160 cards

Integer Flash Cards With Negative Numbers to Flip and Print

Work out the answer and its sign, turn the card to check the rule, then print the set.

−12 + 11

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Type the answer with its sign, such as -4

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How to practise

Next step Walk these sums on a number line with negatives Play the same facts as integer bingo

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Adding integers 40

−1 + (−9) Same signs: add 1 and 9, keep the negative sign. The sum is −10.
−1 + 8 Different signs: 8 − 1 = 7. The larger part is positive, so 7.
−1 + 10 Different signs: 10 − 1 = 9. The larger part is positive, so 9.
−2 + (−3) Same signs: add 2 and 3, keep the negative sign. The sum is −5.
−2 + 3 Different signs: 3 − 2 = 1. The larger part is positive, so 1.
−3 + (−1) Same signs: add 3 and 1, keep the negative sign. The sum is −4.
−3 + (−12) Same signs: add 3 and 12, keep the negative sign. The sum is −15.
4 + (−1) Different signs: 4 − 1 = 3. The larger part is positive, so 3.
−4 + (−6) Same signs: add 4 and 6, keep the negative sign. The sum is −10.
4 + (−12) Different signs: 12 − 4 = 8. The larger part is negative, so −8.
−4 + 11 Different signs: 11 − 4 = 7. The larger part is positive, so 7.
5 + (−6) Different signs: 6 − 5 = 1. The larger part is negative, so −1.
−5 + (−12) Same signs: add 5 and 12, keep the negative sign. The sum is −17.

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Adding integers, continued

−5 + 5 −5 and 5 are opposites, so they add to 0.
−5 + 11 Different signs: 11 − 5 = 6. The larger part is positive, so 6.
6 + (−2) Different signs: 6 − 2 = 4. The larger part is positive, so 4.
−6 + (−3) Same signs: add 6 and 3, keep the negative sign. The sum is −9.
−6 + (−12) Same signs: add 6 and 12, keep the negative sign. The sum is −18.
7 + (−1) Different signs: 7 − 1 = 6. The larger part is positive, so 6.
−7 + (−1) Same signs: add 7 and 1, keep the negative sign. The sum is −8.
7 + (−11) Different signs: 11 − 7 = 4. The larger part is negative, so −4.
−7 + 1 Different signs: 7 − 1 = 6. The larger part is negative, so −6.
8 + (−8) 8 and −8 are opposites, so they add to 0.
8 + (−9) Different signs: 9 − 8 = 1. The larger part is negative, so −1.
−8 + (−11) Same signs: add 8 and 11, keep the negative sign. The sum is −19.
−8 + 7 Different signs: 8 − 7 = 1. The larger part is negative, so −1.
−8 + 10 Different signs: 10 − 8 = 2. The larger part is positive, so 2.
9 + (−2) Different signs: 9 − 2 = 7. The larger part is positive, so 7.
9 + (−5) Different signs: 9 − 5 = 4. The larger part is positive, so 4.
−9 + (−5) Same signs: add 9 and 5, keep the negative sign. The sum is −14.
9 + (−7) Different signs: 9 − 7 = 2. The larger part is positive, so 2.
−9 + 12 Different signs: 12 − 9 = 3. The larger part is positive, so 3.
10 + (−9) Different signs: 10 − 9 = 1. The larger part is positive, so 1.
−10 + 9 Different signs: 10 − 9 = 1. The larger part is negative, so −1.
−11 + (−5) Same signs: add 11 and 5, keep the negative sign. The sum is −16.
−11 + (−10) Same signs: add 11 and 10, keep the negative sign. The sum is −21.
−11 + 12 Different signs: 12 − 11 = 1. The larger part is positive, so 1.
12 + (−3) Different signs: 12 − 3 = 9. The larger part is positive, so 9.
−12 + 5 Different signs: 12 − 5 = 7. The larger part is negative, so −7.
−12 + 11 Different signs: 12 − 11 = 1. The larger part is negative, so −1.

