Order Measurements: Converting mm, cm, m, and dm to Compare Lengths

To solve this problem, we'll convert each measurement to millimeters and order them accordingly.

Step-by-step solution:

• Convert each measurement to millimeters:
• $60$ mm is already in millimeters.
• $8$ cm: Since $1$ cm equals $10$ mm, $8$ cm is $8 \times 10 = 80$ mm.
• $0.1$ m: Since $1$ m equals $1000$ mm, $0.1$ m is $0.1 \times 1000 = 100$ mm.
• $0.09$ dm: Since $1$ dm equals $100$ mm and $0.09$ dm equals $0.09 \times 100 = 9$ mm.
• List the lengths in millimeters: $9$ mm (from $0.09$ dm), $60$ mm, $80$ mm (from $8$ cm), $100$ mm (from $0.1$ m).
• Order the original measurements from smallest to largest:
• $0.09$ dm
• $60$ mm
• $8$ cm
• $0.1$ m

Therefore, the solution to the problem is:

$0.09$ dm
$60$ mm
$8$ cm
$0.1$ m