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What are the quotient and remainder whena) 19 is divided
Chapter 4, Problem 9E(choose chapter or problem)
What are the quotient and remainder whena) 19 is divided by 7?________________b) -111 is divided by 11?________________c) 789 is divided by 23?________________d) 1001 is divided by 13?________________e) 0 is divided by 19?________________f) 3 is divided by 5?________________g) - 1 is divided by 3?________________h) 4 is divided by 1?
Questions & Answers
QUESTION:
What are the quotient and remainder whena) 19 is divided by 7?________________b) -111 is divided by 11?________________c) 789 is divided by 23?________________d) 1001 is divided by 13?________________e) 0 is divided by 19?________________f) 3 is divided by 5?________________g) - 1 is divided by 3?________________h) 4 is divided by 1?
ANSWER:Solution:Step-1: Division algorithm:If and , then there are unique integers q and r , with , such that Here d is called the divisor. a is called the dividend. q is called the quotient. r is called the remainder.Note that the remainder is non negative , and less than the divisor. Step-2: a)In this problem we need to find the quotient and remainder when 19 is divided by 7. We know that 19 is a prime number. When 19 is divided by 7 means 19 = 7(2) +5 , where 2 is the quotient and 5 is the remainder. Therefore , when 19 is divided by 7 , the quotient is 2 and the remainder is 5 Step-3: b)In this problem we need to find the quotient and remainder when -111 is divided by 11. When -111 is divided by 11 means -111 = 11(-11) +10 ,where -11 is the quotient and 10 is the remainder. Therefore , when -111 is divided by 11 , the quotient is (-11) and the remainder i