Question

1. metric conversions: write the prefixes on the chart below. convert the following measurements.

a. 6.92 mm = ____________ m
b. 8 kg = ____________ dg
c. 35 dam = ____________ km
d. 690 ml = ____________ l
e. 0.068 m = ____________ mm
f. 934 cm = ____________ hm
g. 0.55 l = ____________ ml
h. 6.45 kg = ____________ mg
i. 75 mg = ____________ g

Explanation:

Step1: Recall metric - conversion factors

1 m = 1000 mm, 1 kg = 10000 dg, 1 km = 100 dam, 1 L = 1000 mL, 1 m = 1000 mm, 1 hm = 10000 cm, 1 L = 1000 mL, 1 kg = 1000000 mg, 1 g = 1000 mg.

Step2: Convert 6.92 mm to m

$6.92\div1000 = 0.00692$ m.

Step3: Convert 8 kg to dg

$8\times10000=80000$ dg.

Step4: Convert 35 dam to km

$35\div100 = 0.35$ km.

Step5: Convert 690 mL to L

$690\div1000 = 0.69$ L.

Step6: Convert 0.068 m to mm

$0.068\times1000 = 68$ mm.

Step7: Convert 934 cm to hm

$934\div10000=0.0934$ hm.

Step8: Convert 0.55 L to mL

$0.55\times1000 = 550$ mL.

Step9: Convert 6.45 kg to mg

$6.45\times1000000 = 6450000$ mg.

Step10: Convert 75 mg to g

$75\div1000 = 0.075$ g.

Answer:

a. 0.00692
b. 80000
c. 0.35
d. 0.69
e. 68
f. 0.0934
g. 550
h. 6450000
i. 0.075