Question

8. Multiply the following numbers using scientific notation: (2 x 10^3)(2 x 10^4).

9. Divide the following numbers using scientific notation: (4 x 10^2)/(1 x 10^3)

10. Perform the following calculation: (1 x 10^2)(2 x 10^3)/(1 x 10^2)

Answer 1

Question 8

Multiply the following numbers using scientific notation: (2 x 10^3)(2 x 10^4).

(2 x 10^3) = 2*10*10*10 = 2000

(2 x 10^4) = 2*10*10*10*10 = 20000

2000*20000

=40 000 000

=
`4 * 10^(7)`

Question 9

Divide the following numbers using scientific notation: (4 x 10^2)/(1 x 10^3)

(4 x 10^2) = 4*10*10 = 400

(1 x 10^3) = 1*10*10*10= 1000

400/1000 = 0.4

=
`4*10^(-1)`

Question 10

Perform the following calculation: (1 x 10^2)(2 x 10^3)/(1 x 10^2)

(1 x 10^2) = 1*10*10= 100

(2 x 10^3) = 2*10*10*10 =2000

100*2000 = 200 000

(1 x 10^2) = 1*10*10 = 100

200 000/100 = 2000

=
`2*10^(3)`