Set up problem: Set up the multiplication problem in the standard format. Write down the larger number, 236, on top and the smaller number, 16, below it, aligning the digits by place value.Multiply ones place: Multiply the digit in the ones place of the bottom number (6) by each digit of the top number (236). 6 * 6 = 36, write down the 6 and carry over the 3. 6 * 3 = 18, plus the carried over 3 equals 21, write down the 1 and carry over the 2. 6 * 2 = 12, plus the carried over 2 equals 14, write down the 14.Multiply tens place: Write a zero below the 6 in the ones place of the result from Step 2 because you are now multiplying by the digit in the tens place of the bottom number (1), which actually represents 10.Add results: Multiply the digit in the tens place of the bottom number (1) by each digit of the top number (236). 1 * 6 = 6, write down the 6 to the left of the zero from Step 3. 1 * 3 = 3, write down the 3. 1 * 2 = 2, write down the 2.Add the two results from Step 2 and Step 4. 1416 + 2360 ------ 3776

Grade 7

Multiply integers

Full solution

236 \times 16

Set up problem: Set up the multiplication problem in the standard format. $\newline$ Write down the larger number, $236$ , on top and the smaller number, $16$ , below it, aligning the digits by place value.
Multiply ones place: Multiply the digit in the ones place of the bottom number ( $6$ ) by each digit of the top number ( $236$ ). $\newline$ $6 \times 6 = 36$ , write down the $6$ and carry over the $3$ . $\newline$ $6 \times 3 = 18$ , plus the carried over $3$ equals $21$ , write down the $1$ and carry over the $2$ . $\newline$ $236$ $0$ , plus the carried over $2$ equals $236$ $2$ , write down the $236$ $2$ .
Multiply tens place: Write a zero below the $6$ in the ones place of the result from Step $2$ because you are now multiplying by the digit in the tens place of the bottom number ( $1$ ), which actually represents $10$ .
Add results: Multiply the digit in the tens place of the bottom number $1$ by each digit of the top number $236$ .
$1 \times 6 = 6$ , write down the $6$ to the left of the zero from Step $3$ .
$1 \times 3 = 3$ , write down the $3$ .
$1 \times 2 = 2$ , write down the $2$ .
Add results: Multiply the digit in the tens place of the bottom number $1$ by each digit of the top number $236$ . $1 \times 6 = 6$ , write down the $6$ to the left of the zero from Step $3$ . $1 \times 3 = 3$ , write down the $3$ . $1 \times 2 = 2$ , write down the $2$ .Add the two results from Step $2$ and Step $4$ .\begin{align*} &\phantom{+}1416\ &+2360\ \hline &3776\end{align*}