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?

During the school year each student planted 2 x 102 trees as part of a community service project If there are 35 x 103 students in the school how many trees did class=

Respuesta :

Answer:

Total number of trees planted =  [tex]7\times 10^{5}[/tex] trees

Step-by-step explanation:

Trees planted by each student = [tex]2\times 10^2[/tex]

Total number of students = [tex]3.5\times 10^3[/tex]

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

1 student plants = [tex]2\times 10^2[/tex] trees

[tex]3.5\times 10^3[/tex] student would plant = [tex](2\times 10^2)\times (3.5\times 10^3)[/tex]

We apply the product rule of exponents to multiply [tex][a^xa^y=a^{x+y}][/tex]

⇒ [tex](2\times 3.5)\times(10^2\times 10^3)[/tex]

⇒ [tex]7\times 10^{2+3}[/tex]

⇒ [tex]7\times 10^{5}[/tex] trees

Total number of trees planted =  [tex]7\times 10^{5}[/tex] trees