Multiplication of Integers Multiplication of two integers is a mathematical operation that combines two numbers into a single number. The result of this oper...
Multiplication of two integers is a mathematical operation that combines two numbers into a single number. The result of this operation depends on the signs of the two numbers and their relative positions.
Sign of the product:
If both numbers are positive, the product will be positive.
If both numbers are negative, the product will be negative.
If the numbers are opposite signs, the product will be negative.
Ordering of the numbers:
When multiplying two integers with the same sign, the products of the two numbers are always the same sign.
When multiplying two integers with opposite signs, the products of the two numbers are always negative.
Examples:
5 * 6 = 30 (both numbers are positive and have the same sign)
7 * (-3) = -21 (both numbers are negative and have opposite signs)
4 * 5 = 20 (both numbers are positive and have the same sign)
(-2) * (-3) = 6 (two numbers with opposite signs)
Additional notes:
Multiplication is not commutative, meaning that the order in which the numbers are multiplied does not affect the product.
Multiplication is also not associative, meaning that the product of a number with a constant is equal to the product of the constant with the number.
Multiplication can be applied to any two numbers, regardless of their numerical value or the base of the numbers