Week 1 Assignment Part #2 Real Numbers and Operations
Week 1: Real Numbers and Operations Assignment
Textbook: OpenStax Intermediate Algebra
Chapter 1: Review of Real Numbers and Operations
📚 Learning Objectives
By the end of this week, you should be able to:
- Identify and classify real numbers
- Use order of operations correctly
- Apply the properties of real numbers
- Simplify algebraic expressions
🔢 Part 1: Practice Problems
Solve the following problems. Show all your work clearly.
- Classify each number as natural, whole, integer, rational, or irrational.
a. −4-4−4
b. 16\sqrt{16}16​
c. π\piπ
d. 23\frac{2}{3}32​ - Simplify using the order of operations:
a. 5+3×(22−4)5 + 3 \times (2^2 – 4)5+3×(22−4)
b. 18−3(2+4)3\frac{18 – 3(2 + 4)}{3}318−3(2+4)​ - Apply the properties of real numbers to simplify:
a. Use the distributive property: 3(x+4)3(x + 4)3(x+4)
b. Combine like terms: 2x+5−3x+72x + 5 – 3x + 72x+5−3x+7 - Evaluate expressions for a given value:
a. If x=−2x = -2x=−2, evaluate 4×2−3x+14x^2 – 3x + 14×2−3x+1
b. If a=3a = 3a=3 and b=−1b = -1b=−1, evaluate ab−a2ab – a^2ab−a2
💬 Part 2: Assignment
Math is part of everyday life, whether we realize it or not. Think of a real-life situation where you use order of operations or simplify expressions. It could be related to budgeting, cooking, measurements, or another area of daily life.
Describe your example and explain how understanding real number operations or order of operations helped you solve the problem.