Question

Find the product or quotient.

– 51 ÷ ( – 3)

Short answer

The quotient is 17

Step-by-step solution

Step-1 – The concept of quotient

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

Step-2 – Rules and examples 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.

Examples:

Rule 1: (– 8) ÷ (+ 4) = – 2

Rule 2: (+ 6) ÷ (– 3) = – 2

Rule 3: (+ 9) ÷ (+ 3) = +3

Rule 4: (– 6) ÷ (– 2) = +3

Step-3 – Evaluate:  175 ÷ (– 25)  

RULE: The quotient of two negative integers is positive.

The dividend 51 isnegativeinteger and the divisor 3 is also negative integer, the quotient will be positive.

– 51 ÷ (– 3) = 17