Review for Arithmetic of Real Numbers Knowledge Check
Introduction
On the Arithmetic of Real Numbers Knowledge Check, you will be assessed on the following content learning outcomes for MATH 096:
- Classify numbers as natural, integer, whole, irrational, rational, and real.
- Evaluate and simplify arithmetic expressions without the use of a calculator.
- Simplify algebraic expressions using the properties of real numbers.
- Evaluate algebraic expressions.
Section 1: Classifying Numbers
In this first section, you will practice classifying numbers as natural/counting, integers, whole, irrational, rational, and real numbers.
1.1
From the set of numbers below, list the ⓐ whole numbers, ⓑ integers, ⓒ rational numbers, ⓓ irrational numbers, ⓔ real numbers for each set of numbers.
-8, 0, 1.95286..., , , 9
1.2
From the set of numbers below, list the ⓐ whole numbers, ⓑ integers, ⓒ rational numbers, ⓓ irrational numbers, ⓔ real numbers for each set of numbers.
-9, , , , , 0.77, 7, ,
Section 2: Order of Operations
In this section section, the review questions will focus on simplifying expressions using the order of operations.
2.1
Simplify.
2.2
Simplify.
2.3
Simplify.
2.4
Simplify.
Section 3
Section three will focus on simplify algebraic expressions by removing parentheses and combining like terms.
3.1
Simplify.
3.2
Simplify.
3.3
Simplify.
3.4
Simplify.
3.5
Simplify.
Section 4: Evaluating Algebraic Expressions
In section 4, you will focus on reviewing how to evaluate algebraic expressions for the given value of the variable.
4.1
Evaluate , when a= -6 and b= -3
4.2
Evaluate when x=4 and y=2.