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Home › Practice › Multiplying & Dividing Integers

Multiplying & Dividing Integers

20 questions · 60 seconds · integers −12 to 12

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Free · no login · instant feedback on every answer

Make the sign rules automatic: multiplication and division with negative numbers, integers from −12 to 12. Every question is really two questions — the times-table fact, and the sign — and fluency means answering both without pausing.

The rules are mercifully short: same signs give a positive answer, different signs give a negative one. What takes practice is applying them at speed while the arithmetic runs underneath. This drill pairs each computed answer with instant feedback, so a sign slip is corrected the moment it happens instead of surviving into algebra, where it becomes the most common source of lost marks.

Tips That Make It Stick

  • Signs first, numbers second. Decide the sign before touching the arithmetic: (−4) × (−11) — same signs, so positive. Then 4 × 11 = 44. Splitting the two decisions prevents most errors.
  • Same signs positive, different signs negative. One rule covers both operations, because division is multiplication read backwards: if (−3) × 8 = −24, then (−24) ÷ 8 must be −3.
  • Count the minus signs. An even number of negative factors gives a positive result; an odd number gives negative. This scales to longer expressions later in algebra.

Frequently Asked Questions

Why does a negative times a negative make a positive?

Multiplying by −1 means "reverse direction" on the number line. Reversing twice lands you facing the way you started — so (−1) × (−1) = 1, and the same logic carries every double negative back to positive.

What grade learns integer multiplication and division?

The sign rules for all four operations with integers are a 7th grade standard, building on the integer addition and subtraction introduced in 6th grade.

Does this game include adding and subtracting negatives?

This preset drills × and ÷, where the sign rules live. For adding and subtracting integers, use the Negative Numbers practice page — or enable all four operations in game settings.

📝 Matching Printable Worksheets

Prefer paper practice? These free PDF worksheets cover the same skill — each includes an answer key:

  • Multiplying Negative Integers
  • Dividing Negative Integers
  • Mixed Operations with Negative Integers

📚 Step-by-Step Guides

Understanding Negative Numbers Order of Operations
All Practice Skills

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