Free Integer Worksheets With Answers
These free integer worksheets cover the four operations with positive and negative numbers, along with absolute value and the number line, and each answer is fully worked. Signed numbers are the gateway to algebra, and a student who is shaky here will struggle with every equation that follows. The same skills can be generated as a printable integers test with a matching answer key.
Grades 6–7 · 9 free questions with worked answers · No sign-up to practise
Skills covered in these integer worksheets
- Ordering and comparing integers on a number line
- Absolute value
- Adding and subtracting positive and negative integers
- Multiplying and dividing signed numbers
- Integer operations combined with order of operations
- Integers in temperature, elevation and money contexts
Free integer practice questions with answers
Every question below includes the final answer and the steps behind it, so the sheet doubles as its own answer key. Filter by grade or difficulty to build the set you need.
- Question 1easyGrade 6
Which is greater, −5 or −8?
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Answer: −5
On a number line −5 sits to the right of −8, and numbers further right are larger. So −5 > −8.
- Question 2easyGrade 6
What is |−7|?
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Answer: 7
Absolute value is the distance from zero, which is always positive. The distance from −7 to zero is 7.
- Question 3easyGrade 6
−4 + 9 = ?
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Answer: 5
Start at −4 and move 9 to the right. Crossing zero after 4 steps leaves 5 more, so the answer is 5.
- Question 4mediumGrade 6
5 − (−3) = ?
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Answer: 8
Subtracting a negative is the same as adding a positive, so 5 − (−3) = 5 + 3 = 8.
- Question 5mediumGrade 6
−4 + (−6) = ?
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Answer: −10
Adding two negatives moves further from zero in the negative direction, giving −10. The 'two negatives make a positive' rule applies to multiplication, not addition.
- Question 6mediumGrade 7
−6 × 7 = ?
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Answer: −42
Multiplying numbers with different signs gives a negative result, and 6 × 7 = 42, so the answer is −42.
- Question 7hardGrade 7
−48 ÷ (−6) = ?
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Answer: 8
Dividing two negatives gives a positive result, and 48 ÷ 6 = 8, so the answer is 8.
- Question 8hardGrade 7
−3 × (−2) + (−5) = ?
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Answer: 1
Multiplication first: −3 × −2 = 6. Then add the negative: 6 + (−5) = 1.
- Question 9hardGrade 7
The temperature falls from 4°C to −9°C. By how many degrees did it drop?
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Answer: 13 degrees
The change is 4 − (−9) = 4 + 9 = 13, so the temperature dropped 13 degrees.
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Subtracting a negative is adding
The single most useful reframing in this topic is that subtracting a negative number is the same as adding its positive counterpart. Written out, 5 − (−3) becomes 5 + 3 = 8. On a number line, subtracting means moving left, but the negative sign reverses that direction, so the movement is to the right. Students who learn the rule without the number line picture tend to apply it inconsistently once questions get longer.
Sign rules for multiplication are not the same as for addition
In multiplication and division, two negatives give a positive and mixed signs give a negative. In addition, two negatives give a more negative result. Because the phrase 'two negatives make a positive' gets repeated loosely, students frequently apply it to addition and conclude that −4 + −6 = 10. Keeping the two rule sets visibly separate is worth more than any amount of extra drill.
Common mistakes to watch for
- Applying the multiplication sign rule to addition, so −4 + −6 is answered as 10.
- Losing a negative sign when copying an expression to the next line of working.
- Reading −5 as smaller than −8 because 5 is smaller than 8.
- Treating the absolute value bars as ordinary brackets and evaluating the sign inside as negative.