Multiplying and Dividing Integers Worksheets

Introduce the rule with a quick table: positive times positive, negative times positive, and so on. Then give students the page for about fifteen minutes. Because every problem has a negative, the sign check becomes routine. Use the answer key to mark and ask kids to say the rule aloud for any problem they missed. Division facts here are exact, so no remainders interrupt the thinking. Ask students to say the sign out loud before they work out the size.

Two negatives make a positive, one negative makes a negative, and the same rule works for division. The size comes from the plain multiplication or division fact, so strong times tables make the page easier. Students often add the signs instead of multiplying them, or give a negative answer to two negatives. This follows adding and subtracting integers and prepares for order of operations with signed numbers and for algebra.

Factors up to offers 6, 9 and 12, and the page opens on 9. Use 6 when times tables are shaky, because the sign rule is the new part. Move to 12 once signs are automatic. Problems per page gives 12, 20 or 30. A fun variation: ask students to color positive answers one color and negative answers another, and count each.

What is a quick way to remember the sign rule?

Same signs give a positive, different signs give a negative. It applies to multiplication and division alike. Count the negatives: an even number of them means a positive answer.

Will division ever leave a remainder?

No. Each division problem comes from a multiplication fact, so the quotient is always a whole number, and the only decision left for the student is the sign of the answer.

Why mix multiplication and division on the same page?

Because the sign rule is identical for both. Seeing them together stops students from memorizing a fixed set of answers and pushes them to apply the rule each time.