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Perform the indicated operation.

-  75  ÷  -  5

Short Answer

Expert verified

The quotient is15

Step by step solution

01

Step-1 – Apply the concept of quotient

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

02

Step-2 – Example for the quotient

For example, if we divide the number 6 by 3, the result so obtained is 2, which is the quotient. It is the answer from the division process. The quotient can be an integer or a decimal number or a fraction.

Example: 18 divide by 3, the result or quotient is 6.

18  ÷  3  =  6

03

Step- 3 – 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.

Examples:

Rule 1: (– 8) ÷ (+4) = – 2

Rule 2: (+6) ÷ (– 3) = – 2

Rule 3: (+9) ÷ (+3) = +3

Rule 4: (– 6) ÷ (– 2) = +3

04

– Evaluate the expression: – 75 ÷ (– 5)

Rule: The quotient of two negative integers is positive.

To determine the quotient it is needed to divide -  75  by  (-  5)

-75÷-5  =  15

The quotient is 15

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