Write the numbers on each description as a decimal to find its matching measurement.
About half as many meters as 3*10^3
[tex]\frac{1}{2}\cdot3\times10^3=\frac{1}{2}\cdot3000=1500[/tex]
About three times as many meters as 1*10^1
[tex]3\cdot1\times10^1=3\cdot10=30[/tex]
About half as many meters as 3*10^-3
[tex]\frac{1}{2}\cdot3\times10^{-3}=\frac{1}{2}0.003=0.0015[/tex]
About half as many meters as 9*10^-1
[tex]\frac{1}{2}\cdot9\times10^{-1}=\frac{1}{2}\cdot0.9=0.45[/tex]
About five times as many meters as 2*10^-2
[tex]5\cdot2\times10^{-2}=5\cdot0.02=\text{0}.1[/tex]
About twice as many meters as 2*10^2
[tex]2\cdot2\times10^2=2\cdot200=400[/tex]
Compare these quantities to the given measurements,
0.095 meters
This measurement is near to 0.1, which is about five times as many meters as 2*10^-2.
0.0016 meters
This measurement is near to 0.0015, which is about half as many meters as 3*10^-3.
30.48 meters
This measurement is near to 30, which is about three times as many meters as 1*10^1.
0.4572 meters
This measurement is near to 0.45, which is about half as many meters as 9*10^-1.
