Respuesta :

Answer:

5 × [tex]10^{-3}[/tex]

Step-by-step explanation:

A number in standard form is

a × [tex]10^{n}[/tex]

where 1 ≤ a > 10 and n is an integer

Given

0.005 ← express as a number between 1 and 10

= 5 ×[tex]10^{n}[/tex]

n is the value required to move the decimal point back to its original position

A move to the right is +

A move to the left is -

Here we require to move the decimal point back 3 places to the left

Thus

0.005 = 5 × [tex]10^{-3}[/tex]

[tex]\\ \sf\Rrightarrow 0.005[/tex]

  • Cancel 0s one by one

[tex]\\ \sf\Rrightarrow 0.05\times 10^{-1}[/tex]

[tex]\\ \sf\Rrightarrow 0.5\times 10^{-2}[/tex]

[tex]\\ \sf\Rrightarrow 5\times 10^{-3}[/tex]

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