Question

it is important to be able to understand an-d compare measurements with different metric units.

1. circle the greater measurement.

a) 450 m or 4.5 km
b) 1 m or 120 cm
c) 25 mm or 0.25 m
d) 100 m or 0.5 km
e) 300 cm or 0.5 m
f) 50 mm or 0.5 cm

Explanation:

Part (a)

Step1: Convert 4.5 km to meters

We know that \( 1\space km = 1000\space m \), so to convert kilometers to meters, we multiply by 1000. So, \( 4.5\space km = 4.5\times1000\space m = 4500\space m \)

Step2: Compare 450 m and 4500 m

Since \( 450 < 4500 \), \( 4.5\space km \) is greater.

Step1: Convert 1 m to centimeters

We know that \( 1\space m = 100\space cm \)

Step2: Compare 100 cm and 120 cm

Since \( 100 < 120 \), \( 120\space cm \) is greater.

Step1: Convert 0.25 m to millimeters

We know that \( 1\space m = 1000\space mm \), so \( 0.25\space m=0.25\times 1000\space mm = 250\space mm \)

Step2: Compare 25 mm and 250 mm

Since \( 25<250 \), \( 0.25\space m \) is greater.

Answer:

\( 4.5\space km \)

Part (b)