Math 320 Practice Exam 3 Worksheet With Answers printable pdf download

Math 320 Practice Exam 3 Worksheet With Answers

Name

Math 320 Practice Exam III

1. Leave answers in exact form unless asked for estimates.

2. NO NOTES.

3. In all problems, show your work if it is needed to justify an answer . Credit may

not be given for an answer alone.

4. There are six problems, totaling 30 points. The value of each problem is indicated.

1. (5pts) Express the repeating decimal 0 725 in fractional form.

There are many possible ways to ﬁnd the solution. Here is one:

= 725

= 72 525252

= 72 52

= 72 525252

= 7252 52

= 9900 = 7252 52

72 52 = 7180

7180

9900

2.(5pts) Name the digit in the 4321st place in the decimal 0 1234567891011121314

There are 9 one digit numbers 1 2

There are 90 two digit numbers 10

99.

There are 900 three digit numbers 100

999.

Notice that this implies that the 9

1 + 90

2 + 900

3 = 2889th place would be

the last digit in the number 999. (This is just an illustrative point; we do not need

this fact.)

We need to look at 4321

2889 = 1432 more digits to ﬁnd the 4321st place in the

decimal 0 1234567891011121314

1432

Now

= 358. Therefore, the 4321st place would be the last digit of the 358th

four digit number. The 358th four digit number is 1357.

The ﬁnal answer is 7.

Math 320 Practice Exam 3 Worksheet With Answers