Question

evaluate 398×402 in maths​

Answer 1

159996

$\bold{explaination}$

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

$\begin{array}{c}\phantom{\times999}398\\\underline{\times\phantom{999}402}\\\end{array}$

Now multiply the first number with the 1st digit in 2nd number to get intermediate results. That is Multiply 398 with 2. Write the result 796 at the end leaving 0 spaces to the right like this.

$\begin{array}{c}\phantom{\times999}398\\\underline{\times\phantom{999}402}\\\phantom{\times999}796\\\end{array}$

Now multiply the first number with the 2nd digit in 2nd number to get intermediate results. That is Multiply 398 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$\begin{array}{c}\phantom{\times999}398\\\underline{\times\phantom{999}402}\\\phantom{\times999}796\\\phantom{\times99999}0\phantom{9}\\\end{array}$

Now multiply the first number with the 3rd digit in 2nd number to get intermediate results. That is Multiply 398 with 4. Write the result 1592 at the end leaving 2 spaces to the right like this.

$\begin{array}{c}\phantom{\times999}398\\\underline{\times\phantom{999}402}\\\phantom{\times999}796\\\phantom{\times99999}0\phantom{9}\\\underline{\phantom{\times}1592\phantom{99}}\\\end{array}$

Now add the intermediate results to get final answer.

$\begin{array}{c}\phantom{\times999}398\\\underline{\times\phantom{999}402}\\\phantom{\times999}796\\\phantom{\times99999}0\phantom{9}\\\underline{\phantom{\times}1592\phantom{99}}\\\phantom{\times}159996\end{array}$

Factor

$2^{2}\times 3\times 67\times 199$

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