Here are the solutions to the unit conversion problems.
1. Converting to Base Units
*(Converting from small or large prefixes to the standard unit like Volts, Seconds, Newtons, Amps, Grams, Metres, Joules)*
a)
$1 \times 10^{-9}$ V (or 0.000000001 V)
*Reasoning:* "n" stands for nano ($10^{-9}$).
b)
0.337 s
*Reasoning:* "m" stands for milli ($10^{-3}$). $337 \div 1000 = 0.337$.
c)
14,000,000 N (or $1.4 \times 10^7$ N)
*Reasoning:* "M" stands for Mega ($10^6$). $14 \times 1,000,000$.
d)
684,000 N (or $6.84 \times 10^5$ N)
*Reasoning:* "k" stands for kilo ($10^3$). $684 \times 1,000$.
e)
548,000 A (or $5.48 \times 10^5$ A)
*Reasoning:* "k" stands for kilo ($10^3$). $548 \times 1,000$.
f)
0.003 g
*Reasoning:* "m" stands for milli ($10^{-3}$). $3 \div 1000$.
g)
$3.48 \times 10^{-7}$ g (or 0.000000348 g)
*Reasoning:* "n" stands for nano ($10^{-9}$). $348 \times 10^{-9} = 3.48 \times 10^{-7}$.
h)
401,000 m (or $4.01 \times 10^5$ m)
*Reasoning:* "k" stands for kilo ($10^3$). $401 \times 1,000$.
i)
30,000,000 m (or $3 \times 10^7$ m)
*Reasoning:* "M" stands for Mega ($10^6$). $30 \times 1,000,000$.
j)
$6.32 \times 10^{11}$ s
*Reasoning:* "G" stands for Giga ($10^9$). $632 \times 10^9 = 6.32 \times 10^{11}$.
k)
9.64 N
*Reasoning:* "c" stands for centi ($10^{-2}$). $964 \div 100$.
l)
0.755 A
*Reasoning:* "m" stands for milli ($10^{-3}$). $755 \div 1000$.
m)
4.03 N
*Reasoning:* "c" stands for centi ($10^{-2}$). $403 \div 100$.
n)
156,000 A (or $1.56 \times 10^5$ A)
*Reasoning:* "k" stands for kilo ($10^3$). $156 \times 1,000$.
o)
$1.98 \times 10^{11}$ s
*Reasoning:* "G" stands for Giga ($10^9$). $198 \times 10^9 = 1.98 \times 10^{11}$.
p) **906,000
Parent Tip: Review the logic above to help your child master the concept of physics conversions worksheet.
