Q:

What are the quotient and remainder when a) 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?

Accepted Solution

A:
Answer:a) quotient = 2,  remainder = 5b) quotient = -10,  remainder = -1c) quotient = 34,  remainder = 7d) quotient = 77,  remainder = 0e) quotient = 0,  remainder = 0f) quotient = 0,  remainder = 3g) quotient = 0,  remainder = -1h) quotient = 4,  remainder = 0Step-by-step explanation:The relationship between the quotient, remainder and divisor is that the product of the quotient and divisor added to the reminder gives the dividend.Based on this, whena)19 is divided by 7 = 19/7= 2[tex]\frac{5}{7}[/tex]Hence the quotient is 2, the remainder is 5Applying the same principle, whenb) −111 is divided by 11= -10[tex]\frac{1}{11}[/tex]Hence the quotient is -10, the remainder is -1c) 789 is divided by 23=34[tex]\frac{7}{23}[/tex]Hence the quotient is 34, the remainder is 7d) 1001 is divided by 13= 77Hence the quotient = 77, the remainder is 0e) 0/19 = 0 Hence the quotient is 0, the remainder is 0f) 3/5Hence the quotient is 0, the remainder is 3g) -1/3Hence the quotient is 0, the remainder is -1h) 4/1Hence the quotient is 4, the remainder is 0