for the second question the options are: 71034, 71034000, 710.34 and 7013.4

Answer:
[tex]0.0005[/tex] [tex]= 5 * 10^{-4[/tex]
[tex]7.1034 * 10^3 = 7103.4[/tex]
Step-by-step explanation:
Solving (a):
[tex]0.0005[/tex]
Standard form is represented as:
[tex]a * 10^n[/tex] where [tex]1 \le a \le 10[/tex]
Move the decimal point to 5 and count the number of times the decimal point is moved forward (forward represents negative).
So:
[tex]a = 5[/tex]
[tex]n = -4[/tex]
Hence:
[tex]0.0005[/tex] [tex]= 5 * 10^{-4[/tex]
Solving (b):
[tex]7.1034 * 10^3[/tex]
Express [tex]10^3[/tex] as [tex]1000[/tex]
This gives:
[tex]7.1034 * 10^3 = 7.1034 * 1000[/tex]
[tex]7.1034 * 10^3 = 7103.4[/tex]