Integers · Grades 6–8

Integer Worksheets

Integer worksheets built for real signed-number reasoning: comparing and ordering signed numbers on a number line, then adding, subtracting, and multiplying where the negatives actually decide the answer.

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What it is

Integers include negative numbers as well as positive ones. A number line helps you picture them.

Why it matters

Integers appear in temperature, elevation, banking, and coordinate geometry, and fluent signed-number work is essential before algebra.

How to do it

  1. Adding a positive moves right; adding a negative moves left.
  2. Subtracting a number is the same as adding its opposite.
  3. Two negative signs in a row become a positive.

Examples by level

  • Beginner-2 + 5 =3
  • Intermediate-2 + (-7) =-9
  • Advanced-13 - (-9) - 4 =-8

Examples are generated by the same engine as the worksheets, so they're always mathematically correct. Built to avoid repeats, not reshuffle the same handful of questions.

Common mistakes

  • Mishandling subtraction of a negative (a − (−b)).
  • Getting the sign wrong when multiplying two negatives.
  • Confusing the operation sign with the sign of the number.
  • Comparing signed numbers like unsigned ones (thinking −8 is greater than −3 because 8 > 3).

Tips

  • Two minuses make a plus: − (−3) = + 3.
  • A bigger negative is a smaller number: −9 < −2.
  • Multiplying two negatives gives a positive; multiplying one negative and one positive gives a negative.

For parents

A number line makes adding and subtracting integers visible, move right for positives, left for negatives. For comparing two integers, the one further right is always greater.

For teachers

Every problem here involves at least one negative on purpose; use the hard band's three-term chains to stretch multi-step reasoning.

Key vocabulary

integer
a whole number, positive or negative
opposite
the same number with the other sign

Frequently asked questions

What are integers?
Integers are whole numbers and their negatives, including zero: ..., −2, −1, 0, 1, 2, ...
How do you compare two integers?
Picture them on a number line: whichever is further to the right is greater, even if it doesn't 'look' bigger — for example, −3 is greater than −8.
Why does subtracting a negative add?
Taking away a debt leaves you better off, subtracting a negative is the same as adding its positive.

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