Question

During the school year, each student planted 2 x 10^2 trees as part of a community service project. If there are 3.5 x 10^3 students in the school, how many trees did they plant in total?

Answer 1

Total number of trees planted =
`7* 10^(5)` trees

Explanation:

Trees planted by each student =
`2* 10^2`

Total number of students =
`3.5* 10^3`

Using unitary method to find total number of trees planted by all the students in school.

1 student plants =
`2* 10^2` trees

`3.5* 10^3` student would plant =
`(2* 10^2)* (3.5* 10^3)`

We apply the product rule of exponents to multiply
`[a^xa^y=a^(x+y)]`

⇒
`(2* 3.5)*(10^2* 10^3)`

⇒
`7* 10^(2+3)`

⇒
`7* 10^(5)` trees

Total number of trees planted =
`7* 10^(5)` trees