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What are the quotient and remainder whena) 44 is divided
Chapter 4, Problem 10E(choose chapter or problem)
What are the quotient and remainder whena) 44 is divided by 8?________________b) 777 is divided by 21?________________c) -123 is divided by 19?________________d) -1 is divided by 23?________________e) -2002 is divided by 87?________________f) 0 is divided by 17?________________g) 1,234,567 is divided by 1001?________________h) -100 is divided by 101?
Questions & Answers
QUESTION:
What are the quotient and remainder whena) 44 is divided by 8?________________b) 777 is divided by 21?________________c) -123 is divided by 19?________________d) -1 is divided by 23?________________e) -2002 is divided by 87?________________f) 0 is divided by 17?________________g) 1,234,567 is divided by 1001?________________h) -100 is divided by 101?
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 44 is divided by 8 We know that 44 is not a prime number. When 44 is divided by 8 means 44= 8(5) +4 , where 5 is the quotient and 4 is the remainder. Therefore , when 44 is divided by 8 , the quotient is 5 and the remainder is 4 Step-3: b)In this problem we need to find the quotient and remainder when 777 is divided by 21. We know that 777 is not a prime number. When 777 is divided by 21 means 777 = 21(37)+ 0 ,where 37 is the quotient and 0is the remainder. Therefore , when 777 is divided by 21, the quotient is 37 and the