claritute
NSW MATHS · INTEGERS

Negative numbers and integers, made clear — Years 7 to 8

Negative numbers are the first place high-school maths feels genuinely strange. A good number line and a few clear rules turn the confusion into confidence.

Start your 7-day free trial →Years 7–8 · NSW syllabus-aligned.
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Understanding integers & negative numbers

Adding a negative, subtracting a negative, two negatives multiplying to a positive — the rules feel arbitrary until you see them on a number line and in context, like temperature or money owed. Claritute grounds every rule in a picture so it makes sense, not just memorised.

Lessons build from the number line through adding and subtracting, then multiplying and dividing integers, with worked examples and practice. Aligned to the NSW Stage 4 computation-with-integers outcomes — a foundation algebra depends on.

What you’ll learn

13 Claritute lessons cover integers & negative numbers across Years 7–8 — each one visual and step-by-step.

The number line and ordering integers

Adding and subtracting integers

Multiplying and dividing integers

The "two negatives" rules

Integers in real contexts

Why families choose Claritute

🔍 Free Gap Finder

Find the missing block — fast

A short diagnostic pinpoints exactly which earlier skill is causing the trouble, then builds the plan around it. Foundations first; confidence follows.

✏️ Worked examples that teach

Then it’s their turn — every time

Every concept is drawn, not described — 800+ original diagrams — and each worked example hands the pen back with a matching question and a self-check.

🍎 A registered NSW teacher

Built and taught by Angelo Hanna

Every lesson is written, checked and taught by a registered NSW teacher and mapped to the NSW K–10 syllabus — so home lines up with school. Not scraped, not outsourced.

Where to go next

Frequently asked questions

Why do two negatives make a positive?

It is not a trick — it follows from patterns you can see on a number line and in real contexts. Claritute shows why, so students can reconstruct the rule instead of just hoping they remember it.

When are negative numbers taught in NSW?

Formally in Stage 4 (Years 7–8), under computation with integers. Getting them solid here matters because algebra leans on them constantly.

My child gets the rules mixed up. Can this help?

Yes — the number-line approach is exactly what untangles the mix-ups, because it replaces four separate rules with one consistent picture.

Make integers & negative numbers click for your child.

Start the free trial →7 days free · cancel anytime · built by a registered NSW teacher