Express the following in S.I. base units power of 10 notation.(a) 1.35

1.	Express the following in S.I. base units power of 10 notation.(a) 1.35 mm(b) 1 day(c) 6.45 mL(d) 48 μg(e) 0.0426 m
Answer» (a) 1.35 mm = 1.35 x 10³ m (b) 1 day = 1 day x {24 h}/{1 day} = {60 min}/{1 h} x {60 s}/{1 min} = 1 x 24 x 60 x 60 s = 86400 s = 8.64 x 10⁴ s (c) 6.45 mL = 6.45 x 10^-3 L (d) 48 μg = 48 x 10^-6 g = 48 x 10^-6 x {1 g}/{100 g/kg} = 4.8 x 10^-8 kg (e) 0.0426 m = 0.0426 x 1 inch = 0.0426 x 0.0254 m = 1.082 x 10^-3 kg

Express the following in S.I. base units power of 10 notation.(a) 1.35 mm(b) 1 day(c) 6.45 mL(d) 48 μg(e) 0.0426 m

Answer»

(a) 1.35 mm = 1.35 x 10³ m

(b) 1 day = 1 day x {24 h}/{1 day}

= {60 min}/{1 h} x {60 s}/{1 min}

= 1 x 24 x 60 x 60 s

= 86400 s = 8.64 x 10⁴ s

(d) 48 μg = 48 x 10^-6 g

= 48 x 10^-6 x {1 g}/{100 g/kg}

= 4.8 x 10^-8 kg

(e) 0.0426 m = 0.0426 x 1 inch

= 0.0426 x 0.0254 m = 1.082 x 10^-3 kg