Question

Determine the integer whose product with (-1) is
1. 58
2. 0
3. -225

Answer 1

Hint: We have to find the integer so, first we will use the definition of an integer and use the fact that a negative number multiplied with a positive number gives the product as a negative number. Assume the integer as a variable and form an equation of multiplication in the LHS and write the value 58 in the RHS of the equation.

Complete step-by-step solution:
Integers are the numbers which can be positive, negative or zero, but cannot be a fraction. These numbers are used to perform various arithmetic operations, like addition, subtraction, multiplication and division. The examples of integers are, 1, 2, 5,8, -9, -12, etc. The symbol of integers is ‘Z’.
Now, we will find the values of integers.
Let us assume the integer as $$x$$
1. 58
We will form an equation in which the product of integers and (-1) is in the LHS and -22 is in the RHS of the equation.
$x\times \left(-1\right)=58$
$x={\displaystyle \frac{58}{-1}}$
$x=-58$
The value of the integer is -58.
2. 0
We will form an equation in which the product of integers and (-1) is in LHS and 0 is in the RHS of the equation.
$x\times \left(-1\right)=0$
$x={\displaystyle \frac{0}{-1}}$
$x=0$
The value of the integer is 0.
3. -225
We will form an equation in which the product of integers and (-1) is in LHS and 0 is in the RHS of the equation.
$x\times \left(-1\right)=-225$
$x={\displaystyle \frac{-225}{-1}}$
$x=225$
The value of the integer is 225.

Note: LHS is the left hand side of the equation and RHS is the right hand side of the equation.
Many students make the mistake of writing the answer as a rational number, like of the form ${\displaystyle \frac{p}{q}}$
 which is wrong, keep in mind integers do not contain rational numbers, they contain only negative numbers, 0 and positive numbers.