Multiply Whole Numbers: example 1.45

Multiply: $286 \cdot 5 .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Multiply: $347 \cdot 5 .$

How did it go?

Multiply: $286 \cdot 5 .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Multiply: $347 \cdot 5 .$

How did it go?

Write the numbers so the digits $5$ and $6$ line up vertically.	$\begin{matrix} 286 \\ \underset{_____}{\times 5} \end{matrix}$
Multiply $5$ by the digit in the ones place of $286.$ $5 \cdot 6 = 30.$
Write the $0$ in the ones place of the product and carry the $3$ to the tens place.Multiply $5$ by the digit in the tens place of $286.$ $5 \cdot 8 = 40$ .	$\begin{matrix} 2 \overset{3}{8} 6 \\ \underset{_____}{\times 5} \\ 0 \end{matrix}$
Add the $3$ tens we carried to get $40 + 3 = 43$ . Write the $3$ in the tens place of the product and carry the 4 to the hundreds place.	$\begin{matrix} \overset{4}{2} \overset{3}{8} 6 \\ \underset{_____}{\times 5} \\ 30 \end{matrix}$
Multiply $5$ by the digit in the hundreds place of $286.$ $5 \cdot 2 = 10.$ Add the $4$ hundreds we carried to get $10 + 4 = 14.$ Write the $4$ in the hundreds place of the product and the $1$ to the thousands place.	$\begin{matrix} \overset{4}{2} \overset{3}{8} 6 \\ \underset{_____}{\times 5} \\ 1,430 \end{matrix}$

Write the numbers so the digits $5$ and $6$ line up vertically.	$\begin{matrix} 286 \\ \underset{_____}{\times 5} \end{matrix}$
Multiply $5$ by the digit in the ones place of $286.$ $5 \cdot 6 = 30.$
Write the $0$ in the ones place of the product and carry the $3$ to the tens place.Multiply $5$ by the digit in the tens place of $286.$ $5 \cdot 8 = 40$ .	$\begin{matrix} 2 \overset{3}{8} 6 \\ \underset{_____}{\times 5} \\ 0 \end{matrix}$
Add the $3$ tens we carried to get $40 + 3 = 43$ . Write the $3$ in the tens place of the product and carry the 4 to the hundreds place.	$\begin{matrix} \overset{4}{2} \overset{3}{8} 6 \\ \underset{_____}{\times 5} \\ 30 \end{matrix}$
Multiply $5$ by the digit in the hundreds place of $286.$ $5 \cdot 2 = 10.$ Add the $4$ hundreds we carried to get $10 + 4 = 14.$ Write the $4$ in the hundreds place of the product and the $1$ to the thousands place.	$\begin{matrix} \overset{4}{2} \overset{3}{8} 6 \\ \underset{_____}{\times 5} \\ 1,430 \end{matrix}$