How do you write these numbers from least to greatest: 0.63, 0.6, 0.633, 0.603, 0.06?

2 Answers
Mar 5, 2018

0.06<0.6<0.603<0.63<0.633

Explanation:

Lets write fully every number:

0.06=0.06000
0.6=0.6000
0.603=0.6030
0.63=0.6300
0.633=0.6330

It's like thousands, only in decimal places, if that makes sense to you.

So there you go:

0.06<0.6<0.603<0.63<0.633

Mar 5, 2018

0.06" "0.6" "0.603" "0.63" "0.633

Explanation:

Write them with the same number of decimal places as this makes them easier to compare.

Then write them underneath each other with the decimal points aligned. Then compare the place holders, working from left to right to identify the biggest and smallest numbers,

0.630
0.600
0.633
0.603
0color(blue)(.0)60" "larr this is the smallest. There are 0/10

All the others have at least 6/10" "(0.6)

Consider the second decimal places (hundredths)

0.6color(red)(3)0" "larr bigger
0.6color(red)(0)0" "larr smaller
0.6color(red)(3)3" "larr bigger 0.6color(red)(0)3" "larr# smaller

Re-arrange them:

0.6color(red)(0)0" "larr smaller
0.6color(red)(0)3" "larr smaller

0.6color(red)(3)0" "larr bigger
0.6color(red)(3)3" "larr bigger

Now compare the third decimal places:

0.60color(limegreen)(0)" "larr smaller
0.60color(limegreen)(3)" "larr bigger

0.63color(red)(0)" "larr smaller
0.63color(red)(3)" "larr biggest of them all

The order from smallest to biggest is:

0.06" "0.6" "0.603" "0.63" "0.633