Directed number and the order of operations
Pages
Adding and subtracting negative numbers
Number-line reasoning, two signs meeting, and temperature differences.
Multiplying and dividing negative numbers
The sign of a product or quotient, and what several negatives together do.
Order of operations
Brackets, powers and roots first, with the fraction bar as grouping.
Powers of a negative number
Why −3² and (−3)² differ, and how an odd or even index fixes the sign.
Checking an answer with the inverse operation
Undoing a calculation with its inverse to test an answer without repeating it.
Reordering a calculation
Using commutativity and associativity to pair the easiest numbers first.
Practice
Adding and subtracting negative numbers
Number-line reasoning, two signs meeting, and temperature differences.
PracticeMultiplying and dividing negative numbers
The sign of a product or quotient, and what several negatives together do.
PracticeOrder of operations
Brackets, powers and roots first, with the fraction bar as grouping.
PracticeChecking an answer with the inverse operation
Undoing a calculation with its inverse to test an answer without repeating it.
PracticeNegatives review
Directed-number arithmetic with decimals and powers of negatives.
PracticeOrder of operations review
Multi-step BIDMAS with indices.