R. D. Sharma Solutions for Chapter: Integers, Exercise 1: EXERCISE

Verify the following:
$19\times \{7+(-3\left)\right\}=19\times 7+19\times (-3)$
 

Verify the following:
$(-23)\left\{\right(-5)+(+19\left)\right\}=(-23)\times (-5)+(-23)\times (+19)$

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

The product of three negative integers is a negative integer.

Of the two integers, if one is negative, then their product must be positive.

 For all non-zero integers $a$ and $b,a\times b$ is always greater than either $a$ or $b$.

 The product of a negative and a positive integer may be zero.
 

There does not exist an integer $b$ such that for $a>1,a\times b=b\times a=b$