Technical Mathematics I - Unit 1

Unit One

# Integers

Unit Objective:
List the integers and determine their position on the line; Add, subtract, multiply, and divide integers; Find reciprocals; Compare any to integers; Determine significant digits; Round to the appropriate place; Evaluate absolute values, powers and roots of integers; Evaluate expressions using order of operations; Simplify integer exponent expressions using exponent rules; Substitute into formulas and evaluate expressions; Use and simplify scientific notation; Convert units of measurement. This unit should take no more than 2 weeks to complete.

*All assignments are in Basic Technical Mathematics With Calculus 7th edition by Allyn J. Washington, 1999.

Method of Evaluation:
The unit test will be a pencil and paper quiz taken at your class site. The test will be administered by the instructor or by a proctor. Please see the course schedule for the exact time and date of the unit test.

Objective One
Understand the meaning of integers, rational, irrational, imaginary and real numbers. Be able to order two real numbers with, <, >, =, and locate their position on a number line. Be able to determine a reciprocal and absolute value.

• Complete Work Exercises 1.1, page 5 #1-25 (odd problems), 29, 31, 33, 35, and 39
• Quick Review sheet 1-1.

Objective Two
Be able to add, subtract, multiply, and divide integers. Be able to follow order of operations.

Objective Three
Be able to determine significant digits and be able to round off. Understand the meaning of approximate numbers. Be able to evaluate expressions on a calculator.

• Complete Work Exercises 1.3, pages 15-16 #1-55 (odd problems), 46, and 48.
• Quick Review sheet 1-3.

Objective Four
Learn the meaning of exponents, the exponent rules, and how to use them. Know where exponents fit in the order of operations.

• Complete Work Exercises 1.4, page 20-21 #1-59 (odd problems).
• Quick Review sheet 1-4.

Objective Five
Learn to convert between scientific notation and ordinary notation.

• Complete Work Exercises 1.5, pages 23 #1-25 (odd problems), 24, 29-35 (odd problems).
• Quick Review sheet 1-5.

Objective Six
Understand and be able to evaluate basic roots and radicals.

• Complete Work Exercises 1.6, page 26 #1-9 (odd problems), 13-19 (odd problems), and 29-41 (odd problems).
• Quick Review sheet 1-6.

Unit Review
Understand and be able to evaluate basic roots and radicals.

• Review Exercises pages 45-46, #1-13, 21-25, 73-77 odd, 97
• Practice Test page 47, #1-4, 15, 16, 18.

Worksheets