Question

Erin decided to divide 1,653 by 27 using partial quotient with multiples of 20. What are all the partial quotients Erin should show in her work?

Answer 1

1,653÷27=61.2
61.2×20=1224

Answer 2

The partial quotients are 20, 20, and 20.

Explanation:

In basic mathematics, a partial quotient refers to a method used in solving large division using simple logic to divide the dividend by the divisor mathematics less abstract to the student.

In the partial-quotients division method of solving mathematical problems, several steps are taken to find the quotient. In each step, you find a partial answer (called a partial quotient); then you find the product of the partial quotient and divisor and subtract it from the dividend. Finally, you add all the partial quotients to find the final quotient .

In the question above, the dividend is 1,653, the divisor is 27 and we are to use a partial quotient with multiples of 20

27⊥ 1653

-540 20 step 1 ( 20*27 =540)

1113

-540 20 step 2 ( 20*27 =540)

573

-540 20 step 3 ( 20*27 =540)

33

Now we will add all the three partial quotient on the right 20+20+20 = 60, reminder 33

the answer is 60 reminder 33