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Solve and show your work for each question a). B). C).

Solve and show your work for each question a). B). C).-example-1

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Answer:

Explanation:

a) Here, the first term is .48 and the common ratio is 1/100 (since each new 48 is 1/100 th of the previous 48). a

Use the formula s = sum of geometric series = -----------

1 - r

0.48 48

which in this case is s = --------------- = ------------ = 48/99 = 16/33

1 - 1/100 100 - 1

Check this result by finding 16/33 on a calculator. Is the result equal to 0.484848484848.... ? Yes

b) Here we have the bar over the 8 only. 0.48 with the bar over the 8 is equivalent to 0.4888888888 ...

0.08

or 0.4 + 0.0888888888 ... or 0.4 + ------------

1 - 1/10

0.08 8

and this simplifies to 0.4 + ------------ = 0.4 + ---------

9/10 90

Evaluating this last result on a calculator results in 0.488888888 ...

c) 0.48 expressed as a fraction is 48/100 = 12/25

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