Subtracting integers 40

1 − (−2) Add the opposite: 1 + 2 = 3.
1 − (−9) Add the opposite: 1 + 9 = 10.
−1 − 7 Add the opposite: −1 + (−7) = −8.
2 − (−9) Add the opposite: 2 + 9 = 11.
−2 − 2 Add the opposite: −2 + (−2) = −4.
−2 − 5 Add the opposite: −2 + (−5) = −7.
2 − 6 Add the opposite: 2 + (−6) = −4.
2 − 10 Add the opposite: 2 + (−10) = −8.
−3 − (−2) Add the opposite: −3 + 2 = −1.
3 − (−6) Add the opposite: 3 + 6 = 9.
3 − 5 Add the opposite: 3 + (−5) = −2.
3 − 11 Add the opposite: 3 + (−11) = −8.
4 − (−1) Add the opposite: 4 + 1 = 5.
4 − (−9) Add the opposite: 4 + 9 = 13.
−4 − 7 Add the opposite: −4 + (−7) = −11.
4 − 9 Add the opposite: 4 + (−9) = −5.
6 − (−3) Add the opposite: 6 + 3 = 9.
−6 − (−4) Add the opposite: −6 + 4 = −2.
6 − (−10) Add the opposite: 6 + 10 = 16.
6 − 7 Add the opposite: 6 + (−7) = −1.
6 − 10 Add the opposite: 6 + (−10) = −4.
−6 − 10 Add the opposite: −6 + (−10) = −16.
6 − 12 Add the opposite: 6 + (−12) = −6.
−7 − (−7) Add the opposite: −7 + 7 = 0.
−7 − 8 Add the opposite: −7 + (−8) = −15.
8 − (−1) Add the opposite: 8 + 1 = 9.
−8 − (−12) Add the opposite: −8 + 12 = 4.
8 − 11 Add the opposite: 8 + (−11) = −3.
−9 − (−12) Add the opposite: −9 + 12 = 3.
−9 − 11 Add the opposite: −9 + (−11) = −20.
−10 − (−4) Add the opposite: −10 + 4 = −6.
−10 − (−9) Add the opposite: −10 + 9 = −1.
−10 − (−10) Add the opposite: −10 + 10 = 0.
−10 − (−11) Add the opposite: −10 + 11 = 1.
−10 − (−12) Add the opposite: −10 + 12 = 2.
−10 − 2 Add the opposite: −10 + (−2) = −12.
−10 − 9 Add the opposite: −10 + (−9) = −19.
10 − 12 Add the opposite: 10 + (−12) = −2.
−11 − 3 Add the opposite: −11 + (−3) = −14.
12 − (−2) Add the opposite: 12 + 2 = 14.

Multiplying integers 30

3 × (−6) Different signs give a negative: 3 × 6 = 18, so −18.
−3 × (−11) Same signs give a positive: 3 × 11 = 33.
3 × (−12) Different signs give a negative: 3 × 12 = 36, so −36.
−3 × 4 Different signs give a negative: 3 × 4 = 12, so −12.
4 × (−8) Different signs give a negative: 4 × 8 = 32, so −32.
4 × (−9) Different signs give a negative: 4 × 9 = 36, so −36.
−4 × 5 Different signs give a negative: 4 × 5 = 20, so −20.
5 × (−6) Different signs give a negative: 5 × 6 = 30, so −30.
−5 × (−10) Same signs give a positive: 5 × 10 = 50.
7 × (−2) Different signs give a negative: 7 × 2 = 14, so −14.
−7 × (−3) Same signs give a positive: 7 × 3 = 21.
7 × (−5) Different signs give a negative: 7 × 5 = 35, so −35.
−7 × (−7) Same signs give a positive: 7 × 7 = 49.
7 × (−8) Different signs give a negative: 7 × 8 = 56, so −56.
−7 × 11 Different signs give a negative: 7 × 11 = 77, so −77.
−8 × (−2) Same signs give a positive: 8 × 2 = 16.
8 × (−8) Different signs give a negative: 8 × 8 = 64, so −64.
−8 × (−10) Same signs give a positive: 8 × 10 = 80.
−9 × 11 Different signs give a negative: 9 × 11 = 99, so −99.
10 × (−5) Different signs give a negative: 10 × 5 = 50, so −50.
−10 × (−11) Same signs give a positive: 10 × 11 = 110.
−10 × 4 Different signs give a negative: 10 × 4 = 40, so −40.
−10 × 7 Different signs give a negative: 10 × 7 = 70, so −70.
−10 × 8 Different signs give a negative: 10 × 8 = 80, so −80.
−11 × (−3) Same signs give a positive: 11 × 3 = 33.
−11 × (−9) Same signs give a positive: 11 × 9 = 99.
−11 × 4 Different signs give a negative: 11 × 4 = 44, so −44.
−11 × 6 Different signs give a negative: 11 × 6 = 66, so −66.
−12 × (−12) Same signs give a positive: 12 × 12 = 144.
−12 × 12 Different signs give a negative: 12 × 12 = 144, so −144.

