Question

convert the following using moving decimals
1 change 1.32 km to m
2 change 212 m to mm
3 change 69.01 kg to mg
4 change 5 cm to km
5 change 3.77 dm to mm
6 change 41 g to kg
7 change 0.369 m to cm
8 change 111.2 km to m
9 change 0.002 cm to m
10 change 3.5 hm to dm
11 change 78.04 g to mg
12 change 21 m to km
13 change 0.428 km to cm
14 change 2945 mm to cm
15 change 4.02 m to hm

Explanation:

Step1: Recall metric - conversion factors

1 km = 1000 m, 1 m = 1000 mm, 1 kg = 1000000 mg, 1 km = 100000 cm, 1 dm = 100 mm, 1 kg = 1000 g, 1 m = 100 cm, 1 hm = 10000 dm, 1 g = 1000 mg, 1 m = 0.001 km, 1 km = 100000 cm, 1 cm = 10 mm, 1 m = 0.00001 hm.

Step2: Convert 1.32 km to m

Since 1 km = 1000 m, then 1.32 km = 1.32×1000 m = 1320 m.

Step3: Convert 212 m to mm

Since 1 m = 1000 mm, then 212 m = 212×1000 mm = 212000 mm.

Step4: Convert 69.01 kg to mg

Since 1 kg = 1000000 mg, then 69.01 kg = 69.01×1000000 mg = 69010000 mg.

Step5: Convert 5 cm to km

Since 1 km = 100000 cm, then 5 cm = 5÷100000 km = 0.00005 km.

Step6: Convert 3.77 dm to mm

Since 1 dm = 100 mm, then 3.77 dm = 3.77×100 mm = 377 mm.

Step7: Convert 41 g to kg

Since 1 kg = 1000 g, then 41 g = 41÷1000 kg = 0.041 kg.

Step8: Convert 0.369 m to cm

Since 1 m = 100 cm, then 0.369 m = 0.369×100 cm = 36.9 cm.

Step9: Convert 111.2 km to m

Since 1 km = 1000 m, then 111.2 km = 111.2×1000 m = 111200 m.

Step10: Convert 0.002 cm to m

Since 1 m = 100 cm, then 0.002 cm = 0.002÷100 m = 0.00002 m.

Step11: Convert 3.5 hm to dm

Since 1 hm = 10000 dm, then 3.5 hm = 3.5×10000 dm = 35000 dm.

Step12: Convert 78.04 g to mg

Since 1 g = 1000 mg, then 78.04 g = 78.04×1000 mg = 78040 mg.

Step13: Convert 21 m to km

Since 1 km = 1000 m, then 21 m = 21÷1000 km = 0.021 km.

Step14: Convert 0.428 km to cm

Since 1 km = 100000 cm, then 0.428 km = 0.428×100000 cm = 42800 cm.

Step15: Convert 2945 mm to cm

Since 1 cm = 10 mm, then 2945 mm = 2945÷10 cm = 294.5 cm.

Step16: Convert 4.02 m to hm

Since 1 hm = 100 m, then 4.02 m = 4.02÷100 hm = 0.0402 hm.

Answer:

1. 1320 m
2. 212000 mm
3. 69010000 mg
4. 0.00005 km
5. 377 mm
6. 0.041 kg
7. 36.9 cm
8. 111200 m
9. 0.00002 m
10. 35000 dm
11. 78040 mg
12. 0.021 km
13. 42800 cm
14. 294.5 cm
15. 0.0402 hm