Question

Complete these sentences to describe the multiplication of signed numbers. The product of two positive integers is always . The product of two negative integers is always . The product of a positive integer and a negative integer is always . The product of any integer and –1 is always .

Answer 1

The product of two positive integers is always  POSITIVE . The product of two negative integers is always POSITIVE. The product of a positive integer and a negative integer is always NEGATIVE . The product of any integer and –1 is always THE OPPOSITE OF THAT INTEGER .

Answer 2

Answer:

The product of two positive integers is always positive.

The product of two negative integers is always positive.

The product of a positive integer and a negative integer is always negative.

The product of any integer and –1 is always opposite of that number.

Step-by-step explanation:

Rule of multiplication of sign:

First               Second                Resultant

(+)          ×           (+)            =              (+)

 (-)          ×            (-)            =              (+)

(+)          ×           (-)             =               (-)

(-)          ×           (+)             =               (-)

From the above table we can say that:

The product of two positive integers is always positive.

The product of two negative integers is always positive.

The product of a positive integer and a negative integer is always negative.

Let x be an unknown integer.

The product of an unknown integer and -1 is

$x\times (-1)=-x$

Therefore, the product of any integer and –1 is always opposite of that number.