Rank the following measurements from shortest to longest:
1583 cm, 0.0128 km, 17,931 mm, 14 m

0.0128 Km < 14 m < 1583 cm < 17931 mm

Explanation:

The decreasing order of length is :

Kilometer (Km)

Hectameter(Hm)

Decameter(Dam)

Meter(m)

Decimeter(dm)

Centimeter(cm)

Millimeter(mm)

The largest unit is = Km and smallest is =mm

On going down Multiply each time by 10. for example : 1 Km = 10 Hm,

1Km = 100 Hm (10 x10)

1Km = 1000 m(10 x 10x 10)

Convert each number into the smallest unit (i.e mm)

1. 1583 cm to mm

1 cm = 10 mm

1583 cm = 1583 x 10 = 15830 mm

1583 cm = 15830 mm

2. 0.0128 Km to mm

1 Km = 1000000 mm

0.0128 Km = 0.0128 x 1000000 mm

0.0128 Km = 12800 mm

3.17,931 mm = 17,931 mm(already in mm)

4.

14 m to mm

1 m = 1000 mm

14 m = 14 x 1000 mm

= 14000 mm

Now compare :

15830 mm, 12800 mm , 17,931 mm ,14000 mm

Order is :

12800<14000<15830 <17931

So , the correct order is :

0.0128 Km < 14 m < 1583 cm < 17931 mm

Explanation: