## Homework Assignments

I. 6/28 1. Express 1974 in Roman numerals.

2. Express CMXCIX in Arabic numerals.

3. Express 57,639,482 in English

4. Express three hundred sixty-seven million, four hundred seven thousand two hundred in Arabic numerals.

5. Make up a table of single digit base ten addition facts.

6. Explain

II. 6/29 1. Make up a table of single digit base ten subtraction facts.

2. Explain

3. Make up a table of base ten multiplication facts

4. Explain

III. 6/30 1. Explain

2. Prepare a table of powers where the powers go from 1 - 9 and the bases go from 0 - ten.

3. Prepare a table of single digit addition facts for base six.

4.

5. Prepare a table of single digit subtraction facts (including the borrowing facts) for base six.

6.

IV. 7/1 1. Prepare a table of single digit multiplication facts for base six.

2.

3.

 4 6 + (-1) 5 3 + (-7) 6 -2 + (-3) 7 5 - 3 8 4 - 7 9 5 - (-3) 10. -4 - (-7) 11 4x(-3) 12 -5x(-2) 13 12/(-2) 14. -8/4 15. -16/(-8)

V. 7/6 1. Use the Euclidean Algorithm to reduce the following fractions

 a) 16/24 b) 27/63 c) 161/203 d) 418/1127

2. For each of the fractions in 1. express the GCD of the top and bottom as a difference of multiples of the top and bottom.

VI. 7/7 1. Run the Sieve of Eratosthenes through the numbers 2 - 150

2. Break the following numbers into products of primes:

30, 48, 90, 224, 271, 99999

3.Use products of primes to reduce the following fractions.

18/24, 30/36, 176/308, 85365/99999

 4 5 6

VII. 7/8 1. Do the following multiplication and division of fractions problems.

2. Which fraction is bigger 3/5 or 10/17?

3. Find a fraction between 3/5 and 10/17.

VIII. 7/12 1. Express 27/100 as a decimal.

2. Express 4.372 as a fraction. Reduct to lowest terms.

3. Add 2.32 + .017 + .45

4. 5 - 3.78

5. .54 x 3.7

6. 3.874 / 1.6

7. 14.26 / 3.7

8. Express 3/4 as a decimal.

9. express 5/14 as a decimal.

10. Express .243243243243243. . . (Repeating 243s) as a fraction reduced to lowest terms.

11. Compute the square root of 2345.

IX. 7/13 1. Compute the square root of 3. Round to 4 places after the decimal.

X. 7/14 Given the following scores

36, 44, 20, 48, 20, 40, 32, 28

1. Rank the scores
2. Find the range
3. Make up a frequency distribution
4. Graph the frequency distribution
5. Make a stem and leaf plot
6. Find the mean, median mode
7. Find the upper and lower quartiles
8. Make a box and whisker plot
9. Find the interquartile range, variance, and standard deviation
10. Are there any outliers?

XI. 7/15 1. List all the subsets of {a, b, c, d, e}

2. Write out Pascal's Triangle to the 14th row.

3. Let

• U = {a, b, c, d, e, f, g},
• A = {a, b, c, f, g},
• B = {c, d, e, f}

Find

4. Find

1. C(6, 2)
2. C(8, 5)
3. C(14,3)
4. C(23,7)

XII. 7/20 1. What is the probablility of being dealt a full house in a poker game?

2. What is the probability of being dealt at least one pair in a poker game?

3. A pair of fair dice are rolled. What is the probability that the sum of the numbers on the top faces is

• divisible by 2
• divisible by 3
• divisible by 5?

4. 4 coins are tossed. What is the probability that at least 3 of the coins land heads up?