Question

directions: convert each measurement into the specified unit.

1. 160 cm = __ mm
2. 2500 m = __ km
3. 14 km = __ m
4. 2000 mg = __ g
5. 5.6 kg = __ mg
6. 8 mm = __ cm
7. 198 g = __ kg
8. 16 cm = __ mm

why do we use scientific notation?

Explanation:

Step1: Recall unit - conversion factors

1 cm = 10 mm, 1 km = 1000 m, 1 kg = 1000 g, 1 g = 1000 mg

Step2: Solve problem 1

Convert 160 cm to mm. Since 1 cm = 10 mm, then 160 cm×10 = 1600 mm.

Step3: Solve problem 2

Convert 2500 m to km. Since 1 km = 1000 m, then 2500 m÷1000 = 2.5 km.

Step4: Solve problem 3

Convert 14 km to m. Since 1 km = 1000 m, then 14 km×1000 = 14000 m.

Step5: Solve problem 4

Convert 2000 mg to g. Since 1 g = 1000 mg, then 2000 mg÷1000 = 2 g.

Step6: Solve problem 5

Convert 5.6 kg to mg. Since 1 kg = 1000 g and 1 g = 1000 mg, then 5.6 kg×1000×1000 = 5600000 mg.

Step7: Solve problem 6

Convert 8 mm to cm. Since 1 cm = 10 mm, then 8 mm÷10 = 0.8 cm.

Step8: Solve problem 7

Convert 198 g to kg. Since 1 kg = 1000 g, then 198 g÷1000 = 0.198 kg.

Step9: Solve problem 8

Convert 16 cm to mm. Since 1 cm = 10 mm, then 16 cm×10 = 160 mm.

Scientific notation simplifies large and small numbers, making them easier to write, read, and perform calculations with. It expresses numbers as a product of a number between 1 and 10 and a power of 10.

Answer:

1. 1600 mm
2. 2.5 km
3. 14000 m
4. 2 g
5. 5600000 mg
6. 0.8 cm
7. 0.198 kg
8. 160 mm

For the question "Why do we use scientific notation?":