Question

Match up each measurement to the correct description of an estimated measurementabout half as manymeters as 3 x 103about three times as manymeters as 1 x 10about half as manymeters as 3% 10about half as manymeters as 9 x 101about five times as manymeters as 2 x 102about twice as marrymeters as 22 100.095 meters0.0016 meters30.48 meters0.4572 metersmentum. All rights reserved.

Answer 1

Write the numbers on each description as a decimal to find its matching measurement.

About half as many meters as 3*10^3

`(1)/(2)\cdot3*10^3=(1)/(2)\cdot3000=1500`

About three times as many meters as 1*10^1

`3\cdot1*10^1=3\cdot10=30`

About half as many meters as 3*10^-3

`(1)/(2)\cdot3*10^(-3)=(1)/(2)0.003=0.0015`

About half as many meters as 9*10^-1

`(1)/(2)\cdot9*10^(-1)=(1)/(2)\cdot0.9=0.45`

About five times as many meters as 2*10^-2

`5\cdot2*10^(-2)=5\cdot0.02=\text{0}.1`

About twice as many meters as 2*10^2

`2\cdot2*10^2=2\cdot200=400`

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.