Write the following as full (decimal) numbers without prefixes on the units: (a) 177.3 mm, (b) 26 mV, (c) 537 mg. (d) 36.5 ps, (e) 52.5 nm.

Respuesta :

Answer:

  • a) 0.177 300 m
  • b) 0.026 V
  • c) 0.537 g
  • d) 0.000 000 000 036 500 s
  • e) 0.000 000 052 500 m

Explanation:

To find the full numbers, we just need to know the decimal representation of the unit prefix.

We know that milli- is one thousandth, this is

[tex]10^-3 = 0.001[/tex]

So, we can obtain the first three numbers simply by taking this multiple:

a.

[tex]177.3 \  mm = 177.3 \  10 ^ {-3}  \ m = 177.3 \times  0.001  \ m =  0.177 \ 300  \ m[/tex]

b.

[tex]26 \  mV = 26 \  10 ^ {-3}  \ V = 26 \times  0.001  \ V =  0.026  \ V[/tex]

c.

[tex]537 \  mg = 537 \  10 ^ {-3}  \ g = 537 \times  0.001  \ g =  0.537  \ g[/tex]

pico- is one trillionth, this is

[tex]10^{-12} = 0.000 \ 000 \ 000\  001[/tex]

so

d.

[tex]36.5 \  ps = 36.5  \  10 ^ {-12}  \ s = 36.5 \times  0.000 \ 000 \ 000 \ 001  \ s =   0.000 \ 000 \ 000 \ 036  \ 500 s[/tex]

finally, nano- is one "one billionth", this is

[tex]10^{-9} = 0.000 \ 000 \   001[/tex]

[tex]52.5 \ nm = 52.5  \  10 ^ {-9}  \ m = 52.5 \times  0.000 \ 000 \ 001  \ m =   0.000 \  000 \ 052  \ 500 s[/tex]