Answer:
5,29 km = 5,29*10^3 m
1,21 ns = 1,21*10^-9 s
2,50cm=2,50*10^-2 m
5,58 μg = 5,58*10^-6 g
Explanation:
To solve the problem, we use prefixes of the SI:
Name - Symbol - Factor
kilo - k - 10^3
hecto - h - 10^2
deca - da - 10^1
BASIC UNIT
deci - d - 10^-1
centi - c - 10^-2
mili - m - 10^-3
micro - μ - 10^-6
nano - n - 10^-9
To convert the measurements we just change the prefix by its factor and multiply it by the value we want to convert:
5,29 km = 5,29*10^3 m
1,21 ns = 1,21*10^-9 s
2,50cm=2,50*10^-2 m
5,58 μg = 5,58*10^-6 g
Answer: a) 5.29 km =[tex]5.29\times 10^3m[/tex]
b) 1.29 ns =[tex]1.29\times 10^{-9}s[/tex]
c) 2.50 cm=[tex]2.50\times 10^{-2}m[/tex]
c) [tex]5.58\mu g=5.58\times 10^{-6}g[/tex]
Explanation:
Scientific notation : It is defined as the method or a way or representation of expressing the given number which are too big or too small that is written in the decimal form. That means, it always written in the power of 10 form.
8000 is written as, [tex]8\times 10^3[/tex]
a) 1 km = 1000 m
5.29 km =[tex]\frac{1000}{1}\times 5.29=5.29\times 10^3m[/tex]
b) 1 ns = [tex]10^{-9}s[/tex]
1.29 ns =[tex]\frac{10^{-9}}{1}\times 1.29=1.29\times 10^{-9}s[/tex]
c) [tex]1cm=10^{-2}m[/tex]
2.50 cm=[tex]\frac{10^{-2}}{1}\times 2.50cm=2.50\times 10^{-2}m[/tex]
d) [tex]1\mu g=10^{-6}g[/tex]
[tex]5.58\mu g=\frac{10^{-6}g}{1}\times 5.58=5.58\times 10^{-6}g[/tex]
