In this module we do the arithmetic of the Real Numbers. The real numbers are built up from: the counting numbers, the whole numbers, the integers, the rationals, and the irrationals. As you go through these lessons think about how the operations on each of these sets of numbers are the same and are different from each other.
Most of the visualizations that will be key to your understanding of algebra are introduced in this module. Play with them until you understand their patterns. |
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6.1 The Real Numbers |
- Classify a number as a counting number, whole number, integer, rational number or irrational number.
- Draw a graph of an inequality on the number line.
- Determine if one real number is greater than, less than, or equal to another.
- Find the absolute value, additive inverse, and multiplicative inverse of a real number. |
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6.2 Operations on Integers |
- Add integers with like and unlike signs
- Subtract integers with like and unlike signs
- Multiply integers with like and unlike signs
- Divide integers with like and unlike signs |
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6.3 Operations on Rationals |
- Add and subtract signed fractions and reduce the result to lowest terms.
- Multiply and divide signed fractions and reduce the result to lowest terms.
- Perform addition, subtraction, multiplication, and division of signed decimal numbers. |
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6.4 Roots, Exponents, Irrationals |
- Evaluate an exponential expression with an integer base
- Simplify a radical expression
- Add and subtract expressions involving radicals |
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6.5 Additional Assignments |
- Apply the order of operations to calculate expressions including real numbers.
- Identify the appropriate property of real numbers illustrated in an example.
- Simplify word problems involving the four basic operations, exponents, and radicals.
- Convert between the scientific and standard form of a number. |
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