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How many significant figures are there in each of the following measurements? •4.72006 s •0.0003 km •400 mL •320.0 mg

How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

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Page 1: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

How many significant figures are there in each of the following measurements? •4.72006 s•0.0003 km•400 mL•320.0 mg

Page 2: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

How many significant figures are there in each of the following measurements? •4.72006 s (6 significant figures)•0.0003 km (1 significant figure)•400 mL (1 significant figure)•320.0 mg (4 significant figures)

Page 3: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Round each measurement to the number of significant figures indicated: •4.7259 cm to three significant figures•7000 g to five significant figures•0.0003 km to four significant figures

Page 4: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Round each measurement to the number of significant figures indicated: •4.7259 cm to three significant figures (4.73 cm)•7000 g to five significant figures (7000.0 g)•0.0003 km to four significant figures (0.0003000 km)

Page 5: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Calculate the sums and differences with the appropriate number of significant figures:•475.30 g + 300 g =•723.4 mm -145.0030 mm =

Page 6: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Calculate the sums and differences with the appropriate number of significant figures:•475.30 g + 300 g = 800 g•723.4 mm -145.0030 mm = 578.4 mm

Page 7: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Calculate the following multiplication and division problems with proper significant figures:

•372.4 cm x 24.3 cm x 13.20 cm =

•45.0 g/ 72.5 mL =

Page 8: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Calculate the following multiplication and division problems with proper significant figures:

•372.4 cm x 24.3 cm x 13.20 cm = 119,000 cm^3

•45.0 g/ 72.5 mL = 0.621 g/mL

Page 9: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Express the following numbers in scientific notation: •475,000,000 (answer with three significant figures)•0.000325•62.40•0.02030

Page 10: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Express the following numbers in scientific notation: •475,000,000 (answer with three significant figures)

4.75 x 10^8•0.000325

3.25 x 10^-4•62.40

6.240 x 10^1•0.02030

2.030 x 10^-2

Page 11: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Convert the following numbers from scientific notation to standard notation•4.75x10^5

•3.0425x10^-3

•4.8x10^10

Page 12: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Convert the following numbers from scientific notation to standard notation•4.75x10^5

475,000•3.0425x10^-3

0.0030425•4.8x10^10

48,000,000,000

Page 13: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Convert 1000 mL to liters.

Page 14: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Convert 1000 mL to liters.

“milli-” means 1/1000. So, 1000 mL = 1 L

Page 15: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Convert 3542 ft to miles

Page 16: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Convert 3542 ft to miles

Start with what you know: 3542 ftThen state what you want to know: How many miles?There are 5280 ft in 1 mile. Therefore, 5280 ft. = 1 mileSo, 5280 ft/1mile = 1 = 1 mile/5280 ft.

3542 ft. x 1 mile/5280 ft. = 0.6708 miles

Page 17: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Convert 100 cm to meters

Page 18: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Convert 100 cm to meters

“centi-” means 1/100, so 100 cm = 1 meter

Page 19: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Convert 11 inches to feet.

Page 20: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Convert 11 inches to feet.

Start with what you know: 11 inches.Then state what you want to know: How many feet?There are 12 inches in 1 ft. Therefore, 12 inches = 1 ft. So, 12 inches/1 ft. = 1 = 1 ft./12 inches

11 in. x 1 ft./12 in. = 0.92 ft.

Page 21: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Convert 14.6 km to meters

Page 22: How many significant figures are there in each of the following measurements? 4.72006 s 0.0003 km 400 mL 320.0 mg

Convert 14.6 km to meters

Start with what you know: 14.6 km.Then state what you want to know: How many meters?There are 1000 m in 1 km. Therefore, 1000 m = 1 km So, 1000 m/1 km = 1 = 1 km/1000 m

14.6 km x 1000 m/1 km = 14,600 m