Integers · grades 7–9
Integers.
Negative numbers, mastered one step at a time — from what a negative means to adding, subtracting, multiplying, dividing, and full order-of-operations. With zero-pair counters, a signed number line, an animated step solver, and an engine-graded pad.
Meet the integers
Negatives, the number line, and opposites.
Compare & order
Which is greater? Put them in order.
Absolute value
Distance from zero.
Add integers
Zero pairs and the sign of the sum.
Subtract integers
Add the opposite.
Multiply
The sign rules — and why.
Divide
Same sign rules, in reverse.
Order of operations
Signs, powers, brackets, expressions.
- 8.1
PEMDAS with signs
Strongest operation first.
- 8.2
Powers of negatives
(−2)³ vs −2² — the classic trap.
- 8.3
Brackets first
Resolve inside the brackets.
- 8.4
All four operations
Multi-step with negatives.
- 8.5
Substitute a value
Put the integer in, then evaluate.
- 8.6
Two variables
Substitute several values.
- 8.7
Mixed mastery
Everything together.
Capstone
Pick the right move.