Question

use the prefix conversions and dimensional analysis (dont sim measurements below as indicated. you can use scientific notati 1) 40 ml to l 2) 5400 l to kl 3) 85 g to kg 4) 52 mg to g 5) 6300 m to km 6) 2.50 kg to g 7) 18,600 g to kg 8) 544 ml to l 9) 1.92 l to ml 10) 425 cm to m

Explanation:

Step1: Recall conversion factor

We know that $1\ L = 1000\ mL$, so to convert $40\ mL$ to $L$, we divide by 1000. The calculation is $40\div1000 = 0.04\ L$.

Step2: Recall conversion factor for liters

Since $1\ kL=1000\ L$, to convert $5400\ L$ to $kL$, we divide by 1000. So $5400\div1000 = 5.4\ kL$.

Step3: Recall conversion factor for grams

As $1\ kg = 1000\ g$, to convert $85\ g$ to $kg$, we divide by 1000. Thus $85\div1000=0.085\ kg$.

Step4: Recall conversion factor for milligrams

Given $1\ g = 1000\ mg$, to convert $52\ mg$ to $g$, we divide by 1000. So $52\div1000 = 0.052\ g$.

Step5: Recall conversion factor for meters

Since $1\ km = 1000\ m$, to convert $6300\ m$ to $km$, we divide by 1000. Then $6300\div1000 = 6.3\ km$.

Step6: Recall conversion factor for kilograms

As $1\ kg=1000\ g$, to convert $2.50\ kg$ to $g$, we multiply by 1000. So $2.50\times1000 = 2500\ g$.

Step7: Recall conversion factor for grams

Since $1\ kg = 1000\ g$, to convert $18600\ g$ to $kg$, we divide by 1000. Thus $18600\div1000 = 18.6\ kg$.

Step8: Recall conversion factor for milliliters

Given $1\ L = 1000\ mL$, to convert $544\ mL$ to $L$, we divide by 1000. So $544\div1000 = 0.544\ L$.

Step9: Recall conversion factor for liters

Since $1\ L=1000\ mL$, to convert $1.92\ L$ to $mL$, we multiply by 1000. Then $1.92\times1000 = 1920\ mL$.

Step10: Recall conversion factor for centimeters

As $1\ m = 100\ cm$, to convert $425\ cm$ to $m$, we divide by 100. So $425\div100 = 4.25\ m$.

Answer:

1. $0.04\ L$
2. $5.4\ kL$
3. $0.085\ kg$
4. $0.052\ g$
5. $6.3\ km$
6. $2500\ g$
7. $18.6\ kg$
8. $0.544\ L$
9. $1920\ mL$
10. $4.25\ m$