rank these measurements in order: 1.0x10^-4 m, 2.0x10^-5 m, 3.0x10^-6km, 4.0x10^2mm, 0.0m, 1.0m

Question

I need to convert these measurements to see them in order from smallest value to largest value

 

Answer 1

Go ahead & convert; here are some of them:

 

3.0x10^-6km = 3.0x10^-3 m = 3 mm

 

4.0x10^2mm = 400 mm

 

You know the rules about shifting decimal points when mutiplication by a negative power of ten is present, and also about changing centimeters to millimmeters (multiply by ten once).. just do all of the conversion and then sort these answers which will then be in terms of mm.

Answer 2

Lets rewrite these numbers so that they have common like powers of 10.

 

1.0 x 10^-4 m

 

2 x 10^-5 m = 0.2 x 10^-4 m

 

3 x 10^-6 m = 0.03 x 10^-4 m

 

3 x 10^-6km = 3 x 10^-6 x 10³ m = 3 x 10^-3 m = 30 x 10^-4 m

 

4 x 10² x 10^-3 m = 4 x 10^-1 m = 0.004 x 10^-4 m

 

0 m

 

1 m

 

 

List these bolded equivalent values from least to greatest.  I will give you a hint.

 

smallest = 0.004 x 10^-4 m

Largest = 1 m