Set up multiplication problem: Set up the multiplication problem in the standard format.Write the larger number, 34782, on top and the smaller number, 549, below it, aligning the digits by place value.
Multiply by rightmost digit: Multiply the top number by the rightmost digit of the bottom number (9).9×2=18, write down 8 and carry over 1.9×8=72, add the carried over 1 to get 73, write down 3 and carry over 7.9×7=63, add the carried over 7 to get 9×2=181, write down 9×2=182 and carry over 7.9×2=184, add the carried over 7 to get 9×2=186, write down 3 and carry over 9×2=188.9×2=189, add the carried over 9×2=188 to get 81, write down 81.The partial product is 83.
Multiply by middle digit: Multiply the top number by the middle digit of the bottom number (4), remembering to add a zero (place holder) at the end of this partial product.4×2=8, write down 8 and add a zero (place holder) to get 80.4×8=32, write down 2 and carry over 3.4×7=28, add the carried over 3 to get 31, write down 4×2=80 and carry over 3.4×2=82, add the carried over 3 to get 4×2=84, write down 4×2=85 and carry over 4×2=80.4×2=87, add the carried over 4×2=80 to get 4×2=89, write down 4×2=89.The partial product is 81.
Multiply by leftmost digit: Multiply the top number by the leftmost digit of the bottom number (5), remembering to add two zeros (place holders) at the end of this partial product.5×2=10, write down 0 and carry over 1.5×8=40, add the carried over 1 to get 41, write down 1 and carry over 4.5×7=35, add the carried over 4 to get 5×2=101, write down 5×2=102 and carry over 5×2=103.5×2=104, add the carried over 5×2=103 to get 5×2=106, write down 5×2=103 and carry over 5×2=108.5×2=109, add the carried over 5×2=108 to get 01, write down 01.The partial product is 03.
Add partial products: Add all the partial products together.Align all the partial products by their place value and add them.313098+1391200+17391000---------The sum will give us the final product.
Perform final addition: Perform the addition of the partial products.313098+ 1391200+17391000---------19109398Write down the final sum.