Multiply 2, 5, and 7.

Solution Steps:

  1. Multiply Two Numbers First:
    • Multiply 2 × 5 = 10.
  2. Multiply the Result by the Next Number:
    • Multiply 10 × 7 = 70.

Final Answer: 2 × 5 × 7 = 70.

Example 2:

Problem: Multiply 6, 3, and 8.

Solution Steps:

  1. Multiply Two Numbers First:
    • Multiply 6 × 3 = 18.
  2. Multiply the Result by the Next Number:
    • Multiply 18 × 8 = 144.

Final Answer: 6 × 3 × 8 = 144.

Example 3:

Problem: Multiply 4, 5, 2, and 3.

Solution Steps:

  1. Multiply Two Numbers First:
    • Multiply 4 × 5 = 20.
  2. Multiply the Result by the Next Number:
    • Multiply 20 × 2 = 40.
  3. Multiply the Result by the Next Number:
    • Multiply 40 × 3 = 120.

Final Answer: 4 × 5 × 2 × 3 = 120.

Example 4:

Problem: Multiply 7, 4, and 6.

Solution Steps:

  • Multiply Two Numbers First:
    • Multiply 7 × 4 = 28.
  • Multiply the Result by the Next Number:
    • Multiply 28 × 6 = 168.

Final Answer: 7 × 4 × 6 = 168

Example 5:

Problem: Multiply 9, 5, and 11.

Solution Steps:

  1. Multiply Two Numbers First:
    • Multiply 9 × 5 = 45.
  2. Multiply the Result by the Next Number:
    • Multiply 45 × 11 = 495.

Final Answer: 9 × 5 × 11 = 495.

Example 6:

Problem: Multiply 12, 2, 3, and 4.

Solution Steps:

  1. Multiply Two Numbers First:
    • Multiply 12 × 2 = 24.
  2. Multiply the Result by the Next Number:
    • Multiply 24 × 3 = 72.
  3. Multiply the Result by the Next Number:
    • Multiply 72 × 4 = 288.

Final Answer: 12 × 2 × 3 × 4 = 288.