Chapter 1, Problem 1.68E

1.29 Divide these numbers, using the correct number of significant figures in your answer: (a) 3.1852.08 (b) 6.53.0012 (c) 0.00357.348

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.

Will the power of 10 have a positive, negative, or zero exponent when each of the following numbers is rewritten in standard scientific notation? a. 0.7229 c. 0.00372 b. 5.408 d. 6,319,423

Determine whether each statement that follows is true or false: a The SI system includes metric units. b If two quantities are expressed in an equivalency, they are directly proportional to each other. c The scientific notation form of a number smaller than 1 has a positive exponent. d In changing a number in scientific notation whose coefficient is not between 1 and 10 to standard scientific notation, the exponent becomes smaller if the decimal in the coefficient is moved to the right. e There are 1000 kilounits in a unit. f There are 10 milliunits in a centiunit g There are 1000 milliliters in a cubic centimeter. h The mass of an object is independent of its location in the universe. i Celsius degrees are smaller than Fahrenheit degrees. j The uncertain digit is the last digit written when a number is expressed properly in significant figures. k The quantity 76.2 g means the same as 76.200 g. l The number of significant figures in a sum may be more than the number of significant figures in any of the quantities added. m The number of significant figures in a difference may be fewer than the number of significant figures in any of the quantities subtracted. n The number of significant figures in a product may be more than the number of significant figures in any of the quantities multiplied. o The process of analysis of a problem statement includes describing the properties of the given and wanted quantities. p If the quantity in the answer to a problem is familiar, it is not necessary to check to make sure the answer is reasonable. q Conversion factors can be used to change from one unit to another only when the quantities are directly proportional. r When you are learning chemistry, you should check the solution to each problem you solve at two levels: 1 is the value reasonable? 2 what new knowledge or skill did I obtain or improve? s There is no advantage to using units in a problem that is solved by algebra. t A Fahrenheit temperature can be changed to a Celsius temperature by multiplying by a conversion factor.

Express each of the following numbers in exponential notation with correct significant figures: 704 0.03344 547.9 22086 1000.00 0.0000000651 0.007157

Will the power of 10 have apositiveor anegativeexponent when each of the following numbers is rewritten in standard scientific notation? 42,751 1253 0.002045 0.1089

Underline the significant zeros in the following numbers:(a) 0.41     (b) 0.041     (c) 0.0410     (d) 4.0100×104

Write the numbers in scientific notation. 291.7=291.7=   ×10?×10x where ?=x=     0.0960=0.0960=   ×10?×10x where ?=x=