$2.13 \times 0.197=$

Full solution

2.13 \times 0.197=

Multiply the numbers: Multiply the two given numbers. $\newline$ To multiply $2.13$ by $0.197$ , align the decimal points and multiply as if they were whole numbers. $\newline$ Calculation: $2.13 \times 0.197$ $\newline$ \begin{align*} &2.13 \ &\times 0.197 \ &\underline{\phantom{0}------} \ &\phantom{0}1491 &\text{(This is inline_latex_0 multiplied by inline_latex_4, with three decimal places to the right)} \ &\phantom{0000} &\text{(This is inline_latex_0 multiplied by inline_latex_6, with two decimal places to the right; however, since inline_latex_6 is zero, the result is inline_latex_8)} \ &426 &\text{(This is inline_latex_0 multiplied by inline_latex_10, with one decimal place to the right)} \ &\underline{\phantom{0}------} \ &\phantom{0}41941 &\text{(Sum of the above products, before adjusting the decimal place)} \end{align*} $\newline$ Now, count the total number of decimal places in the original numbers ( $0.197$ $1$ in $2.13$ and $0.197$ $3$ in $0.197$ ), which is $0.197$ $5$ . $\newline$ Place the decimal point in the result to have $0.197$ $5$ decimal places from the right. $\newline$ Final result: $0.197$ $7$