I am an undergraduate secondary math education major. In 2 weeks I have to give a Number Talk (https://www.mathmammoth.com/lessons/number_talks.php) in my math ed class on the problem "3.9 times 7.5". I need to come up with as many different solution methods as possible. *(I was unsure of which tag was appropriate for this post.)*

Here is what I have come up with so far:

1. The most common way: multiply the two numbers "vertically", ignoring the decimal, to get 2925. Since there are two numbers to the right of the decimal, place the decimal after the 9 to get the answer 29.25

2. Write both numbers as improper fractions (or mixed numbers): 3.9=39/10 and 7.5=75/10. Then multiply 39/10*75/10 to get 2925/100, which simplifies to 29.25

3. Use lattice multiplication. This is a very uncommon method that I doubt the students will use, and I need to review it myself before I consider it.

4. Since 3.9 is very close to 4, we could instead do 4*7.5=30 and then subtract 0.1*7.5=.75 to get 30-.75=29.25

5. Similarly, since 7.5 rounds up to 8, we can do 3.9*8=31.2 and then subtract .5*3.9=1.96 to get 31.2-1.95=29.25

Are there any other possible methods the students might use? (**Note:** they are junior college math ed students.) Thanks!