Question

Simplify

20 (– 45) ÷ (– 9)

Short answer

The value of the productis100

Step-by-step solution

Step-1 – Apply the concept of product and quotient 

In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.The numbers that are being multiplied are called the factors and the product of two numbers is the result you get when you multiply them together.

In mathematics, the quotient is the number obtained by dividing one number by another number.

Step-2 – Rules of multiplication and division of integers

Multiplication of Integers

RULE 1: The product of a positive integer and a negative integer is negative.

RULE 2: The product of two positive integers is positive.

RULE 3: The product of two negative integers is positive.

Rules of division of integers:

Rules and example of Division of integers

RULE 1: The quotient of a positive integer and a negative integer is negative.

RULE 2: The quotient of two positive integers is positive.

RULE 3: The quotient of two negative integers is positive.

Step-3 – Find the product:   20 (– 45) ÷ (– 9)

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

$20 (- 45) ÷ (-9) = - 900 ÷ (- 9)$

Rule:The quotient of a negative integer and a negative integer is positive.

$- 900 ÷ (- 9) = 100$

Thus, $20 (- 45) ÷ (-9) = 100$