PRACTICE: Multiplication and Division

Use the standard algorithm for multiplication to find the product.

Set up the vertical algorithm: \begin{array}{c} &&2&5&0 \\ &\times &&8&0 \\ \hline &&&& \\ \hline \end{array}

First we will multiply 250 by 0.

Remember that all number that multiply to 0 is equal to 0. So we put 0 in the units, tens, and hundreds place.

\begin{array}{c} &&2&5&0 \\ &\times &&8&0 \\ \hline &&0&0&0 \\ \hline \end{array}

Now we will multiply 250 by the 8 in the tens place. We will write our answer underneath our previous answer.

Since we are multiplying by a number in the tens place we will place a 0 in the units place.

\begin{array}{c} &2&5&0 \\ \times& &8&0 \\ \hline &0&0&0 \\ &&& 0 \\ \hline \end{array}

8\times 0=0 so we put a 0 in the tens place:

\begin{array}{c} &2&5&0 \\ \times& &8&0 \\ \hline &0&0&0 \\ &&0& 0 \\ \hline \end{array}

8\times 5=40 so we put the 0 in the hundreds place and carry the 4 to the hundreds place.

\begin{array}{c} &{}^42&5&0 \\ \times& &8&0 \\ \hline &0&0&0 \\ &0&0& 0 \\ \hline \end{array}

8 \times 2=16 then add the carried 4 to get 20. Put the 0 in the thousands place and the 2 in the ten thousands place.

\begin{array}{c} &&& &{}^42&5&0 \\ &\times &&& &8&0 \\ \hline &&& &0&0&0 \\ &&2&0&0&0& 0 \\ \hline \end{array}

Add our two answers to get the final answer:

\begin{array}{c} &&& &{}^42&5&0 \\ &\times &&& &8&0 \\ \hline &&& &0&0&0 \\ &+&2&0&0&0& 0 \\ \hline &&2&0&0&0& 0 \\ \hline \end{array}

Use the division algorithm.

Set up the algorithm.

8 goes into 8 once, so we put a 1 in the hundreds column.

8 goes into 5 zero times with 5 remaining, so we put a 0 in the tens column and carry the 5 to the units column.

8 goes into 56 seven times, so we put a 7 in the units column.

856 \div 8 = 107

Use the division algorithm.

Set up the algorithm.

4 goes into 3 zero times with 3 remaining, so we put a 0 in the thousands column and carry the 3 to the hundreds column.

4 goes into 32 eight times, so we put 8 in the hundreds column.

4 goes into 4 one time, so we put a 1 in the tens column.

4 goes into 4 one time, so we put a 1 in the units column.

3244 \div 4 = 811