Solve 100000000*200000000

$$100000000 \times 200000000$$

Evaluate

$$20000000000000000$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times}100000000\\\underline{\times\phantom{}200000000}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 100000000 with 0. Write the result 0 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}100000000\\\underline{\times\phantom{}200000000}\\\phantom{\times}0\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 100000000 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}100000000\\\underline{\times\phantom{}200000000}\\\phantom{\times}0\\\phantom{\times}0\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 100000000 with 0. Write the result 0 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}100000000\\\underline{\times\phantom{}200000000}\\\phantom{\times}0\\\phantom{\times}0\phantom{9}\\\phantom{\times}0\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 100000000 with 0. Write the result 0 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}100000000\\\underline{\times\phantom{}200000000}\\\phantom{\times}0\\\phantom{\times}0\phantom{9}\\\phantom{\times}0\phantom{99}\\\phantom{\times}0\phantom{999}\\\end{array}$$

Now multiply the first number with the 5^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 100000000 with 0. Write the result 0 at the end leaving 4 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}100000000\\\underline{\times\phantom{}200000000}\\\phantom{\times}0\\\phantom{\times}0\phantom{9}\\\phantom{\times}0\phantom{99}\\\phantom{\times}0\phantom{999}\\\phantom{\times}0\phantom{9999}\\\end{array}$$

Now multiply the first number with the 6^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 100000000 with 0. Write the result 0 at the end leaving 5 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}100000000\\\underline{\times\phantom{}200000000}\\\phantom{\times}0\\\phantom{\times}0\phantom{9}\\\phantom{\times}0\phantom{99}\\\phantom{\times}0\phantom{999}\\\phantom{\times}0\phantom{9999}\\\phantom{\times}0\phantom{99999}\\\end{array}$$

Now multiply the first number with the 7^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 100000000 with 0. Write the result 0 at the end leaving 6 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}100000000\\\underline{\times\phantom{}200000000}\\\phantom{\times}0\\\phantom{\times}0\phantom{9}\\\phantom{\times}0\phantom{99}\\\phantom{\times}0\phantom{999}\\\phantom{\times}0\phantom{9999}\\\phantom{\times}0\phantom{99999}\\\phantom{\times}0\phantom{999999}\\\end{array}$$

Now multiply the first number with the 8^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 100000000 with 0. Write the result 0 at the end leaving 7 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}100000000\\\underline{\times\phantom{}200000000}\\\phantom{\times}0\\\phantom{\times}0\phantom{9}\\\phantom{\times}0\phantom{99}\\\phantom{\times}0\phantom{999}\\\phantom{\times}0\phantom{9999}\\\phantom{\times}0\phantom{99999}\\\phantom{\times}0\phantom{999999}\\\phantom{\times}0\phantom{9999999}\\\end{array}$$

Now multiply the first number with the 9^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 100000000 with 2. Write the result 200000000 at the end leaving 8 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}100000000\\\underline{\times\phantom{}200000000}\\\phantom{\times}0\\\phantom{\times}0\phantom{9}\\\phantom{\times}0\phantom{99}\\\phantom{\times}0\phantom{999}\\\phantom{\times}0\phantom{9999}\\\phantom{\times}0\phantom{99999}\\\phantom{\times}0\phantom{999999}\\\phantom{\times}0\phantom{9999999}\\\underline{\phantom{\times}200000000\phantom{99999999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times}100000000\\\underline{\times\phantom{}200000000}\\\phantom{\times}0\\\phantom{\times}0\phantom{9}\\\phantom{\times}0\phantom{99}\\\phantom{\times}0\phantom{999}\\\phantom{\times}0\phantom{9999}\\\phantom{\times}0\phantom{99999}\\\phantom{\times}0\phantom{999999}\\\phantom{\times}0\phantom{9999999}\\\underline{\phantom{\times}200000000\phantom{99999999}}\\\phantom{\times}-545128448\end{array}$$

Factor

$$2^{17}\times 5^{16}$$