Express the following quantities using prefixes.

Question

Express the following quantities using prefixes.

(a) 5000 g (b) 2000000 W
(c) $52 imes1Tt0kg$ (d) 225$ imes10^{-8s}$

{(a)5kg (b) 2 MW (c) 5.2 µg (d) 2.25µs }

Accepted Answer

Solution:

(a) 5000 g
= $5 imes 1000g$
= $5 imes 1kg (Since 1000g = 1kg)$
= 5kg

(b) 2000,000 w
=$2 imes 1000000$
= $2 imes 10^{6}W (10^{6} = 1 Mega)$
= 2 MW

(c) $52 imes 10^{-10} kg$
= $5.2 imes l0 imes 10^{-10}kg$
= $5.2 imes 10^{-9} kg$
= $5.2 imes10^{-9} imes 1000g$ (Since 1 kg = 1000 g)
= $5.2 imes 10^{-9} imes 10^{3} g$
= $5.2 imes 10^{-9} imes 10^{-6} g$
= $5.2 µg (10^{-6} = 1micro(µ))$

(d) $225 imes 10^{-8} s$
= $225 imes10^{2} imes 10^{-8} s$
= $2.25 imes 10^{-6} s$
= $2.25 µs (10^{-6} = 1micro(µ))$