Dividing integers 30

−12 ÷ (−6) Same signs give a positive: 12 ÷ 6 = 2.
−14 ÷ 2 Different signs give a negative: 14 ÷ 2 = 7, so −7.
−15 ÷ (−3) Same signs give a positive: 15 ÷ 3 = 5.
21 ÷ (−7) Different signs give a negative: 21 ÷ 7 = 3, so −3.
−21 ÷ 3 Different signs give a negative: 21 ÷ 3 = 7, so −7.
22 ÷ (−2) Different signs give a negative: 22 ÷ 2 = 11, so −11.
22 ÷ (−11) Different signs give a negative: 22 ÷ 11 = 2, so −2.
−24 ÷ (−6) Same signs give a positive: 24 ÷ 6 = 4.
25 ÷ (−5) Different signs give a negative: 25 ÷ 5 = 5, so −5.
30 ÷ (−5) Different signs give a negative: 30 ÷ 5 = 6, so −6.
−30 ÷ 5 Different signs give a negative: 30 ÷ 5 = 6, so −6.
−32 ÷ 4 Different signs give a negative: 32 ÷ 4 = 8, so −8.
−36 ÷ (−12) Same signs give a positive: 36 ÷ 12 = 3.
44 ÷ (−4) Different signs give a negative: 44 ÷ 4 = 11, so −11.
−44 ÷ (−4) Same signs give a positive: 44 ÷ 4 = 11.
45 ÷ (−5) Different signs give a negative: 45 ÷ 5 = 9, so −9.
45 ÷ (−9) Different signs give a negative: 45 ÷ 9 = 5, so −5.
−48 ÷ 8 Different signs give a negative: 48 ÷ 8 = 6, so −6.
−50 ÷ 10 Different signs give a negative: 50 ÷ 10 = 5, so −5.
−60 ÷ (−6) Same signs give a positive: 60 ÷ 6 = 10.
−70 ÷ (−7) Same signs give a positive: 70 ÷ 7 = 10.
−72 ÷ 12 Different signs give a negative: 72 ÷ 12 = 6, so −6.
−77 ÷ (−7) Same signs give a positive: 77 ÷ 7 = 11.
81 ÷ (−9) Different signs give a negative: 81 ÷ 9 = 9, so −9.
−88 ÷ 11 Different signs give a negative: 88 ÷ 11 = 8, so −8.
−108 ÷ 12 Different signs give a negative: 108 ÷ 12 = 9, so −9.
−110 ÷ (−10) Same signs give a positive: 110 ÷ 10 = 11.
−110 ÷ 10 Different signs give a negative: 110 ÷ 10 = 11, so −11.
121 ÷ (−11) Different signs give a negative: 121 ÷ 11 = 11, so −11.
−144 ÷ (−12) Same signs give a positive: 144 ÷ 12 = 12.

