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<0.6330.06<0.6<0.603<0.63<0.633

Explanation:

Lets write fully every number:

0.06=0.060000.06=0.06000
0.6=0.60000.6=0.6000
0.603=0.60300.603=0.6030
0.63=0.63000.63=0.6300
0.633=0.63300.633=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<0.6330.06<0.6<0.603<0.63<0.633

Mar 5, 2018

0.06" "0.6" "0.603" "0.63" "0.6330.06 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,

0.6300.630
0.6000.600
0.6330.633
0.6030.603
0color(blue)(.0)60" "larr0.060 this is the smallest. There are 0/10010

All the others have at least 6/10" "(0.6)610 (0.6)

Consider the second decimal places (hundredths)

0.6color(red)(3)0" "larr0.630 bigger
0.6color(red)(0)0" "larr0.600 smaller
0.6color(red)(3)3" "larr0.633 bigger 0.6color(red)(0)3" "larr# smaller

Re-arrange them:

0.6color(red)(0)0" "larr0.600 smaller
0.6color(red)(0)3" "larr0.603 smaller

0.6color(red)(3)0" "larr0.630 bigger
0.6color(red)(3)3" "larr0.633 bigger

Now compare the third decimal places:

0.60color(limegreen)(0)" "larr0.600 smaller
0.60color(limegreen)(3)" "larr0.603 bigger

0.63color(red)(0)" "larr0.630 smaller
0.63color(red)(3)" "larr0.633 biggest of them all

The order from smallest to biggest is:

0.06" "0.6" "0.603" "0.63" "0.6330.06 0.6 0.603 0.63 0.633