Results

Part 1: Closure property of whole numbers with specific reference to adding, subtracting, multiplying and dividing whole numbers
Part 2: Examples of closure property of whole numbers
Part 3: Common mistakes and misconceptions

Part 1: Commutative property of whole numbers under addition, subtraction, multiplication and division 
Part 2: Examples of commutative property of whole numbers under addition and multiplication
Part 3: Common mistakes and misconceptions

Part 1: Distributive property of multiplication over the addition and subtraction of whole numbers
Part 2: Examples of the distributive property of multiplication over the addition and subtraction of whole numbers
Part 3: Common mistakes made and misconceptions

By the end of this unit you will be able to:

• Understand when to use Venn diagrams.
• Draw Venn diagrams.
• Interpret Venn diagrams.

Use the dynamic worksheet to practice simplifying expressions with fractional exponents, rewriting them as radicals.

Outcomes

In this course you will learn about:

1. The real number system.
2. Natural numbers, whole numbers and integers.
3. The highest common factor.
4. The lowest common multiple.

Video 1: Explores triangular and square numbers.
Video 2: Explores some examples of patterns in whole numbers.
Video 3: Explores some common mistakes which can be made when looking for patterns in whole numbers.

This video looks at set notation, Venn diagrams and probability.

In this section, you will:

• Evaluate square roots.
• Use the product rule to simplify square roots.
• Use the quotient rule to simplify square roots.
• Add and subtract square roots.
• Rationalize denominators.
• Use rational roots.

Video 1: Dividing a fraction by a whole number
Video 2: Divide fractions by whole numbers
Video 3: Meaning of the reciprocal
Video 4: Dividing a whole number by a fraction
Video 5: Dividing a whole number by fraction with a reciprocal
Video 6: Divide whole numbers by fractions