Rules of Multiplication/Product of Integers

Multiplicands or multipliers are the integers that are multiplied.

Consider

2×3

Here, 2 and 3 are multiplicands or multipliers.

RULE 1: If both multiplicand have same signs, then their product will be a positive integer.

For example:

a) 3×5 = 15

Both 3 and 5 are positive integers, so their product, 15, is a positive integer.

b) (-3) × (-5) = 15

Both -3 and -5 are negative integers, so their product, 15, is a positive integer.

RULE 2: If multiplicands have opposite signs, then their product will be a negative integer.

For example:

a) 6 × (-8) = -48

Here, 6 is a positive integer and -8 is a negative integer, so their product, -48, is a negative integer.

b) (-6) × 8 = -48

Here, -6 is a negative integer and 8 is a positive integer, so their product, -48, is a negative integer.

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