Set up problem: Set up the multiplication problem in the standard format with the larger number on top and the smaller number below it, aligning the digits by place value. 178 x 273Multiply ones place: Multiply the digit in the ones place of the bottom number (3) by each digit of the top number (178), starting from the ones place to the left. 3 x 178 = 534 Write 534 below the line, aligning the last digit (4) with the ones column.Multiply tens place: Multiply the digit in the tens place of the bottom number (7) by each digit of the top number (178), starting from the ones place to the left. 7 x 178 = 1246 Since we are multiplying by the tens place, we need to add a zero (place holder) to the right of the first digit in our result before writing it below the line. 12460Multiply hundreds place: Multiply the digit in the hundreds place of the bottom number (2) by each digit of the top number (178), starting from the ones place to the left. 2 x 178 = 356 Since we are multiplying by the hundreds place, we need to add two zeros (place holders) to the right of the first digit in our result before writing it below the line. 35600Add results: Add the results of the multiplication from steps 2, 3, and 4. 534 12460 35600 -------Perform final addition: Perform the addition to find the final answer. 534 +12460 +35600 ------- 48654

Grade 7

Geometric sequences

Full solution

178 \times 273

Set up problem: Set up the multiplication problem in the standard format with the larger number on top and the smaller number below it, aligning the digits by place value. $\newline$ $178$ $\newline$ $\times 273$
Multiply ones place: Multiply the digit in the ones place of the bottom number ( $3$ ) by each digit of the top number ( $178$ ), starting from the ones place to the left. $\newline$ $3 \times 178 = 534$ $\newline$ Write $534$ below the line, aligning the last digit ( $4$ ) with the ones column.
Multiply tens place: Multiply the digit in the tens place of the bottom number ( $7$ ) by each digit of the top number ( $178$ ), starting from the ones place to the left. $\newline$ $7 \times 178 = 1246$ $\newline$ Since we are multiplying by the tens place, we need to add a zero (place holder) to the right of the first digit in our result before writing it below the line. $\newline$ $12460$
Multiply hundreds place: Multiply the digit in the hundreds place of the bottom number ( $2$ ) by each digit of the top number ( $178$ ), starting from the ones place to the left. $\newline$ $2 \times 178 = 356$ $\newline$ Since we are multiplying by the hundreds place, we need to add two zeros (place holders) to the right of the first digit in our result before writing it below the line. $\newline$ $35600$
Add results: Add the results of the multiplication from steps $2$ , $3$ , and $4$ . $\newline$ $534$ $\newline$ $12460$ $\newline$ $35600$ $\newline$ -------
Perform final addition: Perform the addition to find the final answer. $\newline$ $534$ $\newline$ + $12460$ $\newline$ + $35600$ $\newline$ ------- $\newline$ $48654$