macOS Trying to improve Bash scripting skills - question

[Big Dave]

I would like to learn how to perform a while loop while inside a while loop. I have written a small bit of script that I would love to learn to simplify. Any help is appreciated.
-Thanks
Dave

#!/bin/bash
a="0"
b="0"
while [ $a -lt 10 ]
  do
    echo The a variable is $a and the b variable is $b.
    a=$[$a+1]
done
##########
a="0"
b="5"
while [ $a -lt 10 ]
  do
    echo The a variable is $a and the b variable is $b.
    a=$[$a+1]
done

 

[pilotError]

Not really sure what your looking for

#!/bin/bash
a=0
while [ "$a" -lt 10 ]
  do

    b=0
    while [ "$b" -lt 10 ]
      do
          echo The a variable is $a and the b variable is $b.
          b=$[$b+1]
      done

    a=$[$a+1]
done

 

[pilotError]

If you want to get fancy...

#!/bin/bash
a=0
while [ $a -lt 10 ]
  do

    b=0
    while [ $b -lt 10 ]
      do
          echo The a variable is $a and the b variable is $b.
          (( b+=1 ))
      done

    (( a+=1 ))
done

 

[Big Dave]

When you see the solution, you have one of those: "Why didn't I think of that?" moments.
Thanks for the help!

Dave