Set up problem: Set up the multiplication problem in the standard format with the larger number on top and the smaller number below it. 35653 x 1344Multiply ones place: Multiply the top number by the digit in the ones place of the bottom number. 35653 x 1344 ______ 42612 (35653 x 4)Multiply tens place: Multiply the top number by the digit in the tens place of the bottom number. Remember to add a zero at the end because you are multiplying by 10. 35653 x 1344 ______ 42612 356530 (35653 x 40)Multiply hundreds place: Multiply the top number by the digit in the hundreds place of the bottom number. Remember to add two zeros at the end because you are multiplying by 100. 35653 x 1344 ______ 42612 356530 35653000 (35653 x 300)Multiply thousands place: Multiply the top number by the digit in the thousands place of the bottom number. Remember to add three zeros at the end because you are multiplying by 1000. 35653 x 1344 ______ 42612 356530 35653000 356530000 (35653 x 1000)Add all products: Add all the products together to get the final answer. 42612 +356530 +35653000 +356530000 __________ 47987232

Precalculus

Write a repeating decimal as a fraction

Full solution

35653\times1344

Set up problem: Set up the multiplication problem in the standard format with the larger number on top and the smaller number below it. $\newline$ $35653$ $\newline$ $\times 1344$
Multiply ones place: Multiply the top number by the digit in the ones place of the bottom number. $\newline$ $35653$ $\newline$ $\times 1344$ $\newline$ ______ $\newline$ $42612$ ( $35653 \times 4$ )
Multiply tens place: Multiply the top number by the digit in the tens place of the bottom number. Remember to add a zero at the end because you are multiplying by $10$ . $\newline$ $35653$ $\newline$ $\times 1344$ $\newline$ $\underline{\hspace{3em}}$ $\newline$ $\phantom{0}42612$ $\newline$ $356530 \phantom{0}(35653 \times 40)$
Multiply hundreds place: Multiply the top number by the digit in the hundreds place of the bottom number. Remember to add two zeros at the end because you are multiplying by $100$ . $\newline$ $35653$ $\newline$ $\times 1344$ $\newline$ $\underline{\hspace{3em}}$ $\newline$ $\phantom{0}42612$ $\newline$ $\phantom{00}356530$ $\newline$ 35653000 \text{ (inline_latex_1)}
Multiply thousands place: Multiply the top number by the digit in the thousands place of the bottom number. Remember to add three zeros at the end because you are multiplying by $1000$ . $\newline$ $35653$ $\newline$ $\times 1344$ $\newline$ $\underline{\phantom{0000000}}$ $\newline$ $\phantom{0}42612$ $\newline$ $356530$ $\newline$ $35653000$ $\newline$ $356530000 \text{ } (35653 \times 1000)$
Add all products: Add all the products together to get the final answer. $\newline$ $42612$ $\newline$ + $356530$ $\newline$ + $35653000$ $\newline$ + $356530000$ $\newline$ __________ $\newline$ $47987232$