To solve these problems, we need to convert between different metric units. Here are the basic rules we will use:
*
Kilo (km, kg): 1 kilo = 1,000 of the base unit. To go from kilo to base, multiply by 1,000. To go from base to kilo, divide by 1,000.
*
Base (m, g, L): The standard unit.
*
Milli (mm, mg, mL): 1 base unit = 1,000 milli units. To go from base to milli, multiply by 1,000. To go from milli to base, divide by 1,000.
*
Centi (cm): 1 meter = 100 centimeters. To go from cm to m, divide by 100. To go from m to cm, multiply by 100.
Let's solve them one by one:
Part 1: Convert to the units shown
1.
2.4 km = _______ cm
* We know 1 km = 1,000 m and 1 m = 100 cm.
* So, 1 km = 1,000 $\times$ 100 = 100,000 cm.
* $2.4 \times 100,000 = 240,000$.
2.
0.96 kg = _______ g
* 1 kg = 1,000 g.
* $0.96 \times 1,000 = 960$.
3.
0.24 kg = _______ g
* 1 kg = 1,000 g.
* $0.24 \times 1,000 = 240$.
4.
96 L = _______ mL
* 1 L = 1,000 mL.
* $96 \times 1,000 = 96,000$.
5.
12 kg = _______ g
* 1 kg = 1,000 g.
* $12 \times 1,000 = 12,000$.
6.
0.97 kg = _______ g
* 1 kg = 1,000 g.
* $0.97 \times 1,000 = 970$.
7.
4.5 kg = _______ g
* 1 kg = 1,000 g.
* $4.5 \times 1,000 = 4,500$.
8.
0.28 L = _______ mL
* 1 L = 1,000 mL.
* $0.28 \times 1,000 = 280$.
9.
0.49 kg = _______ g
* 1 kg = 1,000 g.
* $0.49 \times 1,000 = 490$.
10.
0.48 L = _______ mL
* 1 L = 1,000 mL.
* $0.48 \times 1,000 = 480$.
11.
2.1 m = _______ mm
* 1 m = 1,000 mm.
* $2.1 \times 1,000 = 2,100$.
12.
8.0 kg = _______ g
* 1 kg = 1,000 g.
* $8.0 \times 1,000 = 8,000$.
Part 2: Convert to the units shown
13.
200.0 mL = _______ L
* To go from mL to L, divide by 1,000.
* $200.0 \div 1,000 = 0.2$.
14.
90.00 cm = _______ km
* First, convert cm to m: $90 \div 100 = 0.9$ m.
* Then, convert m to km: $0.9 \div 1,000 = 0.0009$ km.
15.
2,000 m = _______ km
* To go from m to km, divide by 1,000.
* $2,000 \div 1,000 = 2$.
16.
90.00 g = _______ kg
* To go from g to kg, divide by 1,000.
* $90.00 \div 1,000 = 0.09$.
17.
600.0 cm = _______ m
* To go from cm to m, divide by 100.
* $600.0 \div 100 = 6$.
18.
300.0 cm = _______ km
* First, convert cm to m: $300 \div 100 = 3$ m.
* Then, convert m to km: $3 \div 1,000 = 0.003$ km.
19.
80.00 mm = _______ cm
* 1 cm = 10 mm. To go from mm to cm, divide by 10.
* $80.00 \div 10 = 8$.
20.
30.00 g = _______ kg
* To go from g to kg, divide by 1,000.
* $30.00 \div 1,000 = 0.03$.
21.
40.00 mL = _______ L
* To go from mL to L, divide by 1,000.
* $40.00 \div 1,000 = 0.04$.
22.
4,000 mL = _______ L
* To go from mL to L, divide by 1,000.
* $4,000 \div 1,000 = 4$.
23.
70.00 mL = _______ L
* To go from mL to L, divide by 1,000.
* $70.00 \div 1,000 = 0.07$.
24.
6,000 m = _______ km
* To go from m to km, divide by 1,000.
* $6,000 \div 1,000 = 6$.
Final Answer:
1. 240,000
2. 960
3. 240
4. 96,000
5. 12,000
6. 970
7. 4,500
8. 280
9. 490
10. 480
11. 2,100
12. 8,000
13. 0.2
14. 0.0009
15. 2
16. 0.09
17. 6
18. 0.003
19. 8
20. 0.03
21. 0.04
22. 4
23. 0.07
24. 6
Parent Tip: Review the logic above to help your child master the concept of conversions length worksheet.
