Respuesta :

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]

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