Question

Find the product of 968427 and 3493.

• A. \(3382715511 \)
• B. \(3382715523 \)
• C. \(3382756879 \)
• D. \(3382778965 \)
• E. \(3357729673 \)

Hint:

For large multiplications: - Break numbers into place values - Multiply and add step-by-step to avoid errors

Answer 1

The Correct Option is A

Concept: Use distributive property to simplify large multiplication: \[ a \times (b+c+d) = a\times b + a\times c + a\times d \]
Step 1: Break 3493 into parts.
\[ 3493 = 3000 + 400 + 90 + 3 \]

Step 2: Multiply separately.
\[ 968427 \times 3000 = 2905281000 \] \[ 968427 \times 400 = 387370800 \] \[ 968427 \times 90 = 87158430 \] \[ 968427 \times 3 = 2905281 \]

Step 3: Add all results.
\[ = 2905281000 + 387370800 + 87158430 + 2905281 \] \[ = 3382715511 \]