Mod 5

Question 1

What is scientific notation?

Answer 1

Scientific notation expresses very large or very small numbers using powers of ten.

Question 2

What is the range for a proper coefficient in scientific notation?

Answer 2

A proper coefficient is ≥1 and <10 multiplied by 10 raised to an integer exponent.

Question 3

What happens when you move the decimal to the left in scientific notation?

Answer 3

Moving the decimal left gives a positive exponent.

Question 4

What happens when you move the decimal to the right in scientific notation?

Answer 4

Moving the decimal right gives a negative exponent.

Question 5

How do you express 41250 in scientific notation?

Answer 5

4.125 × 10⁴

Question 6

Convert 0.000009 to scientific notation.

Answer 6

9 × 10⁻⁶

Question 7

What are significant figures (SF)?

Answer 7

Significant figures include all known digits plus one estimated digit.

Question 8

Are leading zeros significant?

Answer 8

No, leading zeros are NOT significant.

Question 9

Are sandwiched zeros significant?

Answer 9

Yes, sandwiched zeros ARE significant.

Question 10

What is the rule for multiplying/dividing significant figures?

Answer 10

Keep the fewest significant figures.

Question 11

What is the rule for adding/subtracting significant figures?

Answer 11

Match the fewest decimal places.

Question 12

What is the SI system?

Answer 12

The SI system modifies a single base unit by decimal prefixes (powers of ten).

Question 13

List common base units in the metric system.

Answer 13

• meter
• liter
• gram
• second
• Kelvin

Question 14

What does kilo- (k) represent in the metric system?

Answer 14

kilo- (k) = 10³

Question 15

What does centi- (c) represent in the metric system?

Answer 15

centi- (c) = 10⁻²

Question 16

What is the conversion factor for 1 meter in centimeters?

Answer 16

1 m = 100 cm

Question 17

What is the conversion from feet to millimeters?

Answer 17

3.0 ft × 12 in/ft × 2.54 cm/in × 10 mm/cm = 910 mm

Question 18

Define density.

Answer 18

Density (D) = mass / volume

Question 19

What are typical units for density?

Answer 19

g mL⁻¹ or g cm⁻³

Question 20

What is specific gravity?

Answer 20

Specific gravity is the ratio of a sample’s density to water’s (unitless).

Question 21

What density indicates that an object will float in water?

Answer 21

Density < 1 g mL⁻¹

Question 22

What is the method for calculating volume by displacement?

Answer 22

Object volume = Δwater level.

Question 23

How to calculate density from mass and volume?

Answer 23

Density = mass / volume.

Question 24

Convert 1.6 days to minutes.

Answer 24

1.6 d × 24 h/d × 60 min/h = 2.3 × 10³ min

Question 25

How many significant figures does 0.030 m have?

Answer 25

2 significant figures

Question 26

What is the final density of 50.0 g osmium occupying 2.22 cm³?

Answer 26

22.5 g cm⁻³

Question 27

What is the mass of 875 mL octane with a density of 0.702 g mL⁻¹?

Answer 27

0.614 kg

Question 28

Express 5.67 × 10⁻⁴ kg in grams using scientific notation.

Answer 28

5.67 × 10⁻¹ g

Question 29

Convert 0.226 lb to grams (1 lb = 454 g).

Answer 29

103 g

Question 30

What is the density of a metal cube weighing 15.0 g that displaces 4.7 mL of water?

Answer 30

Calculate density and compare with water.