Example 29. Express in decimals:

        (a)  (b)  (c)  (d) 

        Answers: (a) 

        (b) 

        (c) 

        (d) 

Example 30. Round the 3.14678238 to nearest:

        (a) tenth (b) hundredth (c) thousandth (d) ten thousandth

        Answers: (a) 3.1 (b) 3.15 (c) 3.147 (d) 3.1468

Example 31. Write the following sum in decimal form:

        Answers: 

Example 32. If 70% = 420 what is:

        (a) 150% (b) 50% (c) 2 % (d) 75%

        Answers: 1% = 420/70 = 6

        (a) 150% = 150 x 6 = 900

        (b) 50% = 50 x 6 =300

        (c) 2 % = 2 x 6 = 12

        (d) 75% = 75 x 6 = 450

Example 33. Write the following numbers in words:

        (a) 4345678320 (b) 12345.678 (c) 123456789

        Answers:                 (a) 4,345,678,320:

            (four billion, three hundred & forty-five, six hundred & seventy-eight, three hundred & twenty)

        (b) 12,345,678:

            (twelve million, three hundred & forty-five, six hundred & seventy-eight)

        (c) 123,456,789:

            (one hundred & twenty-three thousand, four hundred & fifty-six, seven hundred & eighty-nine)

Example 34: Use "<" or ">" to compare the following fractions:

        (a) 7/12 and 8/16 (b) 29/50 and 49/100 (c) 25/52 and 50/102

        Answers: (a) 

        (b) 

        (c) 

Example 29. Write each number in scientific notation:

        (a) 123 (b) 45671 (c) 21300 (d) 4345678320 (e) 10000000

        Answers: (a) 1.23 x 10²

        (b) 4.5671 x 10⁴

        (c) 2.13 x 10⁴

        (d) 4.3456.. X 10⁹

        (e) 1.0 x 10⁷

Example 35. Compute the following:

        (a) 154.63 x 1.571 (b) divide 6000 by 1.7 (c) 154.63 + 1.571

        Answers: (a) 242.92373

        (b) 

        (c) 156.201

Example 36. Express the following as fractions:

        (a)  (b) 0.1818181818.. (c) 0.47121212... (d) 0.45315961596..

        (a)  (b)  (c)  (d) 

Example 37. Is the decimal expansion of 143 / 8,345,415,131 terminating or non terminating?
How can you tell without computing the decimal expansion?

        (nontermin: denominator not divisible by 2 or 5)

        Answers: So non terminating

Example 38. Express each fraction as a decimal:

        (a) 1 / 100 (b) 1 / 10,000 (c) 1 /1000000 (c) 0.01/ 100

        Answers: (a) 0.01 (b) 0.0001 (c) 0.000001 (d) 0.0001

Example 39. If T is proportional to C and there are 10 T's when there are 12 C's,
How many C must there be when there are 69 T's?

        Answers:

Example 40. It takes 1.5 dozen egg whites to bake a Super D Egg Nog;
how many eggs is needed to make 12 Super D?

        Answers: 1.5 doz. eggs or 1.5 x 12 = 18 eggs = 1 Super D