Question

find the product.
749.3 ×.037

Explanation:

Step1: Ignore decimals, multiply as integers

Multiply \(7493\times37\).
\[

$$\begin{align*} 7493\times37&=(7000 + 400+90 + 3)\times37\\ &=7000\times37+400\times37 + 90\times37+3\times37\\ &=259000+14800+3330 + 111\\ &=259000+14800 = 273800\\ 273800+3330&=277130\\ 277130+111&=277241 \end{align*}$$

\]

Step2: Count decimal places

\(749.3\) has 1 decimal place, \(.037\) has 3 decimal places. Total decimal places \(=1 + 3=4\).

Step3: Place decimal in result

From \(277241\), move decimal 4 places left: \(27.7241\).

Answer:

\(27.7241\)