Question

Convert the following to the same units. Then rank them from smallest to largest.

501 mm
45 cm
17.5 m
0.5 km
a) 0.5 km, 501 mm, 45 cm, 17.5 m
b) 501 mm, 45 cm, 0.5 km, 17.5 m
c) 17.5 m, 0.5 km, 45 cm, 501 mm
d) 501 mm, 45 cm, 17.5 m, 0.5 km

Answer 1

To rank the given measurements from smallest to largest, convert them to the same units. The correct ranking is 501 mm, 45 cm, 0.5 km, 17.5 m.

Step-by-step explanation:

To rank the given measurements from smallest to largest, we need to convert them to the same units. Let's convert them all to meters.

1 km = 1000 m

1 m = 100 cm

1 cm = 10 mm

1. 0.5 km = 0.5 × 1000 m = 500 m
2. 501 mm = 501 ÷ 10 mm = 50.1 cm = 0.501 m
3. 45 cm = 45 ÷ 100 m = 0.45 m
4. 17.5 m = 17.5 m

So, the converted measurements in meters are:

1. 0.5 km = 500 m
2. 501 mm = 0.501 m
3. 45 cm = 0.45 m
4. 17.5 m = 17.5 m

Now that the measurements are in the same units, we can rank them from smallest to largest: 501 mm, 45 cm, 17.5 m, 0.5 km. Therefore, the correct answer is (b) 501 mm, 45 cm, 0.5 km, 17.5 m.