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$\begin{array}{ccc}9\times 4=36\hfill & & \text{Write the 6, carry the 3.}\hfill \\ 9\times 0=0\hfill & & \text{Add to the 0 the 3 that was carried:}\phantom{\rule{2px}{0ex}}0+3=3\text{. Write the 3.}\hfill \\ 9\times 8=72\hfill & & \text{Write the 2, carry the 7.}\hfill \\ 9\times 1=9\hfill & & \begin{array}{c}\text{Add to the 9 the 7 that was carried:}9+7=16.\hfill \\ \text{Since there are no more multiplications to perform,write both the 1 and 6.}\hfill \end{array}\hfill \end{array}$
The product is 16,236.
Find the following products.
$\begin{array}{c}\hfill 37\\ \hfill \underline{\times 5}\end{array}$
185
$\begin{array}{c}\hfill 78\\ \hfill \underline{\times 8}\end{array}$
624
$\begin{array}{c}\hfill 536\\ \hfill \underline{\times 7}\end{array}$
3,752
$\begin{array}{c}\hfill \mathrm{40,019}\\ \hfill \underline{\times 8}\end{array}$
320,152
$\begin{array}{c}\hfill \mathrm{301,599}\\ \hfill \underline{\times 3}\end{array}$
904,797
In a multiplication in which the multiplier is composed of two or more digits, the multiplication must take place in parts . The process is as follows:
Multiply 326 by 48.
Multiply 1,508 by 206.
Since 0 times 1508 is 0, the partial product will not change the identity of the total product (which is obtained by addition). Go to the next partial product.
Often, when performing a multiplication, one or both of the factors will end in zeros. Such multiplications can be done quickly by aligning the numbers so that the rightmost nonzero digits are in the same column.
Perform the multiplication $(\text{49},\text{000})(\mathrm{1,}\text{200})$ .
$\begin{array}{ccc}\text{(49,000)(1,200)}& =& \hfill \text{49000}\\ & & \hfill \underline{\times 1200}\end{array}$
Since 9 and 2 are the rightmost nonzero digits, put them in the same column.
Draw (perhaps mentally) a vertical line to separate the zeros from the nonzeros.
Multiply the numbers to the left of the vertical line as usual, then attach to the right end of this product the total number of zeros.
The product is 58,800,000
Most multiplications are performed using a calculator.
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