rank these measurements in order: 1.0x10^-5 m, 2.0x10^-6 m, 3.0x10^-7m, 4.0x10^2mm, 0.0m, 1.0m

Answer 1

Well you just need to put it in the right place every (10)^(-1) means you move 1 decimal place to the left. And (10)^(1) means you move 1 decimal place to the right. So for the measures given you have:

1.0 x (10)^(-5) meters which is just 0.00001 meters

2.0 x (10)^(-6) meters which is just 0.000002 meters

3.0 x (10)^(-7) meters which is just 0.0000003 meters

4.0 x (10)^(2) meters which is just 400.00 meters

0.0 meters is just 0.0 meters

and

1.0 meter is just 1.0 meter (since 1 is singular you can write meters as meter)

The least value here is going to be 0.0 since you cannot get a smaller measurement than 0.0 meters= 0 meters (since measure is positive)

and

0.0000003 meters < 0.000002 meters < 0.00001 meters

and 0.00001 meters < 1.0 meter < 400.00 meters so in order it is :

(0.0 m, .0000003 m, 0.000002 m, 0.00001 m, 1.0 m, 400.00 m) is the answer from least to greatest measure! (where m = meters)

Answer 2

Rank them in order of what? Do you want them ranked from least to greatest? Let's assume that's the case.

3.0x10^-7 m < 2.0x10^-6 m < 1.0x10^-5 m < 0.0 m < 4x10² mm < 1.0 m