7. perform the following metric conversions:
1) 300cm = ______ m
2) 0.2m = ______ cm
3) 500ml = ______ l
4) 1,000ml = ______ l
5) 0.1g = ______ mg
6) 22g = ______ kg
7) 200mm = ______ cm
8) 5,000mm = ______ m
9) 4l = ______ ml
10) 50ml = ______ cl
11) 2kg = ______ g
12) 40kg = ______ g
13) 0.63m = ______ cm
14) 18,000m = ______ km
15) 1,000cl = ______ ml
16) 75mg = ______ cg
17) 1kg = ______ mg
18) 500km = ______ m
19) 750km = ______ cm
20) 10kl = ______ l
21) 1ml = ______ cl
22) 17g = ______ cg

Question

Accepted Answer

# Explanation:
## Step1: Recall metric conversion factors
For length: $1m = 100cm$, $1cm = 10mm$, $1km = 1000m$, $1m = 100cm$, $1km = 100000cm$
For volume: $1L = 1000mL$, $1L = 100cL$, $1kL = 1000L$, $1mL = 0.1cL$
For mass: $1kg = 1000g$, $1g = 1000mg$, $1g = 100cg$, $1kg = 10^6mg$

## Step2: Solve each conversion (taking question 6 as example: $22g$ to $kg$)
Metric factor: $1kg = 1000g$, so to convert $g$ to $kg$, divide by $1000$ (or multiply by $10^{-3}$)
$22g = 22\times10^{-3}kg = 0.022kg$

(For question 7: $200mm$ to $cm$)
$1cm = 10mm$, so divide by $10$: $200\div10 = 20cm$

(For question 8: $5000mm$ to $m$)
$1m = 1000mm$, so divide by $1000$: $5000\div1000 = 5m$

(For question 9: $4L$ to $mL$)
$1L = 1000mL$, so multiply by $1000$: $4\times1000 = 4000mL$

(For question 10: $50mL$ to $cL$)
$1cL = 10mL$, so divide by $10$: $50\div10 = 5cL$

(For question 11: $2kg$ to $g$)
$1kg = 1000g$, so multiply by $1000$: $2\times1000 = 2000g$

(For question 12: $40kg$ to $g$)
$1kg = 1000g$, so $40\times1000 = 40000g$

(For question 13: $0.63m$ to $cm$)
$1m = 100cm$, so $0.63\times100 = 63cm$

(For question 14: $18000m$ to $km$)
$1km = 1000m$, so $18000\div1000 = 18km$

(For question 15: $1000cL$ to $mL$)
$1L = 100cL$ and $1L = 1000mL$, so $1cL = 10mL$
$1000cL = 1000\times10 = 10000mL$

(For question 16: $75mg$ to $cg$)
$1g = 1000mg$ and $1g = 100cg$, so $1mg = 0.1cg$
$75mg = 75\times0.1 = 7.5cg$

(For question 17: $1kg$ to $mg$)
$1kg = 1000g$, $1g = 1000mg$, so $1kg = 1000\times1000 = 10^6mg$

(For question 18: $500km$ to $m$)
$1km = 1000m$, so $500\times1000 = 500000m$

(For question 19: $750km$ to $cm$)
$1km = 100000cm$, so $750\times100000 = 75000000cm$

(For question 20: $10kL$ to $L$)
$1kL = 1000L$, so $10\times1000 = 10000L$

(For question 21: $1mL$ to $cL$)
$1cL = 10mL$, so $1\div10 = 0.1cL$

(For question 22: $17g$ to $cg$)
$1g = 100cg$, so $17\times100 = 1700cg$

### Full Answers (selected questions):
6) $22g = \boldsymbol{0.022}kg$
7) $200mm = \boldsymbol{20}cm$
8) $5000mm = \boldsymbol{5}m$
9) $4L = \boldsymbol{4000}mL$
10) $50mL = \boldsymbol{5}cL$
11) $2kg = \boldsymbol{2000}g$
12) $40kg = \boldsymbol{40000}g$
13) $0.63m = \boldsymbol{63}cm$
14) $18000m = \boldsymbol{18}km$
15) $1000cL = \boldsymbol{10000}mL$
16) $75mg = \boldsymbol{7.5}cg$
17) $1kg = \boldsymbol{10^6}mg$ (or $1000000$)
18) $500km = \boldsymbol{500000}m$
19) $750km = \boldsymbol{75000000}cm$
20) $10kL = \boldsymbol{10000}L$
21) $1mL = \boldsymbol{0.1}cL$
22) $17g = \boldsymbol{1700}cg$

(Note: The original image had some pre-filled answers; the above solves all blank ones using metric conversion rules.)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Recall metric conversion factors

Step2: Solve each conversion (taking question 6 as example: \(22g\) to \(kg\))

Full Answers (selected questions):

Answer:

Step1: Recall metric conversion factors

Step2: Solve each conversion (taking question 6 as example: \(22g\) to \(kg\))

Full Answers (selected questions):