When multiplying, a positive first number tells how many groups to make of the second number. To multiply 3 × (-2), make 3 groups of 2 negative counters. There are 6 negative counters in total, so 3 × (-2) equals -6. A negative first number tells how many groups to remove of the second number. To multiply -3 × 2, remove 3 groups of 2 positive counters. Since there are no positive counters to remove, add zero pairs. After removing 3 groups of 2 positive counters there are 6 negative counters remaining, so -3 × 2 equals -6.
Multiplying Integers using the Brainingcamp Two-Color Counters virtual manipulative.
Brainingcamp virtual manipulatives can be used anywhere with no setup, cleanup, or lost parts. They are highly effective at engaging today’s digital learners and helping them bringing abstract math concepts to life.
Brainingcamp produces virtual manipulatives for iPads, Chromebooks, PCs, and Macs.