Question

what is the product of 5.61 and 0.15? 0.8415 0.1625 0.9725 0.2214

Explanation:

Step1: Multiply the two numbers

To find the product of \(5.61\) and \(0.15\), we multiply them as we would with whole numbers and then account for the decimal places.
First, multiply \(561\times15\):
\[

$$\begin{align*} 561\times15&=(500 + 60+1)\times15\\ &=500\times15+60\times15 + 1\times15\\ &=7500+900 + 15\\ &=8415 \end{align*}$$

\]
Now, \(5.61\) has 2 decimal places and \(0.15\) has 2 decimal places, so the total number of decimal places in the product is \(2 + 2=4\).
So, we place the decimal point in \(8415\) such that there are 4 decimal places: \(0.8415\).

Answer:

0.8415