Sign rules in words 20

A number plus its opposite 0: opposites cancel, as in 7 + (−7) = 0.
The absolute value of 0 0: zero is no distance from 0.
The absolute value of 9 9: a positive number is already its own distance from 0.
The absolute value of −12 12: absolute value is the distance from 0, and a distance is never negative.
Any negative number × 0 0: anything times zero is zero, so −9 × 0 = 0.
Negative + negative: positive or negative? negative: two debts make a bigger debt, as in −3 + (−4) = −7.
Negative × negative: positive or negative? positive: two negatives multiply to a positive, as in −3 × (−4) = 12.
Negative × positive: positive or negative? negative: different signs multiply to a negative, as in −3 × 4 = −12.
Negative ÷ negative: positive or negative? positive: same signs divide to a positive, as in −12 ÷ (−4) = 3.
Negative ÷ positive: positive or negative? negative: different signs divide to a negative, as in −12 ÷ 4 = −3.
The opposite of 0 0: zero is its own opposite, because it is no distance from itself.
The opposite of 5 −5: an opposite sits the same distance from 0 on the other side.
The opposite of −8 8: an opposite sits the same distance from 0 on the other side.
Positive × negative: positive or negative? negative: the order does not matter, so 3 × (−4) = −12.
Positive ÷ negative: positive or negative? negative: different signs divide to a negative, as in 12 ÷ (−4) = −3.
Subtracting −6 is the same as adding… 6: taking away a negative adds its opposite, so 4 − (−6) = 4 + 6.
Which is farther from 0: −9 or 6? −9: it is 9 steps from 0, and 6 is only 6 steps away.
Which is greater: 0 or −4? 0: zero is greater than every negative number.
Which is greater: −3 or −7? −3: it sits to the right of −7 on the number line.
Which is less: −10 or 2? −10: every negative number is less than every positive number.

How this list was compiled: Own work: 160 cards, checked 2026-09-30. Every sum, difference, product and quotient is computed with whole-number arithmetic and checked again against the line under the answer: each subtraction is checked as adding the opposite, each quotient by multiplying back, and each of the 20 sign-rule cards against the results of the other four sets. No fact is taken from another site. Fronts use the printed minus sign; answers use the keyboard minus, so a typed -4 is marked right and 4 is not. Licence: own work

How it works

These integer flash cards put a fact with a negative number on the front, such as −6 + (−3). The back gives −9 and the rule that gets there. The page opens on adding.

Read the full guide

Five sets: four operations and the sign rules

Show only deals one set. Adding and Subtracting hold 40 cards each, with numbers from −12 to 12. Multiplying and Dividing hold 30 each, inside the 12 times table. Sign rules in words has 20 cards on opposites, absolute value, which number is greater and the sign a product or quotient takes.

Print one set

Pick a set, turn a card, then press the print button under the card: 12 cards fill a sheet of Letter or A4, so Adding takes four sheets, Multiplying three and the rules two. Print double-sided and flip on the long edge; the backs are mirrored, so −9 lands behind −6 + (−3).

In quiz mode type the sign with the hyphen key: -4 is marked right and 4 is not.
Every subtraction back rewrites the fact as adding the opposite: 3 − 5 becomes 3 + (−5).
Stuck on a sum? Walk it on a number line with negatives: right for a positive, left for a negative.

Questions and answers

What are the rules for adding integers?

Same signs: add the two numbers without their signs and keep the sign. Different signs: subtract the smaller from the larger and keep the sign of the larger. Opposites, such as −5 and 5, add to 0.

How do you subtract a negative number?

Add its opposite. 4 − (−6) becomes 4 + 6, which is 10. Subtracting a positive works the same way: 3 − 5 becomes 3 + (−5), which is −2.

Why is a negative times a negative a positive?

Follow the pattern: −3 × 2 = −6, −3 × 1 = −3, −3 × 0 = 0. Each step adds 3, so the next one, −3 × (−1), is 3. Division takes the same sign rule.

Is zero positive or negative?

Neither. Zero is an integer that sits between the negative and the positive numbers, and it is its own opposite.