Solve 7000*825=

$$7000 \times 825=$$

Evaluate

$$5775000$$

Steps For Long Multiplication

First line up the numbers vertically and match the places from the right like this.

$$\begin{array}{c}\phantom{\times999}7000\\\underline{\times\phantom{9999}825}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 7000 with 5. Write the result 35000 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}7000\\\underline{\times\phantom{9999}825}\\\phantom{\times99}35000\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 7000 with 2. Write the result 14000 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}7000\\\underline{\times\phantom{9999}825}\\\phantom{\times99}35000\\\phantom{\times9}14000\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 7000 with 8. Write the result 56000 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}7000\\\underline{\times\phantom{9999}825}\\\phantom{\times99}35000\\\phantom{\times9}14000\phantom{9}\\\underline{\phantom{\times}56000\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}7000\\\underline{\times\phantom{9999}825}\\\phantom{\times99}35000\\\phantom{\times9}14000\phantom{9}\\\underline{\phantom{\times}56000\phantom{99}}\\\phantom{\times}5775000\end{array}$$

Factor

$$2^{3}\times 3\times 5^{5}\times 7\times 11$$