Order Mixed Metric Units: Comparing 0.06m, 9cm, 70mm, and 0.08dm

To solve this problem, we'll convert all the lengths to meters so that they can be directly compared:

• Convert $0.06$ m to meters.
  Since it's already in meters, it remains $0.06$ m.

• Convert $9$ cm to meters.
  Since $1$ cm equals $0.01$ m, $9$ cm equals $9 \times 0.01 = 0.09$ m.

• Convert $70$ mm to meters.
  Since $1$ mm equals $0.001$ m, $70$ mm equals $70 \times 0.001 = 0.07$ m.

• Convert $0.08$ dm to meters.
  Since $1$ dm equals $0.1$ m, $0.08$ dm equals $0.08 \times 0.1 = 0.008$ m.

Now, we can list them in ascending order of meters:

1. $0.08$ dm = $0.008$ m
2. $0.06$ m
3. $70$ mm = $0.07$ m
4. $9$ cm = $0.09$ m

Therefore, ordered from smallest to largest, the measurements are:

$0.08$ dm
$0.06$ m
$70$ mm
$9$ cm