Integer Worksheets

Free integer worksheets for 6th and 7th grade. Practice adding and subtracting integers, multiplying and dividing integers, or mixed problems with three numbers. Negative numbers are shown in parentheses the way textbooks write them, and every sheet has an answer key. Start with adding and subtracting integers, then try the integer word problems about temperature, sea level and money.

Quick answer: This page has free integer worksheets with answers for 6th and 7th grade: adding, subtracting, multiplying and dividing integers, absolute value and word problems. Updated October 2026.

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Ready-to-print integer worksheets (PDF)

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Integer rules at a glance

A number line is the best picture for adding and subtracting integers: adding a positive moves right, adding a negative moves left.

How to add integers

Adding integers comes down to one question: do the two numbers have the same sign or different signs?

• Same signs: add the sizes and keep the sign. 7 + 5 = 12, and −7 + (−5) = −12. Two debts of 7 and 5 dollars make a debt of 12.
• Different signs: subtract the smaller size from the bigger one and keep the sign of the bigger one. For −9 + 4, nine is bigger than four, so the answer is −5. For 9 + (−4), the answer is 5.

Two-color counters make the different-signs rule easy to see. Lay out 9 red counters for −9 and 4 yellow counters for +4. Each red and yellow pair is a zero pair because −1 + 1 = 0. Remove four zero pairs and five red counters are left: −5.

How to subtract integers: keep, change, change

Subtracting a number is the same as adding its opposite. Many classrooms remember it as keep, change, change: keep the first number, change the minus to a plus, and change the sign of the second number. Then follow the adding rules.

• 5 − (−2) becomes 5 + 2 = 7.
• −3 − 6 becomes −3 + (−6) = −9.
• −8 − (−10) becomes −8 + 10 = 2.

Why does it work? On a number line, subtraction asks how far apart two numbers are and in which direction. Taking away a debt of 2 dollars leaves you 2 dollars better off, which is why subtracting a negative moves you to the right.

Multiplying and dividing integers

For multiplication and division, ignore the signs, work out the answer, then decide the sign:

• Same signs give a positive answer: −6 × (−3) = 18 and −24 ÷ (−4) = 6.
• Different signs give a negative answer: −6 × 3 = −18 and 24 ÷ (−4) = −6.
• With more than two numbers, count the negative signs. An even number of negatives makes a positive product; an odd number makes a negative one. So −2 × (−3) × (−1) = −6.

The pattern 3 × (−2) = −6, 2 × (−2) = −4, 1 × (−2) = −2, 0 × (−2) = 0 grows by 2 each step. Keep going and −1 × (−2) has to be 2. That is the reason a negative times a negative is positive.

Comparing and ordering integers

On a number line, the number further to the right is always greater. That makes 3 greater than −8, and −2 greater than −9, even though 9 looks like the bigger digit. A quick check: the negative number closer to zero is the greater one, because it is “less in debt”.

To order a list such as 4, −7, 0, −2 and 9 from least to greatest, place the negatives first, starting with the one furthest from zero: −7, −2, 0, 4, 9. The comparing worksheet uses the symbols <, > and =, and the ordering worksheet mixes least-to-greatest and greatest-to-least lists.

Absolute value

The absolute value of a number is its distance from zero, written between two straight bars. Distance is never negative, so |−8| = 8 and |8| = 8. Watch the sign outside the bars: −|−8| means “the opposite of 8”, which is −8. Work inside the bars first: |−9 + 4| = |−5| = 5. Absolute value shows up whenever only the size of a change matters, such as how far a diver is from the surface or how many degrees a temperature dropped.

Integers in real life

Negative numbers are not just a classroom idea. Children already meet them in:

• Temperature: −5°C is five degrees below freezing, and a rise of 12 degrees takes it to 7°C.
• Sea level: a diver at −30 m who swims up 12 m reaches −18 m.
• Money: an overdrawn account of −$20 plus a $45 deposit leaves $25.
• Buildings: a lift going from floor −2 to floor 7 travels 9 floors.
• Sports: golf scores below par are negative, and a football team that loses yards has a negative gain.

The integer word problems worksheet uses all of these, with an answer key.

Integer worksheets by level

• Adding and subtracting integers from −20 to 20.
• Multiplying and dividing with factors up to 12.
• Mixed problems with three numbers, following the order of operations.
• Comparing integers with <, > and =.
• Absolute value, including sums and expressions inside the bars.
• Ordering integers from least to greatest or greatest to least.
• Word problems about temperature, sea level, money, lifts and sport.

Common mistakes to watch for

• Thinking −9 is greater than −2 because 9 is bigger than 2.
• Changing only one sign in keep, change, change: 5 − (−2) is 7, not 3.
• Using the multiplication sign rule for addition: −4 + (−3) is −7, not 7.
• Dropping the minus sign in the final answer. Writing negatives in parentheses, as our worksheets do, helps.
• Treating −|−6| as 6 instead of −6.

Which grade learns integers?

In the Common Core math standards, 6th graders meet negative numbers: they place integers on a number line, compare and order them, find absolute value and use them in real situations (6.NS.C.5 to 6.NS.C.7). In 7th grade they add, subtract, multiply and divide integers and rational numbers (7.NS.A.1 to 7.NS.A.3). Our integer worksheets follow the same path, so a 6th grader can start at levels 4 to 6 and a 7th grader at levels 1 to 3 and 7. For the bigger picture, see the definition of an integer.

Integers worksheet and answers: eight examples

Here is a short integers worksheet with answers, with a mix of the four operations and absolute value. Cover the answer column, solve each problem, then check:

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More middle school math

• Order of operations worksheets with negative numbers and exponents.
• One-step equations and two-step equations with integer answers.
• Printable number lines, including negative numbers for adding and subtracting.
• Coordinate plane grids, where all four quadrants use negative coordinates.
• Percent worksheets for discounts, tips and percent change.
• Math worksheet generator for every other topic.