Basic 7 · Mathematics
Number Operations
Notes on Number Operations for Basic 7 Mathematics. Open a topic to start.
- Mental Mathematics Strategies and Number PropertiesIn this topic you will apply mental strategies such as compensation, doubling and halving and breaking numbers apart, use the properties of numbers to calculate quickly, and solve word problems mentally.
- Adding, Subtracting, Multiplying and Dividing Multi-Digit NumbersIn this topic you will add and subtract numbers of up to four digits and beyond with regrouping, check answers by estimation and inverse operations, and multiply and divide multi-digit numbers by one- and two-digit numbers.
- Story Problems with Decimals and the Meaning of PowersIn this topic you will create and solve story problems involving the four operations on decimals, and explore the meaning of repeated factors and powers using objects.
- Expressing Numbers as Products of Powers and the Zero IndexIn this topic you will express numbers as products of factors and of powers, write numbers as products of prime factors in index form, and show that any non-zero number raised to the power zero equals one.
- Evaluating Powers and Finding the HCFIn this topic you will find the value of numbers written in index form, evaluate expressions involving powers, and use prime factorisation to find the highest common factor of numbers.