### Intro to Modern Mathematics

### Fall 2012

## Homework

1. 8/27 In the following figures, find the length of the side marked *x*.

2.8/29 The following figure is a regular pentagram. Fill in all the angles.

3. 9/5 pp70-73: 1, 7, 8, 10, 16.

4. 9/10 Run the Seive of Eratosthenes through the first 100 numbers. pp92-93: 1, 6, 7, 13, 15.

5. 9/12 Express the following numbers as products of primes: 48, 77, 131, 441, 1001, 2012.

6. 9/17 Use products of primes to reduce the following fractions. 16/40, 38/323, 185/999, 82/99,999, 142,857/999,999.

9/19 Change the following fractions to decimals:

5/8, 14, 25, 6/11, 17/27, 16/41, 1/13.

Take the decimals out until they start to repeat.

Change the following decimals to fractions and reduce:

9/26 p106: 1, 6, 7, 8. Make up addition and multiplication tables for clock arithmetic mod 4, 5, 6, 7, 8, 9, 10, 11, 12.