When multiplying two decimal numbers, the total number of decimal places in the product is the sum of the decimal places in the two factors. Here's the detailed step-by-step solution:
1. Identify the number of decimal places in each of the factors:
- The number [tex]\(16.94\)[/tex] has two decimal places.
- The number [tex]\(2.1\)[/tex] has one decimal place.
2. Add the number of decimal places together:
[tex]\[
2 \text{ (from 16.94)} + 1 \text{ (from 2.1)} = 3
\][/tex]
3. The total number of decimal places in the product is therefore:
[tex]\[
3
\][/tex]
So, when multiplying [tex]\(16.94\)[/tex] by [tex]\(2.1\)[/tex], the decimal in the resulting product should be moved to the left by three places.
Thus, the correct answer is:
Three
