How do you order the following from least to greatest #0.19, 0.09, 0.9, 1, 0#?

1 Answer

#0,.09,.19,.9,1#

Explanation:

We have these numbers to order from least to greatest:

#.19,.09,.9,1,0#

I find that dealing with decimals can get confusing sometimes, so I'm going to change them all to fractions. Since we have numbers that extend out to, at most, 2 decimal places, I'm going to multiply all of these numbers by #100/100#:

#.19(100/100)=19/100#

#.09(100/100)=9/100#

#.9(100/100)=90/100#

#1(100/100)=100/100#

#0(100/100)=0/100#

And now we can reorder the numbers:

#0/100, 9/100, 19/100,90/100,100/100#

Putting them back in decimal form:

#0,.09,.19,.9,1#