How to Learn the Negative Number Rules
Negative numbers follow simple sign rules — but getting them wrong is one of the most common math mistakes. The key ideas: subtracting a negative adds, and two negatives multiply to a positive. This deck drills the rules until they are automatic.
There are 12 cards in the deck below. You can read through them, practise them right here with the flip-card player, and then save the deck to study properly with spaced repetition — the method that makes them stick for months, not minutes.
Why the negative number rules is hard to memorize (and the fix)
The confusion is the signs: "minus a minus" and "negative times negative" both feel backwards until the rules are memorized. Clear examples for each fix them.
The fix is active recall plus spaced repetition. Instead of re-reading the list (which feels productive but barely works), you test yourself — pull each answer out of memory — and you review each card on a schedule that stretches over time. Every time you successfully recall a fact, the memory gets stronger and the next review is pushed further out. That's how you go from "I saw it once" to "I just know it."
The fastest way to learn the negative number rules
- Break it into small batches. Learn the multiply/divide rule first (same signs = positive), then the add/subtract rules (subtracting a negative adds).
- Test, don't re-read. Look at the question, say the answer out loud before flipping the card. The little struggle to recall is what builds the memory — a smooth re-read does almost nothing.
- Review on a schedule. Spaced repetition shows you each card right before you'd forget it. Get one right and it comes back in a few days, then a week, then a month. Miss one and it comes back sooner.
- Keep sessions short and daily. Five to ten minutes a day beats a two-hour cram every time. Consistency is the whole game.
One fact per card. On a number line, subtracting means moving left, adding means moving right — subtracting a negative reverses that into moving right (adding).
The full deck: the Negative Number Rules
Here's every card in the set. Practise them above, or save the deck and let spaced repetition schedule your reviews automatically.
| Question | Answer |
|---|---|
| What is negative × negative? | Positive (−3 × −2 = 6) |
| What is negative × positive? | Negative (−3 × 2 = −6) |
| What is negative ÷ negative? | Positive |
| What is subtracting a negative the same as? | Adding (5 − (−3) = 5 + 3 = 8) |
| What is −5 + 3? | −2 |
| What is −5 − 3? | −8 |
| What is −4 × −5? | 20 |
| What is 6 ÷ −2? | −3 |
| What is −7 + (−2)? | −9 |
| What is 3 − (−4)? | 7 |
| For multiplication, when is the answer positive? | When both numbers have the same sign |
| What is −2 × −3 × −1? | −6 (three negatives give a negative) |
Save this deck and actually remember it
Create a free account, keep this 12-card deck, and we'll schedule every review at the perfect moment. First deck free forever — no credit card.
Study this deck free →FAQ: learning the negative number rules
How long does it take to learn the negative number rules?
Most people can lock in the negative number rules within one to three weeks of short daily sessions. With spaced repetition doing 10–12 cards a day, you'll recognise them within days and recall them reliably within a couple of weeks.
What's the best way to memorize the negative number rules?
Active recall plus spaced repetition. Test yourself instead of re-reading, and review on a schedule that spaces the cards out over time. Flashcards are built for exactly this — which is why the deck above is the fastest path.
Is this deck free?
Yes. You can practise all 12 cards on this page for free with no account. Sign up (also free) to save the deck and let spaced repetition schedule your reviews so it sticks long-term.