Question

1. 0.35 m = ______ μm measurement =
2. 25 cg = ______ g measurement =
3. 400 mg = ______ kg (hint: 2 prefixes will need 2 conversions) measurement =
4. 30 cm = ______ mm measurement =
5. 0.156 ms = ______ s measurement =
6. 15 m = ______ dm measurement =
7. 0.75 l = ______ ml measurement =
8. 6.4 kg = ______ g measurement =
9. 7200 mol = ______ cmol measurement =
10. 4.2 l = ______ cm³ measurement =

Explanation:

Step1: Recall metric - prefix conversion factors

1 m = 10^6 μm, 1 cg=10^(-2) g, 1 mg = 10^(-3) g, 1 g = 10^(-3) kg, 1 cm = 10 mm, 1 Ms = 10^6 s, 1 m = 10 dm, 1 L = 1000 mL, 1 kg = 1000 g, 1 mol = 100 cmol, 1 L = 1000 cm³.

Step2: Convert 0.35 m to μm

0.35×10^6 = 350000 μm

Step3: Convert 25 cg to g

25×10^(-2)=0.25 g

Step4: Convert 400 mg to kg

First, 400 mg = 400×10^(-3) g = 0.4 g. Then, 0.4 g=0.4×10^(-3) kg = 4×10^(-4) kg

Step5: Convert 30 cm to mm

30×10 = 300 mm

Step6: Convert 0.156 Ms to s

0.156×10^6 = 156000 s

Step7: Convert 15 m to dm

15×10 = 150 dm

Step8: Convert 0.75 L to mL

0.75×1000 = 750 mL

Step9: Convert 6.4 kg to g

6.4×1000 = 6400 g

Step10: Convert 7200 mol to cmol

7200×100 = 720000 cmol

Step11: Convert 4.2 L to cm³

4.2×1000 = 4200 cm³

Answer:

1. 350000
2. 0.25
3. 4×10^(-4)
4. 300
5. 156000
6. 150
7. 750
8. 6400
9. 720000
10. 4200