How many significant figures are there in each of the following values?

(a) 6.07 10-15

(b) 463.8052

(c) 0.003840

(d) 300

(e) 17.00

(f) 301

(g) 8 108

(h) 300.

(i) 0.0048

(j) 1.0 102

(k) 0.00480

(l) 1.00 103

(m) 4.80 10-3

(n) 4.800 10-3

2. Round off each of the following numbers to the indicated number of significant digits, and write the answer in standard scientific notation. (a) 0.00034159 to three digits (b) 103.351 102 to four digits

(c) 17.9915 to five digits

(d) 3.365 105 to three digits

3.Use exponential notation to express the number 385,500 to

(a) one significant figure. (b) two significant figures. (c) three significant figures. (d) five significant figures.

Carry out the following mathematical operations, and give each result with the correct number of significant figures.

(a) 1.05 10-3 6.135

(b) 21 - 13.8

(c) 212.2 + 26.7 + 402.09

(d) 1.0028 + 0.221 + 0.10337

(e) 52.331 + 26.01 - 0.9981

(f) 2.01102+3.014103

(g) 7.255 - 6.8350

(h) (0.102 0.0821 273)/1.01

(i) 0.14 6.022 1023

(j) 4.01045.02110-37.34993102(Assume that this operation is taking the average of four numbers. Thus 4 in the denominator is exact.)

(l) 8.9258.905100 8.925

(This type of calculation is done many times in calculating a percentage error. Assume that this example is such a calculation; thus 100 can be considered to be an exact number.)

5.perform each of the following conversions

a) 8.43 cm to millimeters

(b) 2.41 102 cm to meters

(c) 294.5 nm to centimeters

(d) 1.445 104 m to kilometers

(e) 235.3 m to millimeters

(f) 903.3 nm to micrometers

6. (a)

(b) How many nanometers are in 6.50 102 terameters?

(c) How many kilograms are in 25 femtogram?

(d) How many liters are in 8.0 cubic decimeters?

(e) How many microliters are in 1 milliliter?

(f) How many picograms are in 1 microgram?

How many kilograms are in 1 teragram?

7. ThedensityofVenusissimilartothatofEarth.ThemassofVenusis4.91024 3

kg, and its diameter is 12,100 km. Find the density of Venus in g/cm . The 43

volume of a sphere is given by 3r .

A star is estimated to have a mass of 2 1036 kg. Assuming it to be a sphere of average radius 7.0 105 km, calculate the average density of the star in units of grams per cubic centimeter.

A rectangular solid measures 1.0 m by 5.6 cm by 2.1 dm. Express its volume in cubic meters and liters.

10.Consider the addition of 15.4 to 28. What would a mathematician say the answer is? What would a scientist say? Justify the scientist's answer, not merely citing the rule, but explaining it.

11.Consider multiplying 26.2 by 16.43. What would a mathematician say the answer is? What would a scientist say? Justify the scientist's answer, not merely citing the rule, but explaining it.

12.Indicate the number of significant figures in each of the following:

(a) This book contains more than 1000 pages.

(b) A mile is about 5300 ft.

(c) A liter is equivalent to 1.059 qt.

(d) A kilogram is 1000 g.

(e) The Boeing 747 cruises at around 600 mi/h.

(a) As part of a lab assignment to determine the value of the gas constant (R),

a student measured the pressure (P), volume (V), and temperature (T) for a sample of gas, where

The following values were obtained: P = 2.560, T = 275.15, and V = 8.8. (Gases will be discussed later; we will not be concerned at this time about the units for these quantities.) Calculate R to the correct number of significant